Physics Education
Improving student understanding via interactive learning tutorial on quantum key distribution using entanglement
Liam Doyle and Chandralekha Singh
We describe the development, validation and implementation of a
Quantum Interactive Learning Tutorial (QuILT) on
quantum key distribution (QKD) using
entanglement, a context which involves a practical application of
quantum concepts relevant for the second
quantum revolution. The QuILT helps students learn
quantum concepts relevant for
quantum cryptography using a simple two-particle system. The protocol uses two entangled particles and two Stern-Gerlach Apparati to generate a random shared key over a public channel for encrypting and decrypting information. It actively engages students in the learning process and helps them build links between the concepts learned in class and their real world applications. The QuILT was implemented as a homework in a traditional
quantum mechanics course and a
quantum computing and
quantum information course. The evaluation suggests that the QuILT is helpful in improving students' understanding of the concepts related to QKD in both courses. Also, the evaluation of the QuILT in both types of courses with or without lecture-based instruction in relevant QKD concepts suggests that the QuILT can be given as a homework after lecture-based instruction on
entanglement without in-class discussion on QKD. Therefore,
entanglement can be covered without taking up much in-class time, while also providing students with an understanding of the QKD method and how it protects from eavesdroppers.
Read the full abstract ▾
Geophysics
Kinematics of erosion-induced landslide mobility
Shiva P. Pudasaini
Erosion-induced landslide mobility is a prominent phenomenon in nature. However, this topic remains poorly understood, even though erosion greatly alters nearly every aspect of landslide mechanics, dynamics, run-out, mobility, deposition structure and the enormous destructive power carried by such catastrophic events. Here, I present a simple, elegant, and exact analytical model describing the kinematics of erosion-induced landslide mobility in terms of a newly constructed mobility controller containing essential forcing mechanisms in erosion. In contrast to the classical perspective, I formally prove that, irrespective of how large the erosion rate is, the erosion rate alone is not sufficient to determine enhanced or reduced mobility; mobility is also greatly regulated by the volume bulking rate, erosion drag or thrust, and flow depth. With this mechanical mobility controller, it is now possible to explain precisely when the mobility of an erodible landslide is enhanced or reduced. I demonstrate that, a mechanically valid, physically founded erosion model must be able to explain both the enhanced and reduced mobility of erosive landslides.
Read the full abstract ▾
General Physics
Energy Conservation, Lorentz Invariance and a Second Dimension of Time
S. R. Elliott, R. Massarczyk and S. Zahir
The law of conservation of energy can be stated: Energy can neither be created or destroyed but only converted to from one form to another. Laboratory experiments demonstrating that no energy is lost or gained during a conversion have been rare. Interestingly, there is a close connection between energy conservation, Lorentz violation and the possibility of a second dimension of time. We explore this connection within a model of Lorentz invariance that incorporates a second dimension of time. The model's Lorentz transformation
matrix reduces to the well-known one-dimension of time version in the limit of a parameter that defines the relative size of the extra dimension. If the parameter is finite, one might misinterpret the energy equivalence of mass or observe a deviation from the accepted time dilation formalism. We explore different experimental limits on this new parameter including Lorentz violating parameters from the Standard-Model Extension.
Read the full abstract ▾
General Physics
Rényi Entropy and the Topological Features of Charged AdS Black Hole
Muhammad Yasir, Tong Lining, Farzan Mushtaq et al. (+4 more)
This study applies Duan's topological current $\phi$-mapping theory to investigate a newly proposed charged modified AdS black hole using the Rényi
entropy formalism, examining its thermodynamic properties across the canonical, mixed, and grand canonical ensembles.} Electric and
magnetic charges are fixed in the canonical ensemble, whereas the mixed ensemble incorporates electric and
magnetic potentials. The grand canonical ensemble, meanwhile, ensures consistency by employing these potentials exclusively. Initially, we compute topological charges by identifying critical points in each ensemble. In both the canonical and mixed ensembles, we identify a conventional critical point with a topological charge of $-1$. We then model the black hole's domain in the AdS regime as a topological defect in thermodynamic space and analyze its local and global
topology by calculating the winding numbers at these defect locations. {Interestingly, the canonical and mixed ensembles exhibit identical black hole
topologies, each possessing a total topological charge of $1$ within the framework of the Rényi
entropy.} Finally, we characterize the canonical, mixed, and grand canonical ensembles based on the presence of generation/annihilation points: the canonical ensemble has one such point, the mixed ensemble has a negative one, and the grand canonical ensemble has none.
Read the full abstract ▾
All authors Muhammad Yasir, Tong Lining, Farzan Mushtaq, Xia Tiecheng, Sudhaker Upadhyay, Aram Bahroz Brzo, Behnam Pourhassan
Computational Physics · Cross-listed from cs.AI
Symbolic Machine Learning for Vapor-Liquid Equilibrium Prediction in Cx-N2 Binary Mixtures
Bongseok Kim, Suman Chakraborty, Gary Huang et al. (+3 more)
Accurate prediction of vapor–
liquid equilibrium (VLE) for hydrocarbon-nitrogen mixtures remains challenging for cubic equations of state, particularly across broad ranges of composition and hydrocarbon chain length. While deep learning models can provide accurate predictions, they often lack interpretability and explicit analytical expressions. In this work, we propose a symbolic machine learning approach to discover interpretable symbolic corrections to Peng-Robinson equation-of-state (PR-EOS) predictions from experimental data. The proposed approach adopts a two-level strategy: symbolic expressions are first identified for individual hydrocarbon systems, after which their coefficients are represented as functions of carbon number to enable accurate prediction across different hydrocarbon systems. The results demonstrate significantly improved prediction accuracy over the original PR-EOS across all hydrocarbon-nitrogen systems. Overall, the proposed approach provides an interpretable symbolic correction framework for improving PR-EOS predictions of hydrocarbon-nitrogen VLE.
Read the full abstract ▾
All authors Bongseok Kim, Suman Chakraborty, Gary Huang, Mehek Mathur, Guang Lin, Li Qiao
Atmospheric and Oceanic Physics · Cross-listed from cs.LG
FarSky: Task-Aware Latent-Space Coupling for Generative Intra-Hour Solar Forecasting
Yann Fabel, Bijan Nouri, Milon Miah et al. (+4 more)
Accurate
solar irradiance
forecasting is essential for the reliable integration of photovoltaic power into modern electricity grids. All-sky imagers (ASI) provide high-resolution observations of clouds, making them well suited for intra-hour
forecasting. Recent deep learning approaches have substantially improved forecast accuracy but are often limited by deterministic predictions and a reduced capability to anticipate ramp events. This work proposes FarSky, a generative
forecasting framework that leverages latent-space coupling to learn task-aware representations of sky images. A multi-task autoencoder first learns a shared latent representation for image reconstruction and irradiance estimation. A latent
diffusion model then generates future latent states conditioned on recent observations, from which irradiance forecasts are directly decoded. Probabilistic forecasts are inherently obtained through
stochastic sampling. The framework is developed using a multi-year ASI
dataset acquired at the Plataforma
Solar de Almería, Spain, and evaluated on two independent test
datasets against persistence, state-of-the-art end-to-end, and generative
forecasting approaches. FarSky achieves the best overall deterministic and probabilistic
forecasting performance, improving forecast skill by up to 11 percentage points. Furthermore, it substantially improves ramp event detection over existing methods, achieving F1-scores above 60%. These results demonstrate the potential of combining generative models with task-aware latent-space coupling for
solar forecasting.
Read the full abstract ▾
All authors Yann Fabel, Bijan Nouri, Milon Miah, Niklas Blum, Luis F. Zarzalejo, Julia Kowalski, Robert Pitz-Paal
Atmospheric and Oceanic Physics
The iSTORM Instrument for Airborne Measurements of Gamma-Ray Emissions from Thunderstorms
Daniel Shy, J. Eric Grove, Bernard Phlips et al. (+7 more)
The in-Situ Thunderstorm Observer for Radiation Mechanisms (iSTORM) is a gamma-ray spectrometer to study gamma-ray transients originating from thunderstorms, such as glows and terrestrial gamma-ray flashes (TGFs). It is designed and built by the U.S. Naval Research Laboratory for deployment aboard a NASA ER-2 aircraft. Using an array of 32 one-inch-diameter $\mathrm{CeBr}_3$ scintillators read out with silicon photomultipliers (SiPMs), the instrument achieves an energy range of $\sim 250 \ \mathrm{keV}$ to $5 \ \mathrm{MeV}$ under flight conditions, with a total geometrical area of $157 \ \mathrm{cm^2}$. One of two gamma-ray instruments in the ALOFT campaign, iSTORM recorded glows, terrestrial gamma-ray flashes (TGFs), and the newly discovered flickering gamma-ray flashes (FGFs).
Read the full abstract ▾
All authors Daniel Shy, J. Eric Grove, Bernard Phlips, Alena Schell, Mary Johnson-Rambert, Mason Quick, David Corredor, Scott Podgorny, Roy Salinas, Mitch Davis
Physics and Society
The Impact of Cut-ins on Mixed-Autonomy Traffic Flow: Bridging Microscopic Game-Theoretic Model and Macroscopic Flow Analysis
Yu Song
The transition to automated transportation introduces mixed-autonomy traffic where human drivers may strategically exploit the risk-averse behavior of Connected and Automated Vehicles (CAVs). While microscopic models capture these dyadic interactions, their aggregate impact on network-level stability remains unquantified due to the scale gap between
agent-based and continuum models. This study bridges this analytical divide by integrating a game-theoretic friction term directly into the macroscopic kinematic wave framework. We model the cut-in maneuver as a Stackelberg game, identifying a distinct "exploitation window" where human drivers leverage CAV defensiveness to execute aggressive merges. By deriving a closed-form micro-macro bridge, we translate these discrete strategic outcomes into a continuous friction parameter that endogenously modifies the traffic conservation law. Theoretical analysis and numerical simulations confirm that this behavioral asymmetry functions as a deterministic destabilizer, generating perturbation source terms that trigger phantom jams and strictly reduce road capacity. Crucially, we reveal a convex relationship between CAV penetration and system efficiency, identifying a critical instability regime at intermediate penetration rates (approximately 45 percent) where the frequency of exploitable interactions is maximized. These findings demonstrate that without socially aware control policies, the defensive nature of early-deployment CAVs may paradoxically degrade traffic flow stability.
Read the full abstract ▾
Plasma Physics
The Equations of Reduced Magnetohydrodynamics in Dipole Coordinates
Ian M. DesJardin, Christopher Bard, Natalia Y. Buzulukova et al. (+1 more)
The equations of reduced magnetohydrodynamics (RMHD) isolate the Alfvénic energy transfer and
turbulence dynamics from MHD in a computationally tractable way. In this study, we derive the equations of RMHD for a low $\beta$
plasma in a dipole coordinate system aligned with the background
magnetic field using a multiscale analysis. The Kreiss
theorem is used to derive the
equilibrium conditions that the background conditions must satisfy on the time scale of MHD
turbulence. From these, we find a connection between
plasma flow along flux tubes and changes in the Alfvén speed that may drive nonlinear wave effects. The final equations demonstrate an intimate coupling between field aligned currents and
plasma vorticity including the effects of nonuniform flux tube area and realistic
plasma density profiles. This work has immediate application to the magnetosphere-ionosphere coupling problem in the Earth's magnetosphere as it provides a way to link dynamically evolving field aligned currents from the magnetosphere, especially important during geomagnetic storms and substorms, with the development of magnetohydrodynamic
turbulence at low altitudes in a self-consistent manner. This also clarifies the role of Alfvén waves as a transfer mechanism of energy under these inhomogeneous circumstances while remaining simple enough to make predictions. Furthermore, this study makes use of a novel methodology, a computer
algebra system, in performing the brunt of algebraic work under complicated coordinate systems. We hope this approach serves as a template for performing reproducible and verifiable multiscale perturbation analysis under arbitrarily complex geometries.
Read the full abstract ▾
All authors Ian M. DesJardin, Christopher Bard, Natalia Y. Buzulukova, John C. Dorelli
Optics
Q penalties due to pump phase modulation and pump RIN in fiber optic parametric amplifiers with non-uniform dispersion
J.M. Chavez Boggio, A. Guimaraes, F.A. Callegari et al. (+2 more)
We present an experimental and numerical investigation of the quality factor degradation ($\Delta Q$) due to pump phase modulation and pump relative intensity noise (RIN) in single- and double-pumped fiber optical parametric amplifiers (FOPAs). These penalties are investigated in FOPAs constructed with fibers having constant and randomly varying zero-dispersion wavelength ($\lambda_0$) along the fiber. We show that pump phase modulation in uniform fibers (constant $\lambda_0$) produces large $Q$ penalties, while in fibers with variations of $\lambda_0$, these penalties can be strongly reduced in both single- and double-pumped FOPAs. We also show that $Q$ penalties due to pump phase modulation tend to disappear in FOPAs made with very short fibers ($L<0.1~\mathrm{km}$) and very low dispersion slope $ S_0 < 0.002~ \mathrm{ps}\, \mathrm{nm}^{-2}\, \mathrm{km}^{-1}. $ The $Q$ penalties due to pump RIN, which for typical FOPA parameters are much smaller than those due to pump phase modulation, are also reduced in non-uniform fibers (varying $\lambda_0$), but do not depend on fiber length nor on fiber dispersion slope.
Read the full abstract ▾
All authors J.M. Chavez Boggio, A. Guimaraes, F.A. Callegari, J.D. Marconi, H.L. Fragnito
Physics and Society
Baseline-referenced spatial early warning signals for tipping points on heterogeneous networks
Tharusha Bandara, Shilong Yu and Naoki Masuda
Anticipating tipping points in complex systems is difficult because many early warning signals require long time series, which are often unavailable in practice. Spatial early warning signals offer an alternative by using a single snapshot across many interacting elements, or nodes. However, their performance in heterogeneous systems is often inconsistent because raw node states reflect both dynamical changes associated with an approaching transition and static heterogeneity induced by network structure. Here, we propose a baseline-referenced framework for spatial early warning signals. The method compares each node's state with its own baseline far from the tipping point before computing a spatial statistic, thus reducing network-structure-induced variation. We evaluate baseline-referenced variants of five classical spatial early warning signals across diverse tipping scenarios and networks, and find that baseline referencing markedly improves variance-based spatial signals. The best variants increase consistently and progressively toward tipping points across different scenarios, outperform a single-node temporal variance that requires long time series, and retain high performance even when up to 80% of nodes are omitted from observation. These results provide a practical route for using spatial early warning signals in heterogeneous networked systems when dense temporal monitoring or complete network-wide observation is infeasible, as is often the case in real applications.
Read the full abstract ▾
Fluid Dynamics
A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades
Mickaël D. Chekroun and James C. McWilliams
The equations of fluid motion are known; retaining their physics after removing most degrees of freedom remains a fundamental problem. Closure must preserve the geometry of the dynamics it replaces. We introduce
Symplectic Geometric Closure (SGC), a prognostic
stochastic field theory carrying Euler's
Hamiltonian, area-preserving transport into two-dimensional and $\beta$-plane
turbulence. SGC couples resolved vorticity to a hidden
stochastic reservoir. The coupling conserves augmented enstrophy while permitting bidirectional energy transfer. This yields a compact random attractor in the hyperviscous Navier–Stokes–$\beta$ realization. Numerically, SGC sustains jets,
vortices and filaments in high-Reynolds-number
turbulence with high fidelity to filtered DNS at an inertial-range cutoff, preserving
geometric identities to machine precision. The induced transport folds, stretches and rearranges vorticity: cross-gradient coupling selects interactions through resolved–reservoir gradient misalignment, retaining
geometric selectivity and
memory. The same geometry addresses spurious sweeping decorrelation, a longstanding obstacle to Eulerian closure. The interaction vertex excludes uniform translation and is Random Galilean compatible. Eliminating the reservoir generates finite
memory,
stochastic backscatter and a Dyson–Volterra equation for the dressed propagator. Its one-loop, line-renormalized self-energy reproduces Kraichnan-type Direct-Interaction Approximation architecture with fourth-order infrared suppression of sweeping. Deformation-controlled
memory and conservative triad constraints yield the $k^{-5/3}$ inverse-energy and $k^{-3}$ forward-enstrophy cascades under standard assumptions. SGC thus realizes Kraichnan's program through Eulerian field dynamics, opening a route to data-driven closures that learn admissible
geometric interactions rather than unconstrained forces.
Read the full abstract ▾
Optics
Grape expectations: direct thermographic imaging of electric fields in microwave Mie resonators
Kallan K. Ronholm, Yuchen Song and Aaron D. Slepkov
Internal electromagnetic fields determine the behaviour of dielectric nano-resonators, yet they remain exceptionally difficult to measure directly because subwavelength scales place them beyond conventional optical measurement, and any probe capable of local sensing perturbs the field it seeks to measure. We circumvent this limitation using water's high refractive index at microwave frequencies, which lets centimetre-scale aqueous spheres—grapes—serve as directly measurable, scale-invariant analogs of high-index nanophotonic resonators. Using polarization-controlled free-space excitation and infrared thermography, we show that internal heating patterns in grapes closely track simulated electric-, but not
magnetic-, field distributions for both the fundamental
magnetic- and electric-dipole Mie resonances. Extending this approach to grape dimers, we demonstrate that the massively sub-wavelength inter-object hotspot associated with microwave-induced sparking forms only under axial polarization, thus providing both a clue to its origin and a means for its control.
Read the full abstract ▾
Atmospheric and Oceanic Physics · Cross-listed from astro-ph.EP
Alkali Metallicity, Mineral Clouds, and Deep Atmospheric Variability on Jupiter
Xi Zhang, Jiheng Hu, Cheng Li et al. (+1 more)
The bulk elemental abundances of Jupiter provide critical insights into its formation history and interior structure. Recent observations by the Juno Microwave Radiometer (MWR) reveal a deep Jovian atmosphere significantly depleted in electrons, implying an alkali metal (Na, K) abundance of 10^-1 - 10^-5 times
solar. This depletion stands in sharp contrast to the supersolar volatile enrichments measured by the Galileo probe. We propose that this apparent depletion arises from mineral cloud-induced processes deep in the atmosphere. We explore two physical mechanisms using thermochemical and microphysical modeling. In the "chemical sequestration" scenario, vigorous vertical mixing lofts deep refractory condensates (e.g., spinel) into the 1000-2000 bar region, where they react to form alkali feldspars (albite) and feldspathoids (leucite), efficiently sequestering gaseous Na and K. In the "
dust-catalyzed recombination" scenario, the bulk alkali inventory remains gaseous, but the free electron density is suppressed by
dust-
plasma interactions. Thermally emitted alkali ions from the surfaces of micron-sized iron and silicate grains significantly increase the cation density, driving rapid recombination of free electrons. Both mechanisms allow for a bulk
solar or even supersolar alkali inventory while suppressing the electron density to match Juno observations. Analyzing an extended
dataset of MWR observations with 61 perijoves, we detect spatial variability in the deep atmosphere that suggests modulation by mineral clouds. Our findings challenge the traditional rainout framework, unveiling a deep "mineralogical zone" in Jupiter shaped by dynamics and heterogeneous chemistry, resembling the photospheres of hot
exoplanets and brown
dwarfs.
Read the full abstract ▾
All authors Xi Zhang, Jiheng Hu, Cheng Li, Quentin Williams
Atmospheric and Oceanic Physics · Cross-listed from astro-ph.EP
Juno Microwave Observations Reveal Jupiter's Deep Alkali-Chlorine Relation
Xi Zhang, Jiheng Hu, Cheng Li et al. (+2 more)
The longest-wavelength channel of the Juno Microwave Radiometer (MWR) probes Jupiter's kilobar atmosphere through free electrons produced by sodium and potassium ionization. Under
equilibrium chemistry the electron abundance is the small residual of the charge balance between alkali cations and the anions Cl- and HS-. Chlorine is not directly measurable in Jupiter's deep atmosphere because gaseous HCl is removed from the observable atmosphere by NH4Cl condensation, whereas sulfur has been measured by the Galileo probe. The MWR-derived electron measurement therefore constrains the alkali-to-chlorine ratio rather than the alkali abundance alone. We combine the MWR observations with
equilibrium chemistry and microwave radiative transfer in a
Bayesian framework, finding that the deep gas-phase elemental alkali-to-chlorine abundance ratio is (Na+K)/Cl = 0.05 over 0.3-5 times
solar in chlorine, about 180 times below the protosolar ratio of 8.7. At 3 times
solar chlorine, the inferred alkali
metallicity is 1.6 x 10^-2 times
solar (1 sigma: 1.2 x 10^-2 - 2.7 x 10^-2 times
solar), while at low chlorine abundance HS- sets an alkali floor near 10^-3 times
solar. The inferred gas-phase alkali abundance exceeds the ~10^-5 times
solar threshold by more than two orders of magnitude and rules out the long-proposed global kilobar radiative zone. Because sodium and potassium are refractory whereas chlorine is volatile, the inferred ratio provides a new diagnostic of the rock-to-ice balance in the solids accreted by Jupiter. This compositional interpretation assumes
equilibrium chemistry; if lofted mineral clouds instead control the electron abundance under disequilibrium conditions, the inferred alkali-chlorine relationship need not hold.
Read the full abstract ▾
All authors Xi Zhang, Jiheng Hu, Cheng Li, Louis Siebenaler, Yury Aglyamov
Optics · Cross-listed from eess.IV
Implicit Neural Speckle Denoising
Matthew R. Ziemann, Casey J. Pellizzari, Tyler J. Hardy et al. (+1 more)
Speckle fundamentally limits coherent imaging by introducing multiplicative, spatially correlated noise that obscures scene structure. Removing speckle noise from dynamic scenes–that do not benefit from conventional speckle averaging–is particularly challenging. We introduce a training-free framework that combines a spatiotemporal implicit neural representation with an aperture-aware maximum-likelihood formulation to recover dynamic, speckle-free imagery directly from noisy observations. The coherent likelihood explicitly models the aperture-dependent spatial covariance of speckle, enabling adaptation to arbitrary pupil geometries without retraining. A
matrix-free implementation based on FFT-accelerated operators,
stochastic approximations, and conjugate gradients makes optimization practical for realistic image sizes. Meanwhile, a blind holdout criterion provides automatic early stopping without clean reference data. Simulated and laboratory results demonstrate improved spatial fidelity, temporal consistency, and robustness to varying speckle statistics relative to classical, unsupervised, and supervised baselines.
Read the full abstract ▾
All authors Matthew R. Ziemann, Casey J. Pellizzari, Tyler J. Hardy, Christopher A. Metzler
Computational Physics · Cross-listed from quant-ph
Exact quantum circuits for a lattice Boltzmann realization of the Dirac equation
Nilesh Sawant, Ethan Young, Kevin Patrick Griffin et al. (+1 more)
The
quantum lattice Boltzmann scheme of Succi and Dellar advances a four-component Dirac spinor on a
lattice by a fixed sequence of local, exactly norm-preserving operations: a basis rotation, a collision, a streaming shift, and the inverse rotation. While this correspondence has been noted qualitatively, it has remained unclear whether it can be realized exactly and unitarily as a gate-model
quantum circuit. This unitarity is a structural property of the scheme, which should, in principle, enable an operator-by-operator port onto
quantum hardware. We give a gate-level construction of every operation of the three-dimensional Dirac QLB scheme: the fixed rotation gates, the collision gate, the streaming shift as a controlled increment on a position register, the position-dependent potential as a phase oracle, and periodic and reflecting boundary conditions as
unitary circuits. Together, these constructions provide the first complete demonstration that the scheme is exactly representable in the gate model without any approximation beyond the classical method itself. We then compose them into single-axis, two- and three-dimensional time steps. On a state-vector emulator the resulting
circuits reproduce the classical QLB solver to machine precision, thus verifying our
quantum implementation. Our aim is representability and correctness rather than computational speedup; questions of state preparation, asymptotic cost, and hardware noise are identified as open avenues for future work. Appendices restore physical units, derive the scheme's Zitterbewegung in closed form and compare it with a trapped-ion simulation, and execute a reduced two-site instance on a Rigetti superconducting processor, where choosing the
qubits from the live calibration lowers the state-preparation error. All operators,
circuits, and figures are reproducible from the open-source quantumKineticMethods library.
Read the full abstract ▾
All authors Nilesh Sawant, Ethan Young, Kevin Patrick Griffin, Michael Martin
Fluid Dynamics
Effect of Chordwise Flexibility Distribution on Wave-Assisted Flapping Foil Performance
Lokesh Silwal, Neel Karani and Anchal Sareen
This study investigates the influence of the spatial distribution of flexibility along a propulsor on thrust generation and propulsive efficiency in wave-assisted flapping foils. While flexibility is known to enhance propulsive performance, the role of its chordwise placement remains poorly understood. Here, the effective flexible length is systematically varied by shifting the flexure location along the tail while maintaining constant flexural
rigidity and total chord length. Experiments are conducted in quiescent flow at heave frequencies of 0.8 Hz and 1.25 Hz, and non-dimensional heave amplitudes of h* = 0.13 and 0.22. Simultaneous measurements of hydrodynamic forces, flow fields, and tail kinematics are used to quantify performance and elucidate the underlying fluid-structure and fluid-particle interactions. The fully flexible configuration consistently achieves higher propulsive efficiency (up to approximately 164%) across all conditions, which is attributed to enhanced jet persistence and increased streamwise
vortex spacing, indicative of a more coherent and sustained momentum jet. In contrast, the mid-flexible configuration yields substantially higher thrust (up to approximately 66%) at the largest heave frequency and amplitude, driven by a pronounced increase in near-wake jet velocity and momentum flux. These results demonstrate that the chordwise distribution of flexibility governs the trade-off between thrust and propulsive efficiency by modulating wake coherence and momentum transfer. The findings establish flexibility placement as a key design parameter in flapping propulsion and provide physics-based guidelines for enhancing the performance and endurance of wave-driven unmanned surface vehicles.
Read the full abstract ▾