A PVW-based framework predicts viscoelastic crack delay times and crack evolution under arbitrary loads while introducing a path-independent J-integral that yields a generalized Griffith criterion for delayed fracture.
Mixed citations
Transport, collective motion, and brownian motion
Mixed citation behavior. Most common role is background (60%).
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2026 8representative citing papers
A novel identity connects reduced-model drift and diffusion to the conditional score of the finite-time transition density, turning calibration into a least-squares problem over stationary lagged pairs that preserves invariant statistics and dynamical correlations.
3D wind-tunnel simulations in the χ~10^3 regime show clump-cocoon geometry sets SB_X/SB_Hα~3, with Hα fraction fixed by atomic physics and X-ray fraction set by residence time in the X-ray band that scales inversely with pressure.
Mamba-Assisted Closure (MAC) trains a Mamba sequence model on resolved trajectories to predict non-Markovian closures and couples it with reduced-order equations, outperforming Markovian, GRU, and Wilks baselines on Burgers' and Lorenz '96 systems.
Deterministic macroscopic motion is a geometric attractor of contact flow arising from exact cancellation between probability-gradient amplification and contact-stiffness decay, conserving information unlike Mori-Zwanzig projections.
A reduced electrothermal model with stochastic terms and an absorbing boundary broadens the SEB threshold into a probabilistic band and predicts noise-induced subthreshold runaway.
Cosmic ray transport requires a propagator P(k,s) that encodes memory and non-diffusive behaviors rather than being reduced to a single diffusion coefficient.
A particle linearly coupled to a Gaussian field acquires nonlinear, non-Markovian effective dynamics with a generalized fluctuation-dissipation theorem, producing critical spectral singularities, driven oscillations, dipolar heat patterns, and anomalous self-chemotactic diffusion.
citing papers explorer
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Theory of fracture initiation and propagation in viscoelastic media
A PVW-based framework predicts viscoelastic crack delay times and crack evolution under arbitrary loads while introducing a path-independent J-integral that yields a generalized Griffith criterion for delayed fracture.
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Conditional Score-Based Modeling of Effective Langevin Dynamics
A novel identity connects reduced-model drift and diffusion to the conditional score of the finite-time transition density, turning calibration into a least-squares problem over stationary lagged pairs that preserves invariant statistics and dynamical correlations.
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Clumps in a Cocoon: Geometry and Mixing Set the Universal X-ray to H$\alpha$ Surface Brightness Ratio
3D wind-tunnel simulations in the χ~10^3 regime show clump-cocoon geometry sets SB_X/SB_Hα~3, with Hα fraction fixed by atomic physics and X-ray fraction set by residence time in the X-ray band that scales inversely with pressure.
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Mamba-Assisted Non-Markovian Closure for Reduced-Order Modeling
Mamba-Assisted Closure (MAC) trains a Mamba sequence model on resolved trajectories to predict non-Markovian closures and couples it with reduced-order equations, outperforming Markovian, GRU, and Wilks baselines on Burgers' and Lorenz '96 systems.
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When Certainty Emerges from Stochasticity: Hidden Attractor of Deterministic Motion
Deterministic macroscopic motion is a geometric attractor of contact flow arising from exact cancellation between probability-gradient amplification and contact-stiffness decay, conserving information unlike Mori-Zwanzig projections.
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Stochastic first-passage modeling of single-event burnout in SiC power MOSFETs
A reduced electrothermal model with stochastic terms and an absorbing boundary broadens the SEB threshold into a probabilistic band and predicts noise-induced subthreshold runaway.
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Beyond the Diffusion Coefficient: Propagators and Memory in Cosmic Ray Transport
Cosmic ray transport requires a propagator P(k,s) that encodes memory and non-diffusive behaviors rather than being reduced to a single diffusion coefficient.
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Stochastic dynamics of particles in correlated fields
A particle linearly coupled to a Gaussian field acquires nonlinear, non-Markovian effective dynamics with a generalized fluctuation-dissipation theorem, producing critical spectral singularities, driven oscillations, dipolar heat patterns, and anomalous self-chemotactic diffusion.