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cond-mat.stat-mech2026
Anomalous Diffusion as Structural Memory: An Extended Structural Dynamics Approach
Patrick BarAvi
Sub-diffusion in biological systems is conventionally treated as anomalous, requiring fractional derivatives, heavy-tailed waiting times, or fitted memory kernels. We argue that th…
cond-mat.stat-mech2026
Structural Viscosity, Thermal Waves, and the Mpemba Effect from Extended Structural Dynamics
Patrick BarAvi
Classical hydrodynamics rests on the point-particle idealization, leading to parabolic transport equations, infinite signal speeds, and the inability to capture finite time relaxat…
cond-mat.stat-mech2026
Geometric Irreversibility - Enriching Lanford's Theorem with Orientational and Deformable Degrees of Freedom
Patrick BarAvi
We propose an extended structural dynamics framework that enriches classical mechanics by treating particle orientation and internal structure as fundamental phase-space coordinate…