5 papers
Deformable Charge Dynamics in Biological Environments: An Extended Structural Dynamics Foundation for Biological Electrostatics
Patrick BarAvi
The point-charge approximation is one of the most successful idealizations in molecular biophysics, but it becomes strained in strong fields, confined geometries, and crowded aqueo…
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…
Extended Structural Dynamics and the Lorentz Abraham Dirac Equation: A Deformable Charge Interpretation
Patrick BarAvi
Radiation reaction in classical electrodynamics is traditionally described by the Lorentz Abraham Dirac equation (LAD), whose point particle formulation leads to well known difficu…
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…
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…