2024/10/23 by Ying-Jen Yang, Yang, Ying-Jen, Ken A. Dill +1 · 1 voice · 4 citations
Decision Sciences · Physics and Astronomy · #Complex Network Analysis Techniques #FOS: Physical sciences #Game Theory and Applications #Opinion Dynamics and Social Influence #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.2410.17495
openalex publication_date 2024/10/23 · arxiv published 2024/10/23 · openalex created_date 2024/11/13 · arxiv updated 2025/08/29 · openalex updated_date 2026/07/28
The great power of EQuilibrium (EQ) statistical physics comes from its principled foundations: its First Law (conservation), Second Law (variational tendency principle), and its Legendre Transforms from observables (U, V, N) to their driving forces (T, p, μ). Here, we generalize this structure to Non-EQuilibria (NEQ) in Caliber Force Theory (CFT), replacing state entropies with path entropies; and (U, V, N) with dynamic observables (node probabilities, edge traffics, and cycle fluxes). CFT derives dynamical forces and a complete set of conjugate relations: (i) It yields generalized Maxwell-Onsager relations, applicable far from equilibrium; (ii) It constructs dynamical models from mixed force-observable constraints; and (iii) It reveals new relationships -- including an ``equal-traffic'' rule for optimizing molecular motors, and a ``third Kirchhoff's law'' of stochastic transport -- and can resolve some dynamical paradoxes.