2 citations · 5 across the 4 of their papers we have counts for
6 papers
The foundations of statistical physics: entropy, irreversibility, and inference
Jonathan Asher Pachter, Ying-Jen Yang, Ken A. Dill
Statistical physics aims to describe properties of macroscale systems in terms of distributions of their microscale agents. Its central tool is the maximization of entropy, a varia…
Duality Symmetry, Two Entropy Functions, and an Eigenvalue Problem in Gibbs' Theory
Jeffrey Commons, Ying-Jen Yang, Hong Qian
We generalize the convex duality symmetry in Gibbs' statistical ensemble formulation, between Massieu's free entropy and the Gibbs entropy as a function…
Nonequilibrium Stationary Process and Fluctuation-Dissipation Relations
Ying-Jen Yang, Hong Qian
A stochastic dynamics has a natural decomposition into a drift capturing mean rate of change and a martingale increment capturing randomness. They are two statistically uncorrelate…
Bivectorial Nonequilibrium Thermodynamics: Cycle Affinity, Vorticity Potential, and Onsager's Principle
Ying-Jen Yang, Hong Qian
We generalize an idea in the works of Landauer and Bennett on computations, and Hill's in chemical kinetics, to emphasize the importance of kinetic cycles in mesoscopic nonequilibr…
Unified formalism for entropy productions and fluctuation relations
Ying-Jen Yang, Hong Qian
Stochastic entropy production, which quantifies the difference between the probabilities of trajectories of a stochastic dynamics and its time reversals, has a central role in none…
The optimal system, similarity reduction and group-invariant solutions to the Fractional Porous Medium equation and Fractional Dual Porous Medium equation
Ying Yang, Li-zhen Wang
In this paper, we developed the group analysis to the time Fractional Porous Medium Equation (FPME) and the time Fractional Dual Porous Medium Equation (FDPME). The symmetry groups…