14 papers
The Concept of Temperature in the Modern Physics
Dmitrii Tayurskii, Alain Le Méhauté
The physical quantity "temperature" is a cornerstone of thermodynamics and statistical physics. But it is necessary to mention that very frequently the scientists forget about the…
Maximum Path Information and Fokker-Planck Equation
Wei Li, Alexandre Wang, Alain Le Mehaute
We present in this paper a rigorous method to derive the nonlinear Fokker-Planck (FP) equation of anomalous diffusion directly from a generalization of the principle of least actio…
Fractional Dynamics, Tiling Equilibrium states and Riemann's zeta function
A. Le Méhauté, A. El Kaabouchi, L. Nivanen +1
Il is argued that the generalisation of the mechanical principles to other variables than localisation, velocity and momentum leads to the laws of generalized dynamics under the co…
A counterexample against the Lesche stability of a generic entropy functional
Aziz El Kaabouchi, Qiuping A. Wang, C. J. Ou +3
We provide a counterexample to show that the generic form of entropy S(p)=sum_i g(p_i) is not always stable against small variation of probability distribution (Lesche stability) e…
Maximizable informational entropy as measure of probabilistic uncertainty
C. J. Ou, A. El Kaabouchi, L. Nivanen +3
In this work, we consider a recently proposed entropy S (called varentropy) defined by a variational relationship dI=beta*(d<x>-<dx>) as a measure of uncertainty of random variable…
Stochastic action principle and maximum entropy
Q. A. Wang, F. Tsobnang, S. Bangoup +3
A stochastic action principle for stochastic dynamics is revisited. We present first numerical diffusion experiments showing that the diffusion path probability depend exponentiall…