Nonlinear diffusion equations for maximum entropy principle with kappa-entropy

这项工作是由意大利都灵理工大学的G.Kaniadakis博士和A.M.Scarfone博士于2002年提出的基于kappa-熵的kappa广义热统计的研究。我们发现了非线性扩散方程和Fokker-Planck方程与kappa-熵相关的显式表达式，并揭示了kappa-熵的广义最大熵原理的基本机制。

This work is a research study on the kappa-generalized thermostatistics based on kappa-entropy, which was proposed in 2002 by Dr. G.Kaniadakis and Dr. A.M.Scarfone in Politechnical University in Torino (Politecnico di Torino), Italy. We have found that the explicit expressions of the nonlinear diffusion and Fokker-Planck equations associated with kappa-entropy, and shown the underlying mechanism of the generalized maximum entropy (MaxEnt) principle for kappa-entropy.