H-Theorem with Generalized Relative Entropies and the Tsallis Statistics

スポンサーリンク

概要

• 論文の詳細を見る

• Generalized relative entropies with a real parameter q are proposed for lVIarkovian stochasticprocesses, and the associated II-theorern is proved. The proposed entropies play the role of aLyapunov function as the standard relative entropy known as the Kullback-Leibler divergencedoes. The H-theorern can be applied to Tsallis statistics, and itis shown that the nonequilibriunafree energy, consistently defined based on the generalized entropy in the franaework of Tsa[Iisstatistics, rnonotonically decreases to attain its eqtrilibriuna valvre.

• 社団法人日本物理学会の論文
• 1998-11-15

著者

• Shiino Masatoshi

  Department of Applied Physics

• Shiino Masatoshi

  Department Of Applied Physics Faculty Of Science Tokyo Institute Of Technology

関連論文

• Nonlinear Master Equation Approach to Asymmertrica Neural Networks of the Hopfield-Hemmen Type
• Associative Memory of Analog Networks without the Energy Concept Using Biased Patterns and Positive-Valued Transfer Functions
• Chaotic Image Retrieval in Markovian Asymmetric Neural Networks with Sign-Constrained Synaptic Couplings
• Statistical mechanics of attractor neural networks and self-consistent signal-to-noise analysis : analog neural networks with nonmonotonic transfer functions and enhancement of the storage capacity(New Developments in Statistical Physics Similarities in D
• Critical Behaviour of Spin Relaxation in EuS
• H-Theorem with Generalized Relative Entropies and the Tsallis Statistics

スポンサーリンク