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8 papers · 1 filter
Representation of nonequilibrium steady states in large mechanical systems
Teruhisa S. Komatsu, Naoko Nakagawa, Shin-ichi Sasa +1
Recently a novel concise representation of the probability distribution of heat conducting nonequilibrium steady states was derived. The representation is valid to the second order…
Steady State Thermodynamics for Heat Conduction -- Microscopic Derivation
Teruhisa S. Komatsu, Naoko Nakagawa, Shin-ichi Sasa +1
Starting from microscopic mechanics, we derive thermodynamic relations for heat conducting nonequilibrium steady states. The extended Clausius relation enables one to experimentall…
An expression for stationary distribution in nonequilibrium steady state
Teruhisa S. Komatsu, Naoko Nakagawa
We study the nonequilibrium steady state realized in a general stochastic system attached to multiple heat baths and/or driven by an external force. Starting from the detailed fluc…
Multiplicative duality, q-triplet and (mu,nu,q)-relation derived from the one-to-one correspondence between the (mu,nu)-multinomial coefficient and Tsallis entropy Sq
Hiroki Suyari, Tatsuaki Wada
We derive the multiplicative duality "q<->1/q" and other typical mathematical structures as the special cases of the (mu,nu,q)-relation behind Tsallis statistics by means of the (m…
A Reversibility Parameter for a Markovian Stepper
Takahiro Harada, Naoko Nakagawa
Recent experimental studies on the stepwize motion of biological molecular motors have revealed that the ``characteristic distance'' of a step is usually less than the actual step…
A two-parameter generalization of Shannon-Khinchin Axioms and the uniqueness theorem
Tatsuaki Wada, Hiroki Suyari
Based on the one-parameter generalization of Shannon-Khinchin (SK) axioms presented by one of the authors, and utilizing a tree-graphical representation, we have further developed…