スピン系の相転移・臨界現象
,非平衡定常系の熱力学の構築
,量子統計力学の基礎づけ
,強相関電子系における強磁性の起源
,量子多体系
,数理物理学
,phase transition and critical phenomena in spin systems
,construction of thermodynamics for nonequilibrium steady state
,foundation of quantum statistical mechanics
,origin of ferromagnetism in strongly interacting electron systems
,quantum many-body systems
,mathematical physics
Teruhisa S. Komatsu   Naoko Nakagawa   Shin-ichi Sasa   Hal Tasaki   
PHYSICAL REVIEW LETTERS 100(23) 2008年6月
Starting from microscopic mechanics, we derive thermodynamic relations for heat conducting nonequilibrium steady states. The extended Clausius relation enables one to experimentally determine nonequilibrium entropy to the second order in the heat ...
Teruhisa S. Komatsu   Naoko Nakagawa   Shin-ichi Sasa   Hal Tasaki   
PHYSICAL REVIEW LETTERS 100(23) 2008年6月
Starting from microscopic mechanics, we derive thermodynamic relations for heat conducting nonequilibrium steady states. The extended Clausius relation enables one to experimentally determine nonequilibrium entropy to the second order in the heat ...
We present the first rigorous example of the Hubbard model in any dimension which exhibits metallic ferromagnetism. The model is a genuine Hubbard model with short-range hopping and on-site Coulomb repulsion, and has many single-electron bands. In...
LETTERS IN MATHEMATICAL PHYSICS 79(3) 251-261 2007年3月
Starting from and only using classical Hamiltonian dynamics, we prove the maximum work principle in a system where macroscopic dynamical degrees of freedom are intrinsically coupled to microscopic degrees of freedom. Unlike in many of the standard...
We present the first rigorous example of the Hubbard model in any dimension which exhibits metallic ferromagnetism. The model is a genuine Hubbard model with short-range hopping and on-site Coulomb repulsion, and has many single-electron bands. In...