The Stability of the Non-Equilibrium Steady States

被引：0
|
作者：
Yoshiko Ogata
机构：
[1] The University of Tokyo,Department of Physics Graduate School of Science,
来源：
Communications in Mathematical Physics | 2004年 / 245卷
关键词：
Steady State; Spectral Analysis; Dispersion Relation; Fermion System; Liouville Operator;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that the non-equilibrium steady state (NESS) of the free lattice Fermion model far from equilibrium is macroscopically unstable. The problem is translated to that of the spectral analysis of the Liouville Operator. We use the method of positive commutators to investigate it. We construct a positive commutator on the lattice Fermion system, whose dispersion relation is ω(k)=cosk−γ.
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页码：577 / 609
页数：32
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