FLUCTUATION THEOREM, NONEQUILIBRIUM STEADY STATES AND MACLENNAN- ZUBAREV ENSEMBLES OF A CLASS OF LARGE QUANTUM SYSTEMS
FLUCTUATION THEOREM, NONEQUILIBRIUM STEADY STATES AND MACLENNAN- ZUBAREV ENSEMBLES OF A CLASS OF LARGE QUANTUM SYSTEMS
复制标题
一类大型量子系统的涨落定理、非平衡稳态和麦克伦南-祖巴列夫系综
DOI：
10.1142/9789812704412_0006
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
T. Matsui
中科院分区：
文献类型：
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作者：
S. Tasaki;T. Matsui
对于一个由有限子系统和多个储层组成的无限扩展系统，研究了系统状态的时间演化。最初，储层在不同温度和化学势下处于平衡状态。如果时间演化为l1渐近阿贝尔，则(i)稳态存在，（ii）它们及其相对熵产生与子系统和储层的划分方式无关，（iii）它们对局部扰动是稳定的。给出了相对熵产生的显式表达式和稳态的KMS表征。并给出了MacLennan-Zubarev系综的严格定义。在演化和初始状态是时间反转对称的条件下，导出了涨落定理的一个非交换类比。
For an infinitely extended system consisting of a finite subsystem and several reservoirs, the time evolution of states is studied. Initially, the reservoirs are prepared to be in equilibrium with different temperatures and chemical potentials. If the time evolution is L1-asymptotic abelian, (i) steady states exist, (ii) they and their relative entropy production are independent of the way of division into a subsystem and reservoirs, and (iii) they are stable against local perturbations. The explicit expression of the relative entropy production and a KMS characterization of the steady states are given. And a rigorous definition of MacLennan-Zubarev ensembles is proposed. A noncommutative analog to the fluctuation theorem is derived provided that the evolution and an initial state are time reversal symmetric.