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Heat flux in general quasifree fermionic right mover/left mover systems
Reviews in Mathematical Physics ( IF 1.4 ) Pub Date : 2021-03-08 , DOI: 10.1142/s0129055x21500185
Walter H. Aschbacher 1
Affiliation  

With the help of time-dependent scattering theory on the observable algebra of infinitely extended quasifree fermionic chains, we introduce a general class of so-called right mover/left mover states which are inspired by the nonequilibrium steady states for the prototypical nonequilibrium configuration of a finite sample coupled to two thermal reservoirs at different temperatures. Under the assumption of spatial translation invariance, we relate the 2-point operator of such a right mover/left mover state to the asymptotic velocity of the system and prove that the system is thermodynamically nontrivial in the sense that its entropy production rate is strictly positive. Our study of these not necessarily gauge-invariant systems covers and substantially generalizes well-known quasifree fermionic chains and opens the way for a more systematic analysis of the heat flux in such systems.

中文翻译:

一般准自由费米子右移/左移系统中的热通量

借助关于无限扩展准自由费米子链的可观测代数的时间相关散射理论,我们引入了一类通用的所谓右动/左动态,其灵感来自于原型非平衡构型的非平衡稳态。有限样本耦合到不同温度的两个热储层。在空间平移不变性的假设下,我们将这种右移/左移状态的2点算子与系统的渐近速度联系起来,并证明系统在熵产率严格为正的意义上是热力学非平凡的.
更新日期:2021-03-08
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