论文标题

一种严格的散射方法,用于从平衡的情况

A rigorous scattering approach to quasifree fermionic systems out of equilibrium

论文作者

Aschbacher, Walter H.

论文摘要

在严格的公理框架内,用于描述具有大量自由度的量子机械系统,我们为准固定的纤维化系统构建了所谓的非平衡稳态稳态,该系统与各向异性XY链相对应,在该链中,在该链中,有限的样品,由有限的局部规范分解了局部规范的分流式扰动,以破坏各种敏感性,以均匀地渗透且均可恢复两种温度。使用时间依赖和固定散射理论,我们严格地证明了所考虑的非平衡系统在热力学上是非平凡的,即其熵产生速率严格是阳性的。

Within the rigorous axiomatic framework for the description of quantum mechanical systems with a large number of degrees of freedom, we construct the so-called nonequilibrium steady state for the quasifree fermionic system corresponding to the isotropic XY chain in which a finite sample, subject to a local gauge breaking anisotropy perturbation, is coupled to two thermal reservoirs at different temperatures. Using time dependent and stationary scattering theory, we rigorously prove, from first principles, that the nonequilibrium system under consideration is thermodynamically nontrivial, i.e., that its entropy production rate is strictly positive.

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