论文标题
用多局部进行热化：简单模型中的调查
Thermalization with a multibath: an investigation in simple models
论文作者
论文摘要
我们在分析和数字上研究了几个范式的自旋模型，每组都用两组变量附加到两个不同的热浴中，这些变量具有特征性的时间尺度$ t $ $ t $和$τ$，以及反度$ b $和$β$。在一个浴室变得非常慢的极限（$τ\至\ infty $）中，此类型号等于paramagnet和一维铁磁铁，并与单个浴室接触。我们表明，这些系统在有限的时间内达到固定状态，无论选择$ b $和$β$。我们确定自相关与响应函数之间的非平衡波动散动之间的关系，从中，我们讨论了是否发生两个浴场的热量以及如何发生与非平凡波动 - 隔离率的出现。
We study analytically and numerically a couple of paradigmatic spin models, each described in terms of two sets of variables attached to two different thermal baths with characteristic timescales $T$ and $τ$ and inverse temperatures $B$ and $β$. In the limit in which one bath becomes extremely slow ($τ\to \infty$), such models amount to a paramagnet and to a one-dimensional ferromagnet, in contact with a single bath. We show that these systems reach a stationary state in a finite time for any choice of $B$ and $β$. We determine the non-equilibrium fluctuation-dissipation relation between the autocorrelation and the response function in such state and, from that, we discuss if and how thermalization with the two baths occurs and the emergence of a non-trivial fluctuation-dissipation ratio.
