自旋玻璃中的定态化和多重热化
Stationarization and Multithermalization in spin glasses
摘要：
我们进一步发展的研究系统中接触的多浴具有不同的温度在广泛分离的时间尺度。我们考虑那些系统，不热化在有限的时间内与普通浴接触时，但可以这样做，在与多浴接触。热力学积分是可能的，从而允许一个恢复的基础上进行的测量在一个“多可逆”变换的静态分布。我们表明，在这样的协议，系统在每一步所描述的Boltzmann-Gibbs分布，在过去已经研究的泛化。Guerra的自旋眼镜的约束插值方案与此密切相关：通过将其转换为动态设置，我们展示了它实际上是如何在实践中实现的。在我们的方法中，长期以来在自旋玻璃中研究的温度与“副本数”的相图平面简单地变成了系统所接触的两个温度。我们建议，这种表示可以用来直接比较唯象和平均场启发models.Finally，我们展示了如何近似的平衡概率分布可以推断实验的基础上沿几乎可逆的变换测量。
英文摘要：
We develop further the study of a system in contact with a multibath having different temperatures at widely separated timescales. We consider those systems that do not thermalize in finite times when in contact with an ordinary bath but may do so in contact with a multibath. Thermodynamic integration is possible, thus allowing one to recover the stationary distribution on the basis of measurements performed in a `multi-reversible' transformation. We show that following such a protocol the system is at each step described by a generalization of the Boltzmann-Gibbs distribution, that has been studied in the past. Guerra's bound interpolation scheme for spin-glasses is closely related to this: by translating it into a dynamical setting, we show how it may actually be implemented in practice. The phase diagram plane of temperature vs "number of replicas", long studied in spin-glasses, in our approach becomes simply that of the two temperatures the system is in contact with. We suggest that this representation may be used to directly compare phenomenological and mean-field inspired models.Finally, we show how an approximate out of equilibrium probability distribution may be inferred experimentally on the basis of measurements along an almost reversible transformation.
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