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.

中文翻译：

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旋转玻璃的平稳化和多重热化

我们进一步发展了在广泛分开的时间范围内与具有不同温度的多浴接触的系统的研究。我们认为那些与普通浴池接触时不会在有限时间内热化的系统，但在与多浴池接触时可能会热化。可以进行热力学积分，从而使人们可以基于“多可逆”转换中执行的测量来恢复平稳分布。我们表明遵循这样的协议，系统在每个步骤都由Boltzmann-Gibbs分布的概括来描述，该分布已在过去进行了研究。Guerra的旋转玻璃边界插值方案与此紧密相关：通过将其转换为动态设置，我们展示了它实际上如何在实践中实现。温度的相位图平面与“