论文标题

相互作用的多体系统中的热力学不确定性关系

Thermodynamic Uncertainty Relation in Interacting Many-Body Systems

论文作者

Koyuk, Timur, Seifert, Udo

论文摘要

热力学不确定性关系(TUR)已经对几乎没有自由度的系统进行了很好的研究。虽然原则上,TUR也为具有许多相互作用的自由度的更复杂的系统持有,但到目前为止,它在此类系统中的行为鲜为人知。我们在热力学极限中分析了与短距离相互作用的驱动颗粒混合物的混合物。我们的主要结果是根据单粒子电流和两个粒子电流之间的总熵产生的最佳估计表达。各种版本的驱动晶格气体的定量结果证明了这种方法的实际实现。

The thermodynamic uncertainty relation (TUR) has been well studied for systems with few degrees of freedom. While, in principle, the TUR holds for more complex systems with many interacting degrees of freedom as well, little is known so far about its behavior in such systems. We analyze the TUR in the thermodynamic limit for mixtures of driven particles with short-range interactions. Our main result is an explicit expression for the optimal estimate of the total entropy production in terms of single-particle currents and correlations between two-particle currents. Quantitative results for various versions of a driven lattice gas demonstrate the practical implementation of this approach.

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