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首页> 外文期刊>The Journal of Chemical Physics >Stresses in non-equilibrium fluids: Exact formulation and coarse-grained theory
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Stresses in non-equilibrium fluids: Exact formulation and coarse-grained theory

机译：非平衡流体的应力：精确的配方和粗粒理论

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Starting from the stochastic equation for the density operator, we formulate the exact (instantaneous) stress tensor for interacting Brownian particles and showthat its average value agrees with expressions derived previously. We analyze the relation between the stress tensor and forces due to external potentials and observe that, out of equilibrium, particle currents give rise to extra forces. Next, we derive the stress tensor for a Landau-Ginzburg theory in generic, non-equilibrium situations, finding an expression analogous to that of the exact microscopic stress tensor, and discuss the computation of out-of-equilibrium (classical) Casimir forces. Subsequently, we give a general form for the stress tensor which is valid for a large variety of energy functionals and which reproduces the two mentioned cases. We then use these relations to study the spatio-temporal correlations of the stress tensor in a Brownian fluid, which we compute to leading order in the interaction potential strength. We observe that, after integration over time, the spatial correlations generally decay as power laws in space. These are expected to be of importance for driven confined systems. We also show that divergence-free parts of the stress tensor do not contribute to the Green-Kubo relation for the viscosity. Published by AIP Publishing.
机译：从密度操作员的随机方程开始，我们制定了用于相互作用的褐色颗粒的精确（瞬时）应力张量，并且其平均值与先前衍生的表达式同意。我们分析了由于外部电位引起的压力张力和力之间的关系，并观察到均衡，粒子电流产生额外的力量。接下来，我们在通用的非平衡情况下导出Landau-Ginzburg理论的压力张量，发现与精确的微观应力张量相似的表达，并讨论了均衡外（经典）卡西米尔力的计算。随后，我们为应力张量提供了一般的形式，该压力张量对于大量的能量函数有效，并且再现两个提到的案例。然后，我们使用这些关系来研究褐色流体中应力张量的时空相关性，我们在相互作用潜在的力量中计算到领先的顺序。我们观察到，在整合随时间之后，空间相关通常衰减作为空间中的电力法。这些预计对驱动的狭窄系统具有重要性。我们还表明，压力张量的无分离部件对粘度的绿色kubo关系没有贡献。通过AIP发布发布。

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