论文标题
瞬时电流及其宏观效应的几何结构:非梯度模型中的涡流和观点
Geometrical structures of the instantaneous current and their macroscopic effects: vortices and perspectives in non-gradient models
论文作者
论文摘要
首先,我们讨论相互作用粒子系统中瞬时电流的定义,尤其是在质量能系统中,并指出其在流体动力学推导中的作用。后来,当速率满足共同对称性时,我们会呈现一些瞬时电流的几何结构。这些结构在非梯度模型中提供了一些新的想法,并在扩散相互作用的粒子系统中显示了新的现象学。具体而言,我们介绍了具有涡度的模型,并就绿色库博公式与非梯度模型的流体动力学之间的联系介绍了一些新观点。
First we discuss the definition of the instantaneous current in interacting particle systems, in particular in mass-energy systems and we point out its role in the derivation of the hydrodynamics. Later we present some geometrical structures of the instantaneous current when the rates satisfy a common symmetry. These structures give some new ideas in non-gradient models and show new phenomenology in diffusive interacting particle systems. Specifically, we introduce models with vorticity and present some new perspectives on the link between the Green-Kubo's formula and the hydrodynamics of non-gradient models.