标题： 一种随机相对论流体力学的新有效理论 显示英文标题

标题： A new effective theory for stochastic relativistic hydrodynamics

摘要： 热涨落是耗散系统的基本特征，对于理解QCD预期临界点附近的物理以及小系统中的物理至关重要。 当在相对论系统中天真地模拟这些涨落时，可能会出现一些奇怪的特性，例如负的自相关函数。 我们构建了一个非线性随机相对论流体力学的有效理论，该理论确保了数学公式的良好定义。 利用Crooks涨落定理，我们推导出一个有效作用量的对称性，该对称性通过适当的自由能泛函包含涨落。 对于发散型理论，可以通过一个矢量生成电流完全指定作用量。 使用此过程得到的运动方程在动力学是因果的情况下，保证是通量守恒且对称双曲的。 这确保了这些方程在适当初始数据下是良好定义的，并且以易于模拟的形式呈现，包括使用Metropolis技术。 显示英文摘要

摘要： Thermal fluctuations are a fundamental feature of dissipative systems that are essential for understanding physics near the expected critical point of QCD and in small systems. When such fluctuations are modeled naively in relativistic systems, strange features can appear such as negative self-correlation functions. We construct an effective theory for nonlinear stochastic relativistic hydrodynamics that ensure a well-posed mathematical formulation. Using Crooks fluctuation theorem, we derive a symmetry of the effective action that incorporates fluctuations through a suitable free energy functional. For divergence type theories, the action can then be fully specified using a single vector generating current. The equations of motion obtained using this procedure are guaranteed to be flux conservative and symmetric hyperbolic when the dynamics is causal. This ensures that these equations are well-posed (for suitable initial data) and are in a form that can easily be simulated, including with Metropolis techniques.