Fracton Hydrodynamics without Time-Reversal Symmetry
Fracton Hydrodynamics without Time-Reversal Symmetry
复制标题
无时间反演对称性的分形流体动力学
DOI：
10.1103/physrevlett.129.150603
复制
发表时间：
2022
影响因子：
8.6
通讯作者：
Lucas, Andrew
中科院分区：
文献类型：
--
作者：
Guo, Jinkang;Glorioso, Paolo;Lucas, Andrew
基于Martin-Siggia-Rose形式，我们提出了一个有效场理论，用于研究具有或不具有时间反演对称性的单个守恒电荷的非线性波动流体动力学。应用这种形式主义的流体只有电荷和多极守恒，并打破时间反演对称性，我们预测无限多个新的动力学普适类，包括一些任意大的临界尺寸上限。使用大规模模拟的经典马尔可夫链，我们发现的四极守恒模型在一个空间维度上的时间反演对称性破缺的流体力学故障的数值证据。我们的框架可以应用到周围的开放系统的定态流体动力学，扩大了以前开发的思想和方法的适用性，以广泛的系统驱动和活性物质。
We present an effective field theory for the nonlinear fluctuating hydrodynamics of a single conserved charge with or without time-reversal symmetry, based on the Martin-Siggia-Rose formalism. Applying this formalism to fluids with only charge and multipole conservation, and with broken time-reversal symmetry, we predict infinitely many new dynamical universality classes, including some with arbitrarily large upper critical dimensions. Using large scale simulations of classical Markov chains, we find numerical evidence for a breakdown of hydrodynamics in quadrupole-conserving models with broken time-reversal symmetry in one spatial dimension. Our framework can be applied to the hydrodynamics around stationary states of open systems, broadening the applicability of previously developed ideas and methods to a wide range of systems in driven and active matter.