Fracton Hydrodynamics without Time-Reversal Symmetry,Physical Review Letters

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Fracton Hydrodynamics without Time-Reversal Symmetry
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-10-03 , DOI: 10.1103/physrevlett.129.150603
Jinkang Guo ₁ , Paolo Glorioso ₂ , Andrew Lucas ₁

Affiliation

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.

中文翻译：

没有时间反演对称性的 Fracton 流体动力学

基于 Martin-Siggia-Rose 形式，我们提出了一种有效的场论，用于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。将这种形式主义应用于仅具有电荷和多极守恒以及时间反演对称性破坏的流体，我们预测了无限多新的动力学普遍性类，包括一些具有任意大的上临界尺寸的流体。使用经典马尔可夫链的大规模模拟，我们发现了四极守恒模型中流体动力学崩溃的数值证据，该模型在一个空间维度上具有破坏的时间反演对称性。我们的框架可以应用于围绕开放系统静止状态的流体动力学，

更新日期：2022-10-03

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