论文标题
宏观波动理论和活动晶格气体的当前波动
Macroscopic Fluctuation Theory and Current Fluctuations in Active Lattice Gases
论文作者
论文摘要
我们研究了相互作用的活性粒子的晶格模型的当前大偏差，该模型显示出运动性诱导的相分离（MIP）。为此，我们首先在大型系统限制中得出模型的确切波动流体动力学。除了通常的高斯噪声之外，理论还提出了我们充分考虑的泊松噪声项。我们发现平面密度曲线和急剧分离的行进波之间的动态相变，我们得出了相关的相图以及所有阶段的较大偏差函数，包括显示MIP的一个阶段。我们说明了如何使用与平衡相分离的方法获得结果，尽管问题的性质非平衡性质。
We study the current large deviations for a lattice model of interacting active particles displaying a motility-induced phase separation (MIPS). To do this, we first derive the exact fluctuating hydrodynamics of the model in the large system limit. On top of the usual Gaussian noise terms the theory also presents Poissonian noise terms, that we fully account for. We find a dynamical phase transition between flat density profiles and sharply phase-separated traveling waves, and we derive the associated phase diagram together with the large deviation function for all phases, including the one displaying MIPS. We show how the results can be obtained using methods similar to those of equilibrium phase separation, in spite of the nonequilibrium nature of the problem.
