Opus: University of Bath Online Publication Store Dynamical Phase Transitions in One-dimensional Hard-particle Systems

Opus: University of Bath Online Publication Store Dynamical Phase Transitions in One-dimensional Hard-particle Systems
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作品:巴斯大学在线出版物商店一维硬粒子系统中的动态相变

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通讯作者:
R. Jack
R. Jack
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作者:
Ian R Thompson;R. Jack

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此版本根据出版商政策提供。请仅引用使用上述参考文献的出版版本。我们分析了一个一维模型的硬粒子,在合奏的轨迹是有条件的(或偏置)的非典型值的时间平均动力学活动。我们分析了两种现象,与这些大的偏差的活动:相分离(在低活性)和超均匀状态(在高活性)的形成。我们考虑一个版本的模型,它在恒定的体积,和一个版本在恒定的压力。在这些非平衡系统中,两个系综之间会出现差异,因为恒压系统有额外的自由度,可以改变其总密度。我们讨论了不同的系综,力学平衡,和罕见的密度波动的概率成本之间的关系。
This version is made available in accordance with publisher policies. Please cite only the published version using the reference above. We analyze a one-dimensional model of hard particles, within ensembles of trajectories that are conditioned (or biased) to atypical values of the time-averaged dynamical activity. We analyze two phenomena that are associated with these large deviations of the activity: phase separation (at low activity) and the formation of hyperuniform states (at high activity). We consider a version of the model which operates at constant volume, and a version at constant pressure. In these nonequilibrium systems, differences arise between the two ensembles, because of the extra freedom available to the constant-pressure system, which can change its total density. We discuss the relationships between different ensembles, mechanical equilibrium, and the probability cost of rare density fluctuations.