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Collective Power: Minimal Model for Thermodynamics of Nonequilibrium Phase Transitions

机译:集体功率:非预测阶段过渡热力学的最小模型

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We propose a thermodynamically consistent minimal model to study synchronization which is made of driven and interacting three-state units. This system exhibits at the mean-field level two bifurcations separating three dynamical phases: a single stable fixed point, a stable limit cycle indicative of synchronization, and multiple stable fixed points. These complex emergent dynamical behaviors are understood at the level of the underlying linear Markovian dynamics in terms of metastability, i.e., the appearance of gaps in the upper real part of the spectrum of the Markov generator. Stochastic thermodynamics is used to study the dissipated work across dynamical phases as well as across scales. This dissipated work is found to be reduced by the attractive interactions between the units and to nontrivially depend on the system size. When operating as a work-to-work converter, we find that the maximum power output is achieved far from equilibrium in the synchronization regime and that the efficiency at maximum power is surprisingly close to the linear regime prediction. Our work shows the way towards building a thermodynamics of nonequilibrium phase transitions in conjunction with the bifurcation theory.
机译:我们提出了一种热力学上一致的最小模型来研究由驱动和交互三状态单位制成的同步。该系统在分离三个动态阶段的平均场等级的平均场等级:单个稳定的固定点,稳定的极限循环,指示同步,以及多个稳定的固定点。这些复杂的紧急动力学行为应理解在稳定性方面,即马尔可夫发生器频谱上部实际部分中的空隙的外观。随机热力学用于研究动态阶段的耗散工作以及横跨尺度。发现这种消散的工作是通过单位之间的有吸引力的相互作用而减少,并不依赖于系统尺寸。当作为工作转换器运行时,我们发现最大功率输出远远距离同步制度的平衡,并且最大功率下的效率令人惊讶地接近线性状态预测。我们的作品表明了与分叉理论结合建立非QuiBiribium转换的热力学的方法。

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