论文标题
限制活性布朗颗粒的机械压力和工作周期
Mechanical pressure and work cycle of confined active Brownian particles
论文作者
论文摘要
我们得出一个分析表达式，用于限制活性布朗颗粒（ABP）的通用一维模型的机械压力，该模型适用于PECLET数字PE的所有值和所有限制场景。我们的模型以PE^2的形式重现了已知的散装压力尺度，而在强烈的限制压力尺度上则以PE为单位。我们的分析结果通过2D中ABP的模拟很好地重现了我们的分析结果。我们使用压力公式来计算主动发动机执行的工作及其效率。特别是，对于有限时期的工作周期而言，效率最大化，而不是像热力学发动机那样在无限缓慢的循环中。
We derive an analytic expression for the mechanical pressure of a generic one-dimensional model of confined active Brownian particles (ABPs) that is valid for all values of Peclet number Pe and all confining scenarios. Our model reproduces the known scaling of bulk pressure with Pe^2 while in strong confinement pressure scales with Pe. Our analytic results are very well reproduced by simulations of ABPs in 2D. We use the pressure formula to calculate both the work performed by an active engine and its efficiency. In particular, efficiency is maximized for work cycles with finite period and not in the limit of infinitely slow cycles as in thermodynamic engines.
