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arXiv 0905.4168cond-mat.softcond-mat.stat-mech
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颗粒棘轮模型

Models of granular ratchets

G. Costantini, A. Puglisi, U. Marini Bettolo Marconi

摘要:

我们研究了一个一般的颗粒布朗棘轮模型,该模型由一个在直线上运动的非对称物体和一个被二维颗粒气体包围的颗粒气体组成,而颗粒气体又与一个外部随机驱动力耦合。我们讨论了两个由此产生的玻尔兹曼方程描述的气体和物体在稀极限,并获得一个封闭的系统的前几个时刻的系统速度分布。净棘轮漂移,其速度波动的方差和马尔可夫极限的过渡率的预测,进行了比较,数值模拟和公平的协议观察。

英文摘要:

We study a general model of granular Brownian ratchet consisting of an asymmetric object moving on a line and surrounded by a two-dimensional granular gas, which in turn is coupled to an external random driving force. We discuss the two resulting Boltzmann equations describing the gas and the object in the dilute limit and obtain a closed system for the first few moments of the system velocity distributions. Predictions for the net ratchet drift, the variance of its velocity fluctuations and the transition rates in the Markovian limit, are compared to numerical simulations and a fair agreement is observed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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