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arXiv 1003.6024cond-mat.stat-mech
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聚合物在棘轮系统中的输运特性

Characteristics of the polymer transport in ratchet systems

Janne Kauttonen, Juha Merikoski

摘要:

以短链Rubinstein-Duke模型聚合物为例,研究了含时周期势场中具有复杂内部结构的分子。我们扩展我们以前的工作运输随机变化的电位,也包括确定性的电位开关机制,能量效率和不均匀的电荷分布。我们还使用非平衡稳态中的电流来识别导致聚合物传输的主导机制并分析宏观状态的演变(例如,聚合物的总长度和头对头长度)。几种数值方法被用来解决主方程和非线性优化问题。主要的传输机制,通过图形优化方法。结果表明,分子结构和环境变量的微小变化都会导致漂移的大幅增加。漂移和相干性可以通过使用确定性的闪烁电位和定制的聚合物电荷分布来放大。通过图形分析工具确定主要的传输机制,发现在如何通过棘轮效应传输的分子提供洞察力。

英文摘要:

Molecules with complex internal structure in time-dependent periodic potentials are studied by using short Rubinstein-Duke model polymers as an example. We extend our earlier work on transport in stochastically varying potentials to cover also deterministic potential switching mechanisms, energetic efficiency and non-uniform charge distributions. We also use currents in the non-equilibrium steady state to identify the dominating mechanisms that lead to polymer transportation and analyze the evolution of the macroscopic state (e.g., total and head-to-head lengths) of the polymers. Several numerical methods are used to solve the master equations and nonlinear optimization problems. The dominating transport mechanisms are found via graph optimization methods. The results show that small changes in the molecule structure and the environment variables can lead to large increases of the drift. The drift and the coherence can be amplified by using deterministic flashing potentials and customized polymer charge distributions. Identifying the dominating transport mechanism by graph analysis tools is found to give insight in how the molecule is transported by the ratchet effect.

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