论文标题

软球洛伦兹模型中的异常运输

Anomalous transport in the soft-sphere Lorentz model

论文作者

Petersen, Charlotte F., Franosch, Thomas

论文摘要

通过计算机模拟研究了拥挤培养基中异常运输对颗粒间相互作用形式的敏感性。我们将高度简化的Lorentz模型扩展到了现实的自然系统,通过对示踪剂和障碍物之间的相互作用进行建模,并具有光滑的潜力。我们发现,临界点处的异常运输恰好由与硬排除相互作用相同的通用指数支配,尽管探测狭窄的通道的机制相当不同。靠近临界点的模拟的缩放行为证实了这一指数。我们的结果表明,简单的Lorentz模型可能适用于描述在真正拥挤的环境中远程运输的基本属性。

The sensitivity of anomalous transport in crowded media to the form of the inter-particle interactions is investigated through computer simulations. We extend the highly simplified Lorentz model towards realistic natural systems by modeling the interactions between the tracer and the obstacles with a smooth potential. We find that the anomalous transport at the critical point happens to be governed by the same universal exponent as for hard exclusion interactions, although the mechanism of how narrow channels are probed is rather different. The scaling behavior of simulations close to the critical point confirm this exponent. Our result indicates that the simple Lorentz model may be applicable to describing the fundamental properties of long-range transport in real crowded environments.

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