软球洛伦兹模型中的反常输运
Anomalous transport in the soft-sphere Lorentz model
摘要:
通过计算机模拟研究了拥挤介质中反常输运对粒子间相互作用形式的敏感性。我们扩展了高度简化的洛伦兹模型对现实的自然系统建模的示踪剂和障碍物之间的相互作用与平滑的潜力。我们发现,在临界点处的异常传输恰好是由相同的普适指数硬排斥相互作用,虽然窄通道探测的机制是相当不同的。接近临界点的模拟的标度行为证实了这一指数。我们的结果表明,简单的洛伦兹模型可能适用于描述在实际拥挤环境中的长程输运的基本性质。
英文摘要:
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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