兰州理工大学学报 ›› 2025, Vol. 51 ›› Issue (4): 166-172.

• 数理科学 • 上一篇    

非均匀十字通道网络中活性布朗粒子的输运

张亚熙1, 张鹏娟1, 赵光阔1, 郝睿1, 王鹏1,2, 王旭明*1,3   

  1. 1.宁夏大学 物理学院, 宁夏 银川 750021;
    2.宁夏大学 前沿交叉学院, 宁夏 中卫 755000;
    3.宁夏沙漠信息智能感知重点实验室, 宁夏 银川 750021
  • 收稿日期:2024-03-13 出版日期:2025-08-28 发布日期:2025-09-05
  • 通讯作者: 王旭明(1967-),男,宁夏西吉人,博士,教授,博导.Email:wxmwang@nxu.edu.cn
  • 基金资助:
    宁夏重点研发项目(引才专项)(2022BSB03050)

Transport of active Brownian particles in non-uniform cross channel networks

ZHANG Ya-xi1, ZHANG Peng-juan1, ZHAO Guang-kuo1, HAO Rui1, WANG Peng1,2, WANG Xu-ming1,3   

  1. 1. School of Physics, Ningxia University, Yinchuan 750021, China;
    2. Frontier Crossing College, Ningxia University, Zhongwei 755000, China;
    3. Ningxia Key Laboratory of Intelligent Sensing for Desert Information, Yinchuan 750021, China
  • Received:2024-03-13 Online:2025-08-28 Published:2025-09-05

摘要: 针对肿瘤微环境等复杂生物介质的特殊结构以及活性布朗粒子在其中的输运特征,将微环境抽象为一类不对称的“十”字通道网络.建立由三次势场、周期驱动、环境拖拽力以及非均匀通道阻碍所支配的随机动力学模型.考察粒子在非对称通道上的随机游走.模拟结果展示了粒子以亚扩散方式输运、定向输运随时间振荡、粒子逆势场力方向移动的绝对负流等特征,动力学分析和关联分析揭示了相关机制.

关键词: 复杂生物介质, 十字通道网络, 活性布朗粒子, 非平衡输运

Abstract: Focuses on the special structure of complex biological media such as tumor microenvironment and the transport characteristics of active Brownian particles in it, the microenvironment is abstracted as an asymmetric “cross” channel network. A stochastic dynamic model is established, dominated by a cubic potential field, periodic driving, environmental drag forces, and non-uniform channel obstruction. The random walk of particles on asymmetric channels is further analyzed. The simulation results demonstrate the characteristics of particle transport in a sub-diffusion manner, directional transport oscillating with time, and absolute negative current of the particles moving against the direction of the potential field force. Dynamics and correlation analyses are conducted to reveal the relevant mechanisms.

Key words: complex biological media, cross channel network, active Brownian particle, non-equilibrium transport

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