随机中心耦合布朗马达的定向输运与随机共振
Directed transport and stochastic resonance in centralized coupled Brownian motors with stochastic interactions
作者：倪飞翔(重庆大学数学与统计学院)；王会琦(重庆大学数学与统计学院)；吕王勇(四川师范大学数学与信息科学学院)；林丽烽(福建农林大学计算机与信息学院)；余磊(重庆师范大学计算机与信息科学学院)
Author：NI Fei-Xiang(College of Mathematics and Statistics, Chongqing University)；WANG Hui-Qi(College of Mathematics and Statistics, Chongqing Universtiy)；Lü Wang-Yong(College of Mathematics and Information Science, Sichuan Normal University)；LIN Li-Feng(College of Computer and Information Science, Fujian Agriculture and Forestry University)；YU Lei(College of Computer and Information Science, Chongqing Normal University)
收稿日期：2017-12-11 年卷（期）页码：2018,55(4):661-666
期刊名称：四川大学学报: 自然科学版
Journal Name：Journal of Sichuan University (Natural Science Edition)
关键字：布朗马达; 随机相互作用; 定向输运; 随机共振
Key words：Brownian motor; Stochastic interaction; Directed transport; Stochastic resonance
基金项目：国家自然科学基金（11601357,11701086）；福建省自然科学基金（2017J01550）；重庆市基础科学与前沿技术研究专项基金（cstc2017jcyjAX0412,cstc2014jcyjA40026）
中文摘要
在一些物理和生物环境中, 耦合布朗粒子因受介质的温度、浓度等的影响而与周围粒子作用，产生不同程度的粘附和脱落过程, 其中便伴随着关联结构的随机解耦合和再耦合行为. 本文基于Langevin方程引入了一种新的具有中心随机耦合结构的布朗马达模型来刻画系统输运过程中环境粒子与中心粒子间以一定概率发生局部弹性耦合作用, 并形成关联粒子数的随机涨落. 仿真结果表明, 耦合系统的结构参数、势场对称性及噪声强度等对粒子输运行为均产生显著影响, 并且可以观察到系统协作、随机共振和广义随机共振等现象.
英文摘要
In some physical or biological environments, the surrounding medium contains many particles of the same kind as coupled Brownian particles capable of not only decoupling from the original coupled system but also adhering to each other and recoupling a larger system. Thus a mathematical model is proposed based on Langevin equations (LEs) to characterize the random interactions with fluctuating number of Brownian particles in the centralized coupled system. By the system simulations, the effects of interacting parameters, ratchet asymmetry and noisy intensity on collective transport behaviors are investigated, and some phenomena, such as cooperative behaviors, stochastic resonance (SR) and generalized SR, are observed.
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