布朗马达在周期余弦势能与线性耦合作用下的随机共振现象研究  

Research of Stochastic Resonance Phenomenon of Brownian Motors Under the Periodic Cosine Potential Energy and Linear Coupling

作　　者：谭康艳 晏娟 聂霞 Tan Kangyan;Yan Juan;Nie Xia(School of Mathematics, Honghe University, Mengzi 661100, China)

机构地区：[1]红河学院数学学院,云南蒙自661100

出　　处：《黑龙江科学》2020年第18期8-13,共6页Heilongjiang Science

基　　金：云南省大学生创新创业计划训练项目(DCXL171029)。

摘　　要：研究了具有周期势的分数阶过阻尼Langevin系统的随机共振现象,包括系统的势垒高度、耦合力、噪声强度等因素对粒子运动及随机共振产生的明显程度的影响。结果表明:粒子链的平均流速会随着周期外力与势阱高度的变化而产生广义随机共振现象;周期外力和耦合力的改变都可以使粒子链产生定向输运现象;在系统外力与耦合力不够大的情况下,噪声强度的改变对粒子链如何运动的影响微乎其微;如果耦合力和系统外力足够大,那么这两个因素对粒子链的输运起到的是阻碍作用。在系统阶数适中的情况下,促使粒子链定向输运;耦合力在系统阶数充分大时,才能对粒子链的运动行为有显著的影响。We analyze the stochastic resonance phenomenon of periodic fractional order overdamping Langevin system,including the obvious influence of factors,such as barrier height,bonding force and noise intensity etc,on particle movement and stochastic resonance.The result shows that generalized stochastic resonance phenomenon of mean flow rate of particle chain will occur with the change periodic external force and potential well height;changes of periodic external force and bonding force can make particles have orienteering transportation;under the situation of not enough system external force and bonding force,change of noise intensity has little influence on the particle chain movement;if there is enough bonding force and external force,the two factors have inhibition function on particle chain movement.The suitable system order can promote the orienteering transportation of particle chain;bonding force can only has significant influence on particle chain movement under the circumstance of system order.

关 键 词：LANGEVIN方程 布朗马达 定向输运 随机共振 

分 类 号：O552.1[理学—热学与物质分子运动论]