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Limit Properties of One Dimensional Periodic Hopping Model
Yun-xin Zhang*
Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Science, Fudan University, Shanghai 200433, China
Abstract:
One dimensional periodic hopping model is useful to understand the motion of microscopic particles in thermal noise environment. In this research, by formal calculation and based on detailed balance, the explicit expressions of the limits of mean velocity and diffusion constant of this model as the number of internal mechanochemical sates tend to infinity are obtained.These results will be helpful to understand the limit of the one dimensional hopping model.At the same time, the work can be used to get more useful results in continuous form from the corresponding ones obtained by discrete models.
Key words:  Diffusion constant, Mean velocity, Hopping model
FundProject:
Limit Properties of One Dimensional Periodic Hopping Model
张云新*
上海市现代应用数学重点实验室,复旦大学数学科学学院,上海200433
摘要:
在细致平衡的基础上,通过形式运算得到了平均速度及有效扩散常数在模型的内部状态数量趋向无穷大时的极限显示表达式.这一结果将有助于进一步了解一维跳跃模型的性质.
关键词:  扩散常数,平均速度,跳跃模型
DOI:10.1088/1674-0068/23/01/65-68
分类号: