Seminars on Numerical Algorithms, Analyses, and Applications：Cycle currents defined in the loop-erased and spanning tree manners: a comparative study

：贾晨（北京计算科学研究中心）
：2022-12-23 10:00
：腾讯会议ID：276-591-089（无密码）

报告人：贾晨（北京计算科学研究中心）

时  间：12月23日上午10:00-11:30

地  点：腾讯会议ID：276-591-089（无密码）

内容摘要:

The cycle current is a crucial quantity in stochastic thermodynamics. The absolute and net cycle currents of a Markovian system can be defined in the loop-erased (LE) or spanning tree (ST) manner. Here we make a comparative study between the large deviations and fluctuation theorems for LE and ST currents, i.e. cycle currents defined in the LE and ST manners. First, we derive the exact joint distribution and large deviation rate function for the LE currents of a system with a cyclic topology and also obtain the exact rate function for the ST currents of a general system. The relationship between the rate functions for LE and ST currents is clarified and the analytical results are applied to examine the fluctuations in the product rate of a three-step reversible enzyme reaction. Furthermore, we examine various types of fluctuation theorems satisfied by LE and ST currents and clarify their ranges of applicability. We show that both the absolute and net LE currents satisfy the strong form of all types of fluctuation theorems. In contrast, the absolute ST currents do not satisfy fluctuation theorems, while the net ST currents only satisfy the weak form of fluctuation theorems under the periodic boundary condition.

个人简介：

贾晨，特聘研究员，博士生导师。于北京大学数学科学学院取得学士学位与博士学位，博士毕业后赴美先后在德克萨斯达拉斯分校与韦恩州立大学任助理研究员，回国后加入北京计算科学研究中心。贾晨主要从事数学、生物学、物理学等交叉领域的研究，特别是复杂生化网络的随机动力学与随机热力学研究。目前任中国运筹学会计算系统生物学分会青年理事。主持国家自然科学基金面上项目，参与国家自然科学基金重点项目。以第一作者或通讯作者发表学术论文40余篇，多项研究工作发表在PRX, Cell子刊, SIAM汇刊, PCB, JCP, AAP等相关领域内的权威杂志上。

 

联系人：黄灿