| 报告题目 | The Mathematical Theory of Classical Nonequilibrium Steady State |
| 报告人 | Prof. QIAN Hong |
| 报告人单位 | University of Washington |
| 报告时间 | 2014-07-18 |
| 报告地点 | 中国科学技术大学物理楼519房间 |
| 主办单位 | 合肥微尺度物质科学国家实验室、中国科学技术大学物理系 |
| 报告介绍 | 报告摘要：
The concepts of equilibrium and nonequilibrium steady states in a classical many-body system are introduced as mathematical concepts associated with stationary Markov processes. For both discrete stochastic systems with master equations and continuous diffusion processes with Fokker–Planck equations, the nonequilibrium steady state (NESS) is characterized in terms of several key notions which are originated from nonequilibrium physics: time irreversibility, breakdown of detailed balance, free energy dissipation, and positive entropy production rate. After presenting this NESS theory in pedagogically accessible mathematical terms that require only a minimal amount of prerequisites in nonlinear differential equations and the theory of probability, it is applied to molecular motors (also known as Brownian ratchet), a chemomechanical system, and neuronal action potential, an electrochemical system.The theory of NESS provides a unifying mathematical foundation for the emergent stochastic physics. |
