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Nonlinear Stochastic Processes: dissipative and conservative dynamics and thermodynamics, phase transition and biological applications

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报告题目   Nonlinear Stochastic Processes: dissipative and conservative dynamics and thermodynamics, phase transition and biological applications
报告人   Prof. QIAN Hong
报告人单位   University of Washington
报告时间   2014-07-17
报告地点   合肥微尺度物质科学国家实验室九楼会议室
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:
  Individual-based population dynamics articulates stochastic behavior of individuals and considers deterministic equations at the population level as an emergent phenomenon. Using chemical species inside a small aqueous volume (a cell) as an example, we introduce Delbruck-Gillespie birth-and-death process for chemical reactions dynamics. Using this formalism, we (1) illustrate the relation between nonlinear saddle-node bifurcation and first- and second-order phase transitions; (2) introduce a thermodynamic theory for entropy and entropy production and prove 1st and 2nd Laws-like theorems. To biology: we suggest the inter-attractoral stochastic dynamics as a possible mechanism for epigenetic variations at the cellular level. To physics: we discuss the fundamental issue of "what is dissipation" and its relation to time reversibility in subsystems.

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