Landscape and flux theory of non-equilibrium dynamical systems with application to biology

	Landscape and flux theory of non-equilibrium dynamical systems with application to biology
	Wang,Jin
刊名	advances in physics
	2015
卷号	64 期号:1 页码:1-137
关键词	YEAST-CELL-CYCLE FLUCTUATION-DISSIPATION THEOREM FREE-ENERGY DIFFERENCES HYSTERETIC JOSEPHSON-JUNCTION STOCHASTIC REACTION-DIFFUSION STEADY-STATE THERMODYNAMICS CENTRAL PATTERN GENERATORS MANY-BODY PROBLEM GLOBAL STABILITY GENE-EXPRESSION
通讯作者	wang,j
英文摘要	we present a review of the recently developed landscape and flux theory for non-equilibrium dynamical systems. we point out that the global natures of the associated dynamics for non-equilibrium system are determined by two key factors: the underlying landscape and, importantly, a curl probability flux. the landscape (u) reflects the probability of states (p) (u = -ln p) and provides a global characterization and a stability measure of the system. the curl flux term measures how much detailed balance is broken and is one of the two main driving forces for the non-equilibrium dynamics in addition to the landscape gradient. equilibrium dynamics resembles electron motion in an electric field, while non-equilibrium dynamics resembles electron motion in both electric and magnetic fields. the landscape and flux theory has many interesting consequences including (1) the fact that irreversible kinetic paths do not necessarily pass through the landscape saddles; (2) non-equilibrium transition state theory at the new saddle on the optimal paths for small but finite fluctuations; (3) a generalized fluctuation-dissipation relationship for non-equilibrium dynamical systems where the response function is not just equal to the fluctuations at the steady state alone as in the equilibrium case but there is an additional contribution from the curl flux in maintaining the steady state; (4) non-equilibrium thermodynamics where the free energy change is not just equal to the entropy production alone, as in the equilibrium case, but also there is an additional housekeeping contribution from the non-zero curl flux in maintaining the steady state; (5) gauge theory and a geometrical connection where the flux is found to be the origin of the gauge field curvature and the topological phase in analogy to the berry phase in quantum mechanics; (6) coupled landscapes where non-adiabaticity of multiple landscapes in non-equilibrium dynamics can be analyzed using the landscape and flux theory and an eddy current emerges from the non-zero curl flux; (7) stochastic spatial dynamics where landscape and flux theory can be generalized for non-equilibrium field theory. we provide concrete examples of biological systems to demonstrate the new insights from the landscape and flux theory.
收录类别	SCI
语种	英语
WOS记录号	WOS:000354924700001
内容类型	期刊论文
源URL	[http://ir.ciac.jl.cn/handle/322003/64506]
专题	长春应用化学研究所_长春应用化学研究所知识产出_期刊论文
推荐引用方式 GB/T 7714	Wang,Jin. Landscape and flux theory of non-equilibrium dynamical systems with application to biology[J]. advances in physics,2015,64(1):1-137.
APA	Wang,Jin.(2015).Landscape and flux theory of non-equilibrium dynamical systems with application to biology.advances in physics,64(1),1-137.
MLA	Wang,Jin."Landscape and flux theory of non-equilibrium dynamical systems with application to biology".advances in physics 64.1(2015):1-137.