Potential and flux field landscape theory. I. Global stability and dynamics of spatially dependent non-equilibrium systems
文献类型：期刊论文
| 作者 | Wu W ; Wang J |
| 刊名 | journal of chemical physics
 |
| 出版日期 | 2013 |
| 卷号 | 139期号:12页码:文献号: 121920 |
| 关键词 | REACTION-DIFFUSION SYSTEMS GINZBURG-LANDAU EQUATION STATIONARY PROBABILITY-DISTRIBUTIONS STEADY-STATE THERMODYNAMICS FITZHUGH-NAGUMO MODEL CRITICAL SLOWING-DOWN FOKKER-PLANCK MODELS WEAK-NOISE LIMIT RENORMALIZATION-GROUP MASTER EQUATION |
| ISSN号 | 0021-9606 |
| 通讯作者 | wu w |
| 中文摘要 | we established a potential and flux field landscape theory to quantify the global stability and dynamics of general spatially dependent non-equilibrium deterministic and stochastic systems. we extended our potential and flux landscape theory for spatially independent non-equilibrium stochastic systems described by fokker-planck equations to spatially dependent stochastic systems governed by general functional fokker-planck equations as well as functional kramers-moyal equations derived from master equations. our general theory is applied to reaction-diffusion systems. for equilibrium spatially dependent systems with detailed balance, the potential field landscape alone, defined in terms of the steady state probability distribution functional, determines the global stability and dynamics of the system. the global stability of the system is closely related to the topography of the potential field landscape in terms of the basins of attraction and barrier heights in the field configuration state space. the effective driving force of the system is generated by the functional gradient of the potential field alone. for non-equilibrium spatially dependent systems, the curl probability flux field is indispensable in breaking detailed balance and creating non-equilibrium condition for the system. a complete characterization of the non-equilibrium dynamics of the spatially dependent system requires both the potential field and the curl probability flux field. while the non-equilibrium potential field landscape attracts the system down along the functional gradient similar to an electron moving in an electric field, the non-equilibrium flux field drives the system in a curly way similar to an electron moving in a magnetic field. in the small fluctuation limit, the intrinsic potential field as the small fluctuation limit of the potential field for spatially dependent non-equilibrium systems, which is closely related to the steady state probability distribution functional, is found to be a lyapunov functional of the deterministic spatially dependent system. therefore, the intrinsic potential landscape can characterize the global stability of the deterministic system. the relative entropy functional of the stochastic spatially dependent non-equilibrium system is found to be the lyapunov functional of the stochastic dynamics of the system. therefore, the relative entropy functional quantifies the global stability of the stochastic system with finite fluctuations. our theory offers an alternative general approach to other field-theoretic techniques, to study the global stability and dynamics of spatially dependent non-equilibrium field systems. it can be applied to many physical, chemical, and biological spatially dependent non-equilibrium systems. (c) 2013 aip publishing llc. |
| 收录类别 | SCI收录期刊论文 |
| 语种 | 英语 |
| WOS记录号 | WOS:000325392000023 |
| 公开日期 | 2014-04-15 |
| 源URL | [http://ir.ciac.jl.cn/handle/322003/49594]  |
| 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 | Wu W,Wang J. Potential and flux field landscape theory. I. Global stability and dynamics of spatially dependent non-equilibrium systems[J]. journal of chemical physics,2013,139(12):文献号: 121920. |
| APA | Wu W,&Wang J.(2013).Potential and flux field landscape theory. I. Global stability and dynamics of spatially dependent non-equilibrium systems.journal of chemical physics,139(12),文献号: 121920. |
| MLA | Wu W,et al."Potential and flux field landscape theory. I. Global stability and dynamics of spatially dependent non-equilibrium systems".journal of chemical physics 139.12(2013):文献号: 121920. |
入库方式： OAI收割
来源：长春应用化学研究所
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