南方科技大学知识苑(SUSTech KC): Standard form of master equations for general non-Markovian jump processes: The Laplace-space embedding framework and asymptotic solution

题名	Standard form of master equations for general non-Markovian jump processes: The Laplace-space embedding framework and asymptotic solution
作者	Kanazawa, Kiyoshi 1; Sornette, Didier 2
通讯作者	Kanazawa, Kiyoshi
发表日期	2024-06-12
DOI	10.1103/PhysRevResearch.6.023270
发表期刊	PHYSICAL REVIEW RESEARCH 影响因子和分区
EISSN	2643-1564
卷号	6 期号:2
摘要	We present a standard form of master equations (MEs) for general one-dimensional non-Markovian (historydependent) jump processes, complemented by an asymptotic solution derived from an expanded system-size approach. The ME is obtained by developing a general Markovian embedding using a suitable set of auxiliary field variables. This Markovian embedding uses a Laplace -convolution operation applied to the velocity trajectory. We introduce an asymptotic method tailored for this ME standard, generalizing the system-size expansion for these jump processes. Under specific stability conditions tied to a single noise source, upon coarse graining, the generalized Langevin equation (GLE) emerges as a universal approximate model for point processes in the weak-coupling limit. This methodology offers a unified analytical tool set for general non-Markovian processes, reinforcing the universal applicability of the GLE founded in microdynamics and the principles of statistical physics.
相关链接	[来源记录]
收录类别	ESCI ; EI
语种	英语
学校署名	其他
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:001247273900003
出版者	AMER PHYSICAL SOC
来源库	Web of Science
引用统计
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/787922
专题	南方科技大学
作者单位	1.Kyoto Univ, Grad Sch Sci, Dept Phys, Kyoto 6068502, Japan 2.Southern Univ Sci & Technol SUSTech, Inst Risk Anal Predict & Management Risks X, Shenzhen 518055, Peoples R China
推荐引用方式 GB/T 7714	Kanazawa, Kiyoshi,Sornette, Didier. Standard form of master equations for general non-Markovian jump processes: The Laplace-space embedding framework and asymptotic solution[J]. PHYSICAL REVIEW RESEARCH,2024,6(2).
APA	Kanazawa, Kiyoshi,&Sornette, Didier.(2024).Standard form of master equations for general non-Markovian jump processes: The Laplace-space embedding framework and asymptotic solution.PHYSICAL REVIEW RESEARCH,6(2).
MLA	Kanazawa, Kiyoshi,et al."Standard form of master equations for general non-Markovian jump processes: The Laplace-space embedding framework and asymptotic solution".PHYSICAL REVIEW RESEARCH 6.2(2024).