{"title":"具有随机分布高斯粗糙度的二维势能面数值实现","authors":"Pengchen Zhao , Chunyang Wang , Zengxuan Zhao , Junhua Li , Joelous Malamula Nyasulu , Mushtaq Rana Imran , Chunlei Xia","doi":"10.1016/j.physa.2025.130950","DOIUrl":null,"url":null,"abstract":"<div><div>A two-dimensional (2D) potential energy surface (PES) with randomly distributed Gaussian roughness is realized numerically by repeatedly iterating the function of a normal distribution. The process of a Brownian particle diffusing on such a 2D random PES is studied subsequently to check its correctness. Results show that the strategy of the 2D random PES constructing presented in this work is reasonable and correct. The outcome of trajectory tracking of the particle reveals a typical dynamic pattern of standard Brownian motion.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"678 ","pages":"Article 130950"},"PeriodicalIF":3.1000,"publicationDate":"2025-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Numerical realization of a two-dimensional potential energy surface with randomly distributed Gaussian roughness\",\"authors\":\"Pengchen Zhao , Chunyang Wang , Zengxuan Zhao , Junhua Li , Joelous Malamula Nyasulu , Mushtaq Rana Imran , Chunlei Xia\",\"doi\":\"10.1016/j.physa.2025.130950\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>A two-dimensional (2D) potential energy surface (PES) with randomly distributed Gaussian roughness is realized numerically by repeatedly iterating the function of a normal distribution. The process of a Brownian particle diffusing on such a 2D random PES is studied subsequently to check its correctness. Results show that the strategy of the 2D random PES constructing presented in this work is reasonable and correct. The outcome of trajectory tracking of the particle reveals a typical dynamic pattern of standard Brownian motion.</div></div>\",\"PeriodicalId\":20152,\"journal\":{\"name\":\"Physica A: Statistical Mechanics and its Applications\",\"volume\":\"678 \",\"pages\":\"Article 130950\"},\"PeriodicalIF\":3.1000,\"publicationDate\":\"2025-09-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physica A: Statistical Mechanics and its Applications\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0378437125006028\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physica A: Statistical Mechanics and its Applications","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0378437125006028","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Numerical realization of a two-dimensional potential energy surface with randomly distributed Gaussian roughness
A two-dimensional (2D) potential energy surface (PES) with randomly distributed Gaussian roughness is realized numerically by repeatedly iterating the function of a normal distribution. The process of a Brownian particle diffusing on such a 2D random PES is studied subsequently to check its correctness. Results show that the strategy of the 2D random PES constructing presented in this work is reasonable and correct. The outcome of trajectory tracking of the particle reveals a typical dynamic pattern of standard Brownian motion.
期刊介绍:
Physica A: Statistical Mechanics and its Applications
Recognized by the European Physical Society
Physica A publishes research in the field of statistical mechanics and its applications.
Statistical mechanics sets out to explain the behaviour of macroscopic systems by studying the statistical properties of their microscopic constituents.
Applications of the techniques of statistical mechanics are widespread, and include: applications to physical systems such as solids, liquids and gases; applications to chemical and biological systems (colloids, interfaces, complex fluids, polymers and biopolymers, cell physics); and other interdisciplinary applications to for instance biological, economical and sociological systems.