Numerical realization of a two-dimensional potential energy surface with randomly distributed Gaussian roughness

Pengchen Zhao, Chunyang Wang, Zengxuan Zhao, Junhua Li, Joelous Malamula Nyasulu, Mushtaq Rana Imran and Chunlei Xia

Physica A: Statistical Mechanics and its Applications, 2025, vol. 678, issue C

Abstract: 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.

Keywords: Gaussian roughness; Random potential energy surface (PES); Brownian motion; Monte Carlo simulation; Diffusion dynamics; Numerical construction (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:678:y:2025:i:c:s0378437125006028

DOI: 10.1016/j.physa.2025.130950

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