Effective diffusion of Brownian motion in spatially quasi-periodic noise
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914267847983104 |
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| author | Yang, Sang Peng, Zhixin |
| author_facet | Yang, Sang Peng, Zhixin |
| contents | The effective diffusion of Brownian particles in periodic potential has been a central topic in nonequilibrium statistical physcis. A classical result is the Lifson formula which provides the effective diffusion constant in periodic potentials. Extending beyong periodicity, our recent work [arXiv:2504.16527] has demonstrated that a modified Lifson expression remains valid for Brownian motion in quasi-periodic potentials. In this work, we extend our previous results by incorporating spatial quasi-periodic noise and examining different stochastic interpretations, $α\in[0,1]$. The proposed framework is simple, computationally efficient, and unifies the treatment of diffusion in both periodic and quasi-periodic systems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_01227 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Effective diffusion of Brownian motion in spatially quasi-periodic noise Yang, Sang Peng, Zhixin Statistical Mechanics The effective diffusion of Brownian particles in periodic potential has been a central topic in nonequilibrium statistical physcis. A classical result is the Lifson formula which provides the effective diffusion constant in periodic potentials. Extending beyong periodicity, our recent work [arXiv:2504.16527] has demonstrated that a modified Lifson expression remains valid for Brownian motion in quasi-periodic potentials. In this work, we extend our previous results by incorporating spatial quasi-periodic noise and examining different stochastic interpretations, $α\in[0,1]$. The proposed framework is simple, computationally efficient, and unifies the treatment of diffusion in both periodic and quasi-periodic systems. |
| title | Effective diffusion of Brownian motion in spatially quasi-periodic noise |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2509.01227 |