arXiv Open Access 2025

Brownian-motion approach to statistical mechanics: Langevin equations, fluctuations, and timescales

Sushanta Dattagupta Aritra Ghosh

Lihat Sumber

Abstrak

We briefly review the problem of Brownian motion and describe some intriguing facets. The problem is first treated in its original form as enunciated by Einstein, Langevin, and others. Then, utilizing the problem of Brownian motion as a paradigm and upon using the Langevin equation(s), we present a brief exposition of the modern areas of stochastic thermodynamics and fluctuation theorems in a manner accessible to a non-expert. This is followed by an analysis of non-Markovian Brownian dynamics via generalized Langevin equation(s) in which we particularly shed light onto its derivation, the emergence of the fluctuation-dissipation relation, and the recently-discovered effective-mass framework.

Topik & Kata Kunci

cond-mat.stat-mech cond-mat.mes-hall physics.chem-ph physics.class-ph

Penulis (2)

Sushanta Dattagupta

Aritra Ghosh

Format Sitasi

APA MLA BibTeX

Dattagupta, S., Ghosh, A. (2025). Brownian-motion approach to statistical mechanics: Langevin equations, fluctuations, and timescales. https://arxiv.org/abs/2503.01044

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓