dorsal/arxiv
View SchemaNotes on Brownian motion and related phenomena
| Authors | Deb Shankar Ray |
|---|---|
| Categories | |
| ArXiv ID | physics/9903033 |
| URL | https://arxiv.org/abs/physics/9903033 |
Abstract
In this article we explore the phenomena of nonequilibrium stochastic process starting from the phenomenological Brownian motion. The essential points are described in terms of Einstein's theory of Brownian motion and then the theory extended to Langevin and Fokker-Planck formalism. Then the theory is applied to barrier crossing dynamics, popularly known as Kramers' theory of activated rate processes. The various regimes are discussed extensively and Smoluchowski equation is derived as a special case. Then we discuss some of the aspects of Master equation and two of its applications.
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"abstract": "In this article we explore the phenomena of nonequilibrium stochastic process\nstarting from the phenomenological Brownian motion. The essential points are\ndescribed in terms of Einstein\u0027s theory of Brownian motion and then the theory\nextended to Langevin and Fokker-Planck formalism. Then the theory is applied to\nbarrier crossing dynamics, popularly known as Kramers\u0027 theory of activated rate\nprocesses. The various regimes are discussed extensively and Smoluchowski\nequation is derived as a special case. Then we discuss some of the aspects of\nMaster equation and two of its applications.",
"arxiv_id": "physics/9903033",
"authors": [
"Deb Shankar Ray"
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"title": "Notes on Brownian motion and related phenomena",
"url": "https://arxiv.org/abs/physics/9903033"
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