Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Notes on Brownian motion and related phenomena   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.

19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th