Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit exponential convergence to equilibrium for nonlinear
  reaction-diffusion systems with detailed balance condition   The convergence to equilibrium of mass action reaction-diffusion systems
arising from networks of chemical reactions is studied. The considered reaction
networks are assumed to satisfy the detailed balance condition and have no
boundary equilibria. We propose a general approach based on the so-called
entropy method, which is able to quantify with explicitly computable rates the
decay of an entropy functional in terms of an entropy entropy-dissipation
inequality based on the totality of the conservation laws of the system.
  As a consequence follows convergence to the unique detailed balance
equilibrium with explicitly computable convergence rates. The general approach
is further detailed for two important example systems: a single reversible
reaction involving an arbitrary number of chemical substances and a chain of
two reversible reactions arising from enzyme reactions.

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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
30
The categories of this paper are: q-alg