Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Energy and entropy on irreversible chemical reaction-diffusion systems
  with asymptotic stability   In the framework of irreversible thermodynamics, we study autonomous systems
of reaction-diffusion equations to show how the entropy and free energy of an
open and irreversible reactor depend on concentrations. To do this, we find a
Lyapunov function that depends directly on the eigenvalues and eigenvectors of
the linearized problem valid for linear and asymptotically stable systems. By
suggesting the role of this Lyapunov function as internal free energy, we were
able to reflect the properties of the dynamical system directly into the second
law of thermodynamics making a redefinition of the chemical potentials. We
demonstrate the consistency of our hypotheses with basic thermodynamic
principles such as the proportionality between flows and forces proposed by
Onsager, the spectral decomposition of entropy production and the
Glansdorff-Prigogine evolution criterion of a thermodynamic system.

3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ