Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonequilibrium thermodynamics of glycolytic traveling wave:
  Benjamin-Feir instability   Evolution of the nonequilibrium thermodynamic entities corresponding to
dynamics of the Hopf instabilities and traveling waves at a nonequilibrium
steady state of a spatially extended glycolysis model is assessed here by
implementing an analytically tractable scheme incorporating a complex
Ginzburg-Landau equation (CGLE). In the presence of self and cross diffusion, a
more general amplitude equation exploiting the multiscale Krylov-Bogoliubov
averaging method serves as an essential tool to reveal the various dynamical
instability criteria, especially Benjamin-Feir (BF) instability, to estimate
the corresponding nonlinear dispersion relation of the traveling wave pattern.
The critical control parameter, wave-number selection criteria, and magnitude
of the complex amplitude for traveling waves are modified by self- and
cross-diffusion coefficients within the oscillatory regime, and their
variabilities are exhibited against the amplitude equation. Unlike the
traveling waves, a low-amplitude broad region appears for the Hopf instability
in the concentration dynamics as the system phase passes through minima during
its variation with the control parameter. The total entropy production rate of
the uniform Hopf oscillation and glycolysis wave not only qualitatively
reflects the global dynamics of concentrations of intermediate species but
almost quantitatively. Despite the crucial role of diffusion in generating and
shaping the traveling waves, the diffusive part of the entropy production rate
has a negligible contribution to the system's total entropy production rate.
The Hopf instability shows a more complex and colossal change in the energy
profile of the open nonlinear system than in the traveling waves. A detailed
analysis of BF instability shows a contrary nature of the semigrand Gibbs free
energy with discrete and continuous wave numbers for the traveling wave.

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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: math
11
The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: hep-ex