Entropy, free energy and phase transitions in the lattice Lotka-Volterra model
Journal Article
·
· Journal of Experimental and Theoretical Physics
- Institute of Physical Chemistry National Center for Scientific Research Demokritos (Greece)
A thermodynamic approach is developed for reactive dynamic models restricted to substrates of arbitrary dimensions, including fractal substrates. The thermodynamic formalism is successfully applied to the lattice Lotka-Volterra (LLV) model of autocatalytic reactions on various lattice substrates. Different regimes of reactions described as phases, and phase transitions, are obtained using this approach. The predictions of thermodynamic theory confirm extensive numerical kinetic Monte Carlo simulations on square and fractal lattices. Extensions of the formalism to multispecies LLV models are also presented.
- OSTI ID:
- 21067626
- Journal Information:
- Journal of Experimental and Theoretical Physics, Journal Name: Journal of Experimental and Theoretical Physics Journal Issue: 4 Vol. 103; ISSN JTPHES; ISSN 1063-7761
- Country of Publication:
- United States
- Language:
- English
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