Thermodynamic transition associated with irregularly ordered ground states in a lattice gas model
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Publication:3058612
DOI10.1088/1751-8113/43/46/465002zbMath1203.82036arXiv1006.4972OpenAlexW3105433011MaRDI QIDQ3058612
Publication date: 3 December 2010
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Abstract: A two-dimensional lattice gas model is proposed. The ground state of this model with a fixed density is neither periodic nor quasi-periodic. It also depends on system size in an irregular manner. On the other hand, it is ordered in the sense that the entropy density is zero in the thermodynamic limit. The existence of a thermodynamic transition associated with such irregularly ordered ground states is conjectured from a duality relation for a thermodynamic function. This conjecture is supported by a phenomenological argument and numerical experiments.
Full work available at URL: https://arxiv.org/abs/1006.4972
Phase transitions (general) in equilibrium statistical mechanics (82B26) Cellular automata (computational aspects) (68Q80) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
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