Thermodynamic transition associated with irregularly ordered ground states in a lattice gas model

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.

12 pages, 7 figures. A slightly revised version with adding one reference (ver. 2). The version 3, in which the presentation has been revised, has been published in J. Phys. A

References in corpus (1)

• Caging and mosaic lengthscales in plaquette spin models of glasses

Cited by in corpus (8)

• Fractal Symmetric Phases of Matter
• Random pinning in glassy spin models with plaquette interactions
• Overlap and activity glass transitions in plaquette spin models with hierarchical dynamics
• The melting of stable glasses is governed by nucleation-and-growth dynamics
• Transition in coupled replicas may not imply a finite temperature ideal glass transition in glass forming systems
• Role of fluctuations in the phase transitions of coupled plaquette spin models of glasses
• Boundary conditions dependence of the phase transition in the quantum Newman-Moore model
• Statistical mechanics of glass transition in lattice molecule models