Glassy transition and metastability in four-spin Ising model

Abstract

Using Monte Carlo simulations we show that the three-dimensional Ising model with four-spin (plaquette) interactions has some characteristic glassy features. The model dynamically generates diverging energy barriers, which give rise to slow dynamics at low temperature. Moreover, in a certain temperature range the model possesses a metastable (supercooled liquid) phase, which is presumably supported by certain entropy barriers. Although extremely strong, metastability in our model is only a finite-size effect and sufficiently large droplets of stable phase divert evolution of the system toward the stable phase. Thus, the glassy transitions in this model is a dynamic transition, preceded by a pronounced peak in the specific heat.

extensively revised, with further simulations of metastability properties, response to referees tactfully removed

References in corpus (2)

• Evidence for a first order transition in a plaquette 3d Ising-like action
• The Phase Diagram of the Gonihedric 3d Ising Model via CVM

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• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
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• Glass and polycrystal states in a lattice spin model
• Non-Standard Finite-Size Scaling at First-Order Phase Transitions
• Statistical physics of nonlinear wave interaction
• Anomalous coarsening and glassy dynamics
• Role of fluctuations in the phase transitions of coupled plaquette spin models of glasses
• Gonihedric (and Fuki-Nuke) Order
• Crystal vs glass formation in lattice models with many coexisting ordered phases
• Multicanonical analysis of the plaquette-only gonihedric Ising model and its dual
• Multi-criticality of the three-dimensional Ising model with plaquette interactions: An extension of Novotny's transfer-matrix formalism
• Dynamics of the two-dimensional gonihedric spin model
• Exact solutions to plaquette Ising models with free and periodic boundaries
• Heterogeneous slow dynamics in a two dimensional doped classical antiferromagnet
• Crystallization of a supercooled liquid and of a glass - Ising model approach
• Non-equilibrium structures and slow dynamics in a two dimensional spin system with competitive long range and short range interactions
• The Dual Gonihedric 3D Ising Model
• The Gonihedric Paradigm Extensions of the Ising Model
• Planar ordering in the plaquette-only gonihedric Ising model
• The Random-Diluted Triangular Plaquette Model: study of phase transitions in a Kinetically Constrained Model
• (Four) Dual Plaquette 3D Ising Models