Amorphous-amorphous transition and the two-step replica symmetry breaking phase

Abstract

The nature of polyamorphism and amorphous-to-amorphous transition is investigated by means of an exactly solvable model with quenched disorder, the spherical s+p multi-spin interaction model. The analysis is carried out in the framework of Replica Symmetry Breaking theory and leads to the identification of low temperature glass phases of different kinds. Besides the usual `one-step' solution, known to reproduce all basic properties of structural glasses, also a physically consistent `two-step' solution arises. More complicated phases are found as well, as temperature is further decreased, expressing a complex variety of metastable states structures for amorphous systems.

8 pages, 7 figures, longer version, new references added

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Cited by in corpus (26)

• On the critical slowing down exponents of mode coupling theory
• Replica-symmetry-breaking transitions and off-equilibrium dynamics
• Statistical mechanics of a single particle in a multiscale random potential: Parisi landscapes in finite dimensional Euclidean spaces
• Low Temperature Asymptotics in Spherical Mean Field Spin Glasses
• Cusps and shocks in the renormalized potential of glassy random manifolds: How Functional Renormalization Group and Replica Symmetry Breaking fit together
• Classical Glasses, Black Holes, and Strange Quantum Liquids
• On the two-steps relaxation of mean-field glasses: p-spin model
• Replica Fourier Transform: Properties and Applications
• Equilibrium Fluctuations in Mean-field Disordered Models
• Statistical mechanical approach to secondary processes and structural relaxation in glasses and glass formers
• Exactly solvable spin-glass models with ferromagnetic couplings: the spherical multi-$p$-spin model in a self-induced field
• Bounding the Complexity of Replica Symmetry Breaking for Spherical Spin Glasses
• The mode-coupling glass transition in a fluid confined by a periodic potential
• Following states in temperature in the spherical s+p-spin glass model
• Full versus first stage replica symmetry breaking in spin glasses
• Replica analysis of the generalized p-spin interaction glass model
• Stability of the Parisi Solution for the Sherrington-Kirkpatrick model near T=0
• Critical slowing down exponents in quenched disordered spin models for structural glasses: Random Orthogonal and related models
• A simple spin model for three steps relaxation and secondary proccesses in glass formers
• Multiple glass transitions and higher order replica symmetry breaking of binary mixtures
• Continuous and discontinuous transitions in generalized p-spin glass models
• Generalized Sherrington--Kirkpatrick-glass without reflection symmetry
• Replica-symmetry breaking transitions in the large deviations of the ground-state of a spherical spin-glass
• Static and dynamic glass-glass transitions: a mean-field study
• The decoupling of the glass transitions in the two-component $p$-spin spherical model
• Dynamic message-passing approach for kinetic spin models with reversible dynamics