The jamming transition in high dimension: an analytical study of the TAP equations and the effective thermodynamic potential

DOI10.1088/1742-5468/2016/09/093301zbMath1457.82422arXiv1607.00966OpenAlexW2461546670MaRDI QIDQ3302821

Ada Altieri, Silvio Franz, Giorgio Parisi

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.00966

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)

Related Items (4)

Mean field theory of jamming of nonspherical particles ⋮ Out-of-equilibrium dynamical mean-field equations for the perceptron model ⋮ High-temperature expansions and message passing algorithms ⋮ Surfing on minima of isostatic landscapes: avalanches and unjamming transition

Cites Work

• An iterative construction of solutions of the TAP equations for the Sherrington-Kirkpatrick model
• The simplest model of jamming
• Large deviations of the maximal eigenvalue of random matrices
• Exact theory of dense amorphous hard spheres in high dimension I. The free energy
• Exact theory of dense amorphous hard spheres in high dimension. III. The full replica symmetry breaking solution
• Statics and dynamics of infinite-dimensional liquids and glasses: a parallel and compact derivation
• A mean-field hard-spheres model of glass
• Replica field theory for deterministic models: I. Binary sequences with low autocorrelation
• The space of interactions in neural network models

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