Existence of Two-Step Replica Symmetry Breaking for the Spherical Mixed p-Spin Glass at Zero Temperature
Sign Up to like & getrecommendations! Published in 2018 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-018-3252-3
Abstract: We provide the first examples of two-step replica symmetry breaking (2-RSB) models for the spherical mixed p-spin glass at zero temperature. Precisely, we show that for a certain class of mixtures, the Parisi measure at… read more here.
Keywords: temperature; two step; step replica; replica symmetry ... See more keywords
Annealing and Replica-Symmetry in Deep Boltzmann Machines
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-020-02495-2
Abstract: In this paper we study the properties of the quenched pressure of a multi-layer spin-glass model (a deep Boltzmann Machine in artificial intelligence jargon) whose pairwise interactions are allowed between spins lying in adjacent layers… read more here.
Keywords: annealing replica; layer; replica symmetry; quenched pressure ... See more keywords
The effects of the one-step replica symmetry breaking on the Sherrington–Kirkpatrick spin glass model in the presence of random field with a joint Gaussian probability density function for the exchange interactions and random fields
Sign Up to like & getrecommendations! Published in 2018 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2018.02.177
Abstract: Abstract The Sherrington–Kirkpatrick Ising spin glass model, in the presence of a random magnetic field, is investigated within the framework of the one-step replica symmetry breaking. The two random variables (exchange integral interaction J i… read more here.
Keywords: density function; joint gaussian; gaussian probability; spin glass ... See more keywords
Observation of replica symmetry breaking in disordered nonlinear wave propagation
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DOI: 10.1038/s41467-017-01612-2
Abstract: A landmark of statistical mechanics, spin-glass theory describes critical phenomena in disordered systems that range from condensed matter to biophysics and social dynamics. The most fascinating concept is the breaking of replica symmetry: identical copies… read more here.
Keywords: replica symmetry; symmetry breaking; symmetry; wave propagation ... See more keywords
Simultaneous evaluation of intermittency effects, replica symmetry breaking and modes dynamics correlations in a Nd:YAG random laser
Sign Up to like & getrecommendations! Published in 2022 at "Scientific Reports"
DOI: 10.1038/s41598-022-05090-5
Abstract: Random lasers (RLs) are remarkable experimental platforms to advance the understanding of complex systems phenomena, such as the replica-symmetry-breaking (RSB) spin glass phase, dynamics modes correlations, and turbulence. Here we study these three phenomena jointly… read more here.
Keywords: symmetry breaking; simultaneous evaluation; replica symmetry; evaluation intermittency ... See more keywords
Possible instability of one-step replica symmetry breaking in p-spin Ising models outside mean-field theory.
Sign Up to like & getrecommendations! Published in 2020 at "Physical review. E"
DOI: 10.1103/physreve.101.032127
Abstract: The fully connected Ising p-spin model has for p>2 a discontinuous phase transition from the paramagnetic phase to a stable state with one-step replica symmetry breaking (1RSB). However, simulations in three dimension do not look… read more here.
Keywords: replica symmetry; symmetry breaking; spin; step replica ... See more keywords
Comment on "Replica Symmetry Breaking in Trajectories of a Driven Brownian Particle".
Sign Up to like & getrecommendations! Published in 2018 at "Physical review letters"
DOI: 10.1103/physrevlett.121.128901
Abstract: We comment on a Letter [Phys. Rev. Lett. 115, 080605 (2015), arXiv:1411.1816] "Replica symmetry breaking in trajectories of a driven Brownian particle" and author reply [arXiv:1805.10474] read more here.
Keywords: breaking trajectories; trajectories driven; replica symmetry; symmetry breaking ... See more keywords
Full replica symmetry breaking in p-spin-glass-like systems
Sign Up to like & getrecommendations! Published in 2017 at "JETP Letters"
DOI: 10.1134/s0021364017040051
Abstract: It is shown that continuously changing the effective number of interacting particles in p-spin-glass-like model allows describing the transition from the full replica symmetry breaking glass solution to stable first replica symmetry breaking glass solution… read more here.
Keywords: spin glass; replica symmetry; glass like; symmetry breaking ... See more keywords