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The spin-glass transition in external magnetic field is studied both in and out of the limit of validity of mean-field theory on a diluted one dimensional chain of Ising spins where exchange bonds occur with a probability decaying as the…

Disordered Systems and Neural Networks · Physics 2013-05-29 L Leuzzi , G. Parisi , F. Ricci-Tersenghi , J. J. Ruiz-Lorenzo

The high-order behavior of the perturbation expansion in the cubic replica field theory of spin glasses in the paramagnetic phase has been investigated. The study starts with the zero-dimensional version of the replica field theory and this…

Disordered Systems and Neural Networks · Physics 2009-11-11 J. Yeo , M. A. Moore , T. Aspelmeier

Glasses are ubiquitous in daily life and technology. However the microscopic mechanisms generating this state of matter remain subject to debate: Glasses are considered either as merely hyper-viscous liquids or as resulting from a genuine…

Disordered Systems and Neural Networks · Physics 2016-06-14 S. Albert , Th. Bauer , M. Michl , G. Biroli , J. -P. Bouchaud , A. Loidl , P. Lunkenheimer , R. Tourbot , C. Wiertel-Gasquet , F. Ladieu

The p-spin spin-glass model has been studied extensively at mean-field level because of the insights which it provides into the mode-coupling approach to structural glasses and the nature of the glass transition. We demonstrate explicitly…

Disordered Systems and Neural Networks · Physics 2009-11-07 M. A. Moore , Barbara Drossel

We study the transition of short range Ising spin glasses in a magnetic field, within a general replica symmetric field theory, which contains three masses and eight cubic couplings, that is defined in terms of the fields representing the…

Disordered Systems and Neural Networks · Physics 2016-08-31 I. R. Pimentel , T. Temesvari , C. De Dominicis

The aim of this work is to prove that it is possible to realise an optical system which produces as output a light intensity that can be expressed in the same mathematical form of the spin glass Hamiltonian. The optical system under study…

Disordered Systems and Neural Networks · Physics 2020-10-27 Erik Hörmann

The critical behavior of a family of fully connected mean-field models with quenched disorder, the $M-p$ Ising spin glass, is analyzed, displaying a crossover between a continuous and a random first order phase transition as a control…

Disordered Systems and Neural Networks · Physics 2015-05-20 F. Caltagirone , U. Ferrari , L. Leuzzi , G. Parisi , T. Rizzo

Motivated by the concept of geometrical frustration, we introduce a class of statistical mechanics lattice models for the glass transition. Monte Carlo simulations in three dimensions show that they display a dynamical glass transition…

Statistical Mechanics · Physics 2009-11-07 Giulio Biroli , Marc Mezard

We present results of numerical simulations on a one-dimensional Ising spin glass with long-range interactions. Parameters of the model are chosen such that it is a proxy for a short-range spin glass above the upper critical dimension (i.e.…

Disordered Systems and Neural Networks · Physics 2016-02-17 Matthew Wittmann , A. P. Young

In this letter we show how to perform a systematic perturbative approach for the mode-coupling theory. The results coincide with those obtained via the replica approach. The upper critical dimension turns out to be always 8 and the…

Disordered Systems and Neural Networks · Physics 2010-01-13 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

Topological defects are typically quantified relative to ordered backgrounds. The importance of these defects to the understanding of physical phenomena including diverse equilibrium melting transitions from low temperature ordered to…

Statistical Mechanics · Physics 2019-02-19 Z. Nussinov , N. B. Weingartner , F. S. Nogueira

Lattice molecule models are proposed in order to study statistical mechanics of glass transition in finite dimensions. Molecules in the models are represented by hard Wang tiles and their density is controlled by a chemical potential. An…

Statistical Mechanics · Physics 2015-05-28 Shin-ichi Sasa

Dilute dipolar systems in three dimensions are expected to undergo a spin glass transition as the temperature decreases. Contrary to this, we find from Wang-Landau Monte Carlo simulations that at low concentrations $x$, dipoles randomly…

Soft Condensed Matter · Physics 2009-11-11 Joseph Snider , Clare C. Yu

Spin glasses are paradigmatic models that deliver concepts relevant for a variety of systems. However, rigorous analytical results are difficult to obtain for spin-glass models, in particular for realistic short-range models. Therefore…

Disordered Systems and Neural Networks · Physics 2008-02-12 Helmut G. Katzgraber

We introduce the transverse Ising model as a prototype for discussing quantum phase transition. Next we introduce Suzuki-Trotter formalism to show the correspondence between $d$-dimensional quantum system with a $(d+1)$-dimensional…

Disordered Systems and Neural Networks · Physics 2007-05-23 Bikas K. Chakrabarti , Arnab Das

Spin-glass and chiral-glass orderings in three-dimensional Heisenberg spin glasses are studied both by equilibrium and off-equilibrium Monte Carlo simulations. Fully isotropic model is found to exhibit a finite-temperature chiral-glass…

Disordered Systems and Neural Networks · Physics 2009-10-31 H. Kawamura , K. Hukushima

We consider the idea of bond ordering as a model for glass transition: a generic covalently bonded liquid may substantially reduce its energy through bond ordering, without undergoing significant structural order. This concept is developed…

Condensed Matter · Physics 2009-10-31 Saeid Davatolhagh , Bruce R. Patton

Amorphous solids are ubiquitous among natural and man-made materials. Often used as structural materials for their attractive mechanical properties, their utility depends critically on their response to applied stresses. Processes…

Disordered Systems and Neural Networks · Physics 2017-04-05 Premkumar Leishangthem , Anshul D. S. Parmar , Srikanth Sastry

We consider the yielding behaviour of a model glass subjected to asymmetric cyclic shear deformation, wherein the applied strain varies between 0 and a maximum value $\gamma_{\rm max}$, and study its dependence on the degree of annealing of…

Soft Condensed Matter · Physics 2022-01-20 Monoj Adhikari , Muhittin Mungan , Srikanth Sastry

Continuous phase transitions are catalogued into universality classes, families of systems having identical values of all the exponents governing the critical behaviour of their different physical properties. Numerical simulations have been…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. O. Mari , I. A. Campbell
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