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Related papers: Comment on "The Glassy Potts Model"

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From the dynamics of a broad class of classical mean-field glass models one may obtain a quantum model with finite zero-temperature entropy, a quantum transition at zero temperature, and a time-reparametrization (quasi-)invariance in the…

High Energy Physics - Theory · Physics 2019-12-05 Davide Facoetti , Giulio Biroli , Jorge Kurchan , David R. Reichman

In Phys. Rev. Lett. 110, 219701 (2013) [arXiv:1211.0843] Billoire et al. criticize the conclusions of our Letter [Phys. Rev. Lett. 109, 177204 (2012), arxiv:1206.0783]. They argue that considering the Edwards-Anderson and…

Disordered Systems and Neural Networks · Physics 2013-05-27 B. Yucesoy , Helmut G. Katzgraber , J. Machta

In this note we present numerical simulations of binary mixtures and we find indications for a thermodynamic transition to a glassy phase. We find that below the transition point the off equilibrium correlation functions and response…

Disordered Systems and Neural Networks · Physics 2009-10-30 Giorgio Parisi

A Monte Carlo simulation is performed in a cubic lattice of interacting identical Stoner-Woldfarth nanoparticles. The model system is a randomly-anisotropic Heisenberg spin system with a small anisotropy-to-exchange ratio D/J = 3.5. The dc…

Statistical Mechanics · Physics 2009-03-10 Ha M. Nguyen , Pai-Yi Hsiao

Detailed account is given of the chirality scenario of experimental spin-glass transitions. In this scenario, the spin glass order of weakly anisotropic Heisenberg-like spin-glass magnets including canonical spin glasses are essentially…

Disordered Systems and Neural Networks · Physics 2015-05-13 Hikaru Kawamura

We investigate the classical chiral Ashkin-Teller model on a square lattice with the corner transfer matrix renormalisation group (CTMRG) algorithm. We show that the melting of the period-4 phase in the presence of a chiral perturbation…

Statistical Mechanics · Physics 2022-03-08 Samuel Nyckees , Frédéric Mila

The critical properties of the mixed ferro/antiferromagnetic q-state Potts model on the square lattice are investigated using the numerical transfer matrix technique. The transition temperature is found to be substantially lower than…

Statistical Mechanics · Physics 2007-05-23 D P Foster , C Gerard

The Gilroy-Phillips model of relaxational jumps in asymmetric double-well potentials, developed for the Arrhenius-type secondary relaxations of the glass phase, is extended to a formal description of the breakdown of the shear modulus at…

Disordered Systems and Neural Networks · Physics 2007-05-23 U. Buchenau

We propose that glass-forming liquids are intrinsically under the influences of both fluctuating interactions and random fields well-known in the field of spin systems. This is due to the frustration between the isotropic and anisotropic…

Disordered Systems and Neural Networks · Physics 2009-10-30 Hajime Tanaka

We consider a Potts model diluted by fully frustrated Ising spins. The model corresponds to a fully frustrated Potts model with variables having an integer absolute value and a sign. This model presents precursor phenomena of a glass…

Statistical Mechanics · Physics 2009-10-31 Giancarlo Franzese

The high temperature phase of the three dimensional random field Ising model is studied using replica symmetry breaking framework. It is found that, above the ferromagnetic transition temperature T_f, there appears a glassy phase at…

Condensed Matter · Physics 2009-10-22 M. Mezard , R. Monasson

This is a comment on the recent letter by Jack and Garrahan on "Phase transition for quenched coupled replicas in a plaquette spin model of glasses".

Statistical Mechanics · Physics 2015-12-16 Giulio Biroli , Gilles Tarjus , Marco Tarzia

Mean field glassy systems have a complicated energy landscape and an enormous number of different Gibbs states. In this paper, we introduce a generalization of the cavity method in order to describe the adiabatic evolution of these glassy…

Disordered Systems and Neural Networks · Physics 2010-06-16 Lenka Zdeborová , Florent Krzakala

We use Monte Carlo simulations to study the one-dimensional long-range diluted Heisenberg spin glass with interactions that fall as a power, sigma, of the distance. Varying the power is argued to be equivalent to varying the space dimension…

Disordered Systems and Neural Networks · Physics 2013-05-29 Auditya Sharma , A. P. Young

We investigate the three-state antiferromagnetic Potts model on a simple cubic lattice with a cluster flipping Monte Carlo simulation algorithm in the temperature region below the transition into disorder at T_{c1}. We find both the well…

Condensed Matter · Physics 2009-10-28 Ralf K. Heilmann , Jian-Sheng Wang , Robert H. Swendsen

For one flavour, we observe that standard chiral random matrix models are schematic variants of the Nambu-Jona-Lasinio (NJL) models whether in vacuum or matter. The ensuing thermodynamics is that of constituent quarks, with mean-field…

High Energy Physics - Phenomenology · Physics 2009-10-28 Romuald Janik , Maciek Nowak , Ismail Zahed

The starting point of the present work is the observation of possible analogies, both at the phenomenological and at the methodological level, between the subcritical transition to turbulence and the glass transition. Having recalled the…

Fluid Dynamics · Physics 2014-06-17 Olivier Dauchot , Eric Bertin

The Ising spin glass model in a transverse field has a zero temperature phase transition driven solely by quantum fluctuations. This quantum phase transition occuring at a critical transverse field strength has attracted much attention…

Condensed Matter · Physics 2007-05-23 Heiko Rieger , A. Peter Young

Glassy dynamics in a confluent monolayer is indispensable in morphogenesis, wound healing, bronchial asthma, and many others; a detailed theoretical framework for such a system is, therefore, important. Vertex model (VM) simulations have…

Soft Condensed Matter · Physics 2021-06-16 Souvik Sadhukhan , Saroj Kumar Nandi

In a recent paper we introduced two Potts-like models in three dimensions, which share the following properties: (A) One of the ice rules is always fulfilled (in particular also at infinite temperature). (B) Both ice rules hold for…

Statistical Mechanics · Physics 2009-11-13 Chizuru Muguruma , Yuko Okamoto , Bernd A. Berg