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Plaquette models are short range ferromagnetic spin models that play a key role in the dynamic facilitation approach to the liquid glass transition. In this paper we study the dynamics of the square plaquette model at the smallest of the…

Probability · Mathematics 2019-11-01 Paul Chleboun , Aaron Smith

Plaquette models are short range ferromagnetic spin models that play a key role in the dynamic facilitation approach to the liquid glass transition. In this paper we perform a rigorous study of the thermodynamic properties of two…

Mathematical Physics · Physics 2017-10-25 P. Chleboun , A. Faggionato , F. Martinelli , C. Toninelli

We study a three-dimensional plaquette spin model whose low temperature dynamics is glassy, due to localised defects and effective kinetic constraints. While the thermodynamics of this system is smooth at all temperatures, we show that…

Statistical Mechanics · Physics 2016-02-10 Robert L. Jack , Juan P. Garrahan

We study the role of fluctuations on the thermodynamic glassy properties of plaquette spin models, more specifically on the transition involving an overlap order parameter in the presence of an attractive coupling between different replicas…

Statistical Mechanics · Physics 2018-04-20 Giulio Biroli , Charlotte Rulquin , Gilles Tarjus , Marco Tarzia

We study how the thermodynamic properties of the Triangular Plaquette Model (TPM) are influenced by the addition of extra interactions. The thermodynamics of the original TPM is trivial, while its dynamics is glassy, as usual in Kinetically…

Disordered Systems and Neural Networks · Physics 2016-03-23 Silvio Franz , Giacomo Gradenigo , Stefano Spigler

It has been demonstrated recently that supercooled liquids sharing simple structural features (e.g. pair distribution functions) may exhibit strikingly distinct dynamical behavior. Here we show that a more subtle structural feature…

Statistical Mechanics · Physics 2012-06-04 Glen M. Hocky , Thomas E. Markland , David R. Reichman

Using Monte Carlo simulations we study the dynamics of three-dimensional Ising models with nearest-, next-nearest-, and four-spin (plaquette) interactions. During coarsening, such models develop growing energy barriers, which leads to very…

Statistical Mechanics · Physics 2009-10-31 A. Lipowski , D. Johnston , D. Espriu

We consider thermodynamic and dynamic phase transitions in plaquette spin models of glasses. The thermodynamic transitions involve coupled (annealed) replicas of the model. We map these coupled-replica systems to a single replica in a…

Statistical Mechanics · Physics 2015-08-19 Robert M. Turner , Robert L. Jack , Juan P. Garrahan

We study static and dynamic spatial correlations in a two-dimensional spin model with four-body plaquette interactions and standard Glauber dynamics by means of analytic arguments and Monte Carlo simulations. We study in detail the…

Statistical Mechanics · Physics 2009-11-11 Robert L. Jack , Ludovic Berthier , Juan P. Garrahan

Facilitated spin models on random graphs provide an ideal microscopic realization of the mode-coupling theory of supercooled liquids: they undergo a purely dynamic glass transition with no thermodynamic singularity. In this paper we study…

Statistical Mechanics · Physics 2015-06-11 Silvio Franz , Mauro Sellitto

We consider two systems of Ising spins with plaquette interactions. They are simple models of glasses which have dual representations as kinetically constrained systems. These models allow an explicit analysis using the mosaic, or entropic…

Statistical Mechanics · Physics 2007-05-23 Robert L. Jack , Juan. P. Garrahan

To understand the non-equilibrium relaxation dynamics of a liquid droplet on a switchable substrate the interplay of different length- and time-scales needs to be understood. We present a method to map the microscopic information, resulting…

Fluid Dynamics · Physics 2022-08-01 Moritz Stieneker , Leon Topp , Svetlana Gurevich , Andreas Heuer

We study by Monte Carlo simulations and scaling analysis two models of pairs of confined and dense ring polymers in two dimensions. The pair of ring polymers are modelled by squared lattice polygons confined within a square cavity and they…

Soft Condensed Matter · Physics 2022-01-05 EJ Janse van Rensburg , E Orlandini

The XY-plaquette model is the most straightforward lattice realization of a broad class of fractonic field theories that host quasiparticles with restricted mobility. The plaquette interaction appears naturally as a ring-exchange term in…

High Energy Physics - Lattice · Physics 2025-06-23 A. M. Begun , M. N. Chernodub , V. A. Goy , A. V. Molochkov

We examine a length scale that characterizes the spatial extent of heterogeneous dynamics in a glass-forming binary hard-sphere mixture up to the mode-coupling volume fraction phi_c. First, we characterize the system's dynamics. Then, we…

Soft Condensed Matter · Physics 2015-05-27 Elijah Flenner , Min Zhang , Grzegorz Szamel

We use multi-speckle diffusive wave spectroscopy (MSDWS) to probe the micron-scale dynamics of a granular pile submitted to discrete gentle taps. The typical time-scale between plastic events is found to increase dramatically with the…

Soft Condensed Matter · Physics 2009-11-10 Alexandre Kabla , Georges Debregeas

Experiments measuring contact formation between a probe and quencher in disordered chains provide information on the fundamental dynamical timescales relevant to protein folding, but their interpretation usually relies on simplified…

Soft Condensed Matter · Physics 2016-02-17 Gul Zerze , Jeetain Mittal , Robert B. Best

Random matrix theory, particularly using matrices akin to the Wishart ensemble, has proven successful in elucidating the thermodynamic characteristics of critical behavior in spin systems across varying interaction ranges. This paper…

Statistical Mechanics · Physics 2024-04-04 Eliseu Venites Filho , Roberto da Silva , José Roberto Drugowich de Felício

We present simulations of stochastic fluid dynamics in the vicinity of a critical endpoint belonging to the universality class of the Ising model. This study is motivated by the challenge of modeling the dynamics of critical fluctuations…

Nuclear Theory · Physics 2024-07-23 Chandrodoy Chattopadhyay , Josh Ott , Thomas Schaefer , Vladimir V. Skokov

Previously, we developed a minimal model based on random cooperative strings for the relaxation of supercooled liquids in the bulk and near free interfaces, and we recovered some key experimental observations. In this article, after…

Disordered Systems and Neural Networks · Physics 2020-03-25 Maxence Arutkin , Elie Raphaël , James Forrest , Thomas Salez
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