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The two-dimensional Ising model with competing short range ferromagnetic interactions and long range antiferromagnetic interactions is perhaps the most simple one containing the minimal microscopic ingredients necessary for an appropriate…

Statistical Mechanics · Physics 2009-07-09 Sergio A. Cannas , Pablo M. Gleiser , Francisco A. Tamarit

The dynamical behavior of a kind of models with hierarchically constrained dynamics is investigated. The models exhibit many properties resembling real structural glasses. In particular, we focus on the study of time-dependent temperature…

Statistical Mechanics · Physics 2009-11-07 A. Prados , J. J. Brey

We study a system with a weak, long-range repulsive Kac-type step-function interaction within the framework of a replicated effective $\phi^4$-theory. The occurrence of extensive configurational entropy, or an exponentially large number of…

Soft Condensed Matter · Physics 2016-08-16 Kok-Kiong Loh , Kyozi Kawasaki , Alan R. Bishop , Turab Lookman , Avadh Saxena , Jörg Schmalian , Zohar Nussinov

We study the non-equilibrium relaxation kinetics of interacting magnetic flux lines in disordered type-II superconductors at low temperatures by means of a three-dimensional elastic line model and Monte Carlo simulations. Investigating the…

Superconductivity · Physics 2011-11-21 Michel Pleimling , Uwe C. Täuber

We analyse metastable states in the East model, using a recently-proposed patch-repetition analysis based on time-averaged density profiles. The results reveal a hierarchy of states of varying lifetimes, consistent with previous studies in…

Statistical Mechanics · Physics 2013-12-16 Robert L. Jack

There is little consensus on the nature of the glass state and its relationship to other strain states in ferroelastic materials which show the shape memory effect and superelasticity. We provide a thermodynamic interpretation of the known…

Materials Science · Physics 2012-12-11 R. Vasseur , D. Xue , Y. Zhou , W. Ettoumi , X. Ding , X. Ren , T. Lookman

In this article we study a simple spin model which has a non-interacting Hamiltonian but constrained dynamics. The model, which is a simplification of a purely toplogical cellular model, displays glassy behaviour, involves activated…

Disordered Systems and Neural Networks · Physics 2009-11-07 Lexie Davison , David Sherrington , Juan P. Garrahan , Arnaud Buhot

Measuring, characterizing and modelling the slow dynamics of glassy soft matter is a great challenge, with an impact that ranges from industrial applications to fundamental issues in modern statistical physics, such as the glass transition…

Soft Condensed Matter · Physics 2009-11-11 Luca Cipelletti , Laurence Ramos

The two-dimensional XY gauge glass, which describes disordered superconducting grains in strong magnetic fields, is investigated, with regard to the possibility of a glass transition. We compute the glass susceptibility and the correlation…

Condensed Matter · Physics 2009-10-31 M. Y. Choi , Sung Yong Park

Disordered 2D lattices, including hexatic and various glassy states, are observed in a wide range of 2D systems including colloidal nanoparticle assemblies and fluxon lattices. Their disordered nature determines the stability and mobility…

Two-dimensional systems in which there is a competition between long-range repulsion and short range attraction exhibit a remarkable variety of patterns such as stripes, bubbles, and labyrinths. Such systems include magnetic films, Langmuir…

Soft Condensed Matter · Physics 2009-11-10 C. J. Olson Reichhardt , C. Reichhardt , I. Martin , A. R. Bishop

In this letter, we present the first numerical study on the structural and dynamical properties of a quasi-two-dimensional (q2D) binary complex plasma with Langevin dynamics simulation. The effect of interaction with non-reciprocity on the…

Plasma Physics · Physics 2018-09-26 Yi-Fei Lin , Alexei Ivlev , Hartmut Loewen , Liang Hong , Cheng-Ran Du

The description of thermodynamic phase transitions in terms of percolation transitions of suitably defined clusters has a long tradition and boasts a number of important successes, the most prominent ones being in ferromagnetic lattice…

Disordered Systems and Neural Networks · Physics 2024-08-20 Lambert Münster , Martin Weigel

We construct a mean field theory for the lattice model of a structural glass and solve it using the replica method and one step replica symmetry breaking ansatz; this theory becomes exact in the limit of infinite dimensions. Analyzing…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. V. Lopatin , L. B. Ioffe

The fragile-to-strong glass transition is a fascinating phenomenon that still presents many theoretical and experimental challenges. A major one is how to tune the fragility of a glass-forming liquid. Here, we study a two-dimensional (2D)…

Superconductivity · Physics 2025-03-14 Ilaria Maccari , Lara Benfatto , Claudio Castellani , José Lorenzana , Cristiano De Michele

Glassy behavior is one of the main open problems in condensed matter physics. In this thesis, we approach the problem by studying spin-glasses and colloids, using several complementary strategies. From the point of view of model building,…

Disordered Systems and Neural Networks · Physics 2013-09-10 B. Seoane

The two-dimensional XY-model with random phase-shifts on bonds is studied. The analysis is based on a renormalization group for the replicated system. The model is shown to have an ordered phase with quasi long-range order. This ordered…

Condensed Matter · Physics 2009-10-28 Stefan Scheidl

There is a growing interest, inspired by advances in technology, in the low temperature physics of thin films. These quasi-2D systems show a wide range of ordering effects including formation of striped states, reorientation transitions,…

Statistical Mechanics · Physics 2009-11-13 Alessandro Giuliani , Joel L. Lebowitz , Elliott H. Lieb

We consider the problem of slow activation dynamics in glassy systems undergoing a random first order phase transition. Using an effective potential approach to supercooled liquids, we determine the spectrum of activation barriers for…

Disordered Systems and Neural Networks · Physics 2013-05-29 Maxim Dzero , Joerg Schmalian , Peter G. Wolynes

We estimate the number of metastable states of a self generated stripe glass, relevant for the formation of glassy doped Mott insulators. Using replica bound states, we demonstrate that the configurational entropy is the difference between…

Disordered Systems and Neural Networks · Physics 2009-10-31 Joerg Schmalian , Harry Westfahl , Peter G. Wolynes