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Two coarse-grained models for polymer chains in dense glass-forming polymer melts are studied by computer simulation: the bond-fluctuation model on a simple cubic lattice, where a bond-length potential favors long bonds, is treated by…

Soft Condensed Matter · Physics 2007-05-23 K. Binder , J. Baschnagel , C. Bennemann , W. Paul

Recent high precision experimental results on spin-glass films ask for a detailed understanding of the domain-growth dynamics of two-dimensional spin glasses. To achieve this goal, we numerically simulate the out-equilibrium dynamics of the…

Disordered Systems and Neural Networks · Physics 2019-05-07 L. A. Fernandez , E. Marinari , V. Martin-Mayor , G. Parisi , J. J. Ruiz-Lorenzo

Ground-state properties of the two-dimensional $S=1/2$ random Heisenberg models are investigated by the exact-diagonalization method. The phase diagram of the bond-random model (the $\pm J$ model) is the same as that of the corresponding…

Condensed Matter · Physics 2016-08-31 Yoshihiko Nonomura , Yukiyasu Ozeki

This paper is divided into two parts. The first part concerns several standard scenarios for how short-range spin glasses might behave at low temperature. Earlier theorems of the authors are reviewed, and some new results presented,…

Disordered Systems and Neural Networks · Physics 2007-05-23 C. M. Newman , D. L. Stein

Spin glasses are frustrated magnetic systems due to a random distribution of ferro- and antiferromagnetic interactions. An experimental three dimensional (3d) spin glass exhibits a second order phase transition to a low temperature spin…

Disordered Systems and Neural Networks · Physics 2009-11-10 Per Nordblad

We reexamine the spin glass (SG) phase transition of the $\pm J$ Heisenberg models with and without the random anisotropy $D$ in three dimensions ($d = 3$) using complementary two methods, i.e., (i) the defect energy method and (ii) the…

Disordered Systems and Neural Networks · Physics 2009-11-10 F Matsubara , T Shirakura , S Endoh , S Takahashi

We propose a novel computational strategy to study the glass transition of molecular fluids. Our approach combines the construction of simple yet realistic models with the development of Monte Carlo algorithms to accelerate equilibration…

Statistical Mechanics · Physics 2026-03-31 Romain Simon , Jean-Louis Barrat , Ludovic Berthier

We study the critical behavior of the short-range p-state Potts spin glass in three and four dimensions using Monte Carlo simulations. In three dimensions, for p = 3, a finite-size scaling analysis of the correlation length shows clear…

Disordered Systems and Neural Networks · Physics 2007-05-23 L. W. Lee , Helmut G. Katzgraber , A. P. Young

Binary mixtures of large and small particles with disparate size ratio exhibit a rich phenomenology at their glass transition points. In order to gain insights on such systems, we introduce and study a two-component version of the $p$-spin…

Disordered Systems and Neural Networks · Physics 2016-08-03 Harukuni Ikeda , Atsushi Ikeda

We here confirm the occurrence of spin glass phase transition and extract estimates of associated critical exponents of a highly monodisperse and densely compacted system of bare maghemite nanoparticles. This system has earlier been found…

Disordered Systems and Neural Networks · Physics 2013-07-02 R. Mathieu , J. A. De Toro , D. Salazar , S. S. Lee , J. L. Cheong , P. Nordblad

The influence of strain amplitude, glass stability and thermal fluctuations on shear band formation and yielding transition is studied using molecular dynamics simulations. The model binary mixture is first gradually cooled below the glass…

Soft Condensed Matter · Physics 2020-08-03 Nikolai V. Priezjev

We study the Hopfield model with pure $p$-spin interactions with even $p\geq 4$, and a number of patterns, M(N) growing with the system size, $N$, as $M(N) = \a N^{p-1}$. We prove the existence of a critical temperature $\b_p$ characterized…

Disordered Systems and Neural Networks · Physics 2007-05-23 Anton Bovier , Beat Niederhauser

Effects of temperature changes on the nonequilibrium spin-glass dynamics of a strongly interacting ferromagnetic nanoparticle system (superspin glass) are studied. In contrary to atomic spin glasses, strong cooling rate effects are…

Disordered Systems and Neural Networks · Physics 2009-11-10 P. E. Jönsson , H. Yoshino , H. Mamiya , H. Takayama

The study of the low temperature phase of spin glass models by means of Monte Carlo simulations is a challenging task, because of the very slow dynamics and the severe finite size effects they show. By exploiting at the best the…

Disordered Systems and Neural Networks · Physics 2014-04-02 Lucas Nicolao , Giorgio Parisi , Federico Ricci-Tersenghi

We consider multiple non-interacting quantum mechanical two-level systems coupled to a common bosonic bath and study its quantum phase transition with Monte Carlo simulations using a continuous imaginary time cluster algorithm. The common…

Statistical Mechanics · Physics 2014-12-10 André Winter , Heiko Rieger

We study the effect in geometrically frustrated antiferromagnets of weak, random variations in the strength of exchange interactions. Without disorder the simplest classical models for these systems have macroscopically degenerate ground…

Disordered Systems and Neural Networks · Physics 2010-05-05 A. Andreanov , J. T. Chalker , T. E. Saunders , D. Sherrington

A detailed analysis of Monte Carlo data on the two-dimensional Ising spin glass with bimodal interactions shows that the free energy of the model has a nontrivial scaling. In particular, we show by studying the correlation length that much…

Disordered Systems and Neural Networks · Physics 2009-09-29 Helmut G. Katzgraber , L. W. Lee , I. A. Campbell

Spin glass dynamics is a strong function of spatial dimensionality $D$. The lower critical dimension is close to 2.5, so that, in two dimensions, the condensation temperature $T_\text{g}=0$, and only fluctuations are present at finite…

Disordered Systems and Neural Networks · Physics 2026-04-20 Hongze Li , Raymond L. Orbach , Gregory G. Kenning

Using positional data from video-microscopy of a two-dimensional colloidal system and from simulations of hard discs we determine the wave-vector-dependent normal mode spring constants in the supercooled fluid and glassy state,…

Soft Condensed Matter · Physics 2012-10-26 Christian L. Klix , Florian Ebert , Fabian Weysser , Matthias Fuchs , Georg Maret , Peter Keim

Molecular Dynamics (MD) computer simulations of a polydisperse soft-sphere model under shear are presented. Starting point for these simulations are deeply supercooled samples far below the critical temperature, $T_c$, of mode coupling…

Soft Condensed Matter · Physics 2022-07-27 Konstantin Lamp , Niklas Küchler , Jürgen Horbach