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How a system initially at infinite temperature responds when suddenly placed at finite temperatures is a way to check the existence of phase transitions. It has been shown in [R. da Silva, IJMPC 2023] that phase transitions are imprinted in…

We study the low temperature dynamics of a two dimensional short-range spin system with uniform ferromagnetic interactions, which displays glassiness at low temperatures despite the absence of disorder or frustration. The model has a dual…

Disordered Systems and Neural Networks · Physics 2009-10-31 Juan P. Garrahan , M. E. J. Newman

We review some recent results on finite dimensional spin glasses by studying recent numerical simulations and their relationship with experiments. In particular we will show results obtained at zero and non zero temperature, focusing in the…

Condensed Matter · Physics 2009-09-29 J. J. Ruiz-Lorenzo

We show that the replica approach to glassy dynamics provides, in spite of its static nature, a characterization of critical dynamics in the $\beta$-regime of super-cooled liquids that is equivalent to the one of Mode-Coupling-Theory, both…

Disordered Systems and Neural Networks · Physics 2013-02-25 Tommaso Rizzo

Measuring universal data in the strongly correlated regime of quantum critical points remains a fundamental objective for quantum simulators. In foundational work, Calabrese and Cardy demonstrated how this data governs the dynamics of…

Quantum Physics · Physics 2025-09-30 Julia Wei , Méabh Allen , Jack Kemp , Chenbing Wang , Zixia Wei , Joel E. Moore , Norman Y. Yao

Dense active matter is gaining widespread interest due to its remarkable similarity with conventional glass-forming materials. However, active matter is inherently out-of-equilibrium and even simple models such as active Brownian particles…

Soft Condensed Matter · Physics 2022-01-12 Vincent E. Debets , Xander M. de Wit , Liesbeth M. C. Janssen

We propose an approach to the problem of finite temperature dynamical correlation functions in integrable one-dimensional models with a spectral gap. The approach is based on the analysis of the singularities of the operator matrix elements…

Statistical Mechanics · Physics 2007-05-23 B. L. Altshuler , A. M. Tsvelik

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 show numeric evidence that, at low enough temperatures, the potential energy density of a glass-forming liquid fluctuates over length scales much larger than the interaction range. We focus on the behavior of translationally invariant…

Soft Condensed Matter · Physics 2009-04-21 L. A. Fernandez , V. Martin-Mayor , P. Verrocchio

We study in detail the predictions of various theoretical approaches, in particular mode-coupling theory (MCT) and kinetically constrained models (KCMs), concerning the time, temperature, and wavevector dependence of multi-point correlation…

Finite-dimensional signatures of spinodal criticality are notoriously difficult to come by. The dynamical transition of glass-forming liquids, first described by mode-coupling theory, is a spinodal instability preempted by thermally…

Statistical Mechanics · Physics 2020-09-09 Ludovic Berthier , Patrick Charbonneau , Joyjit Kundu

We use finite size scaling to study Ising spin glasses in two spatial dimensions. The issue of universality is addressed by comparing discrete and continuous probability distributions for the quenched random couplings. The sophisticated…

Disordered Systems and Neural Networks · Physics 2016-07-06 L. A. Fernandez , E. Marinari , V. Martin-Mayor , G. Parisi , J. J. Ruiz-Lorenzo

We discuss the general link between mode-coupling like equations (which serve as the basis of some recent theories of supercooled liquids) and the dynamical equations governing mean-field spin-glass models, or the dynamics of a particle in…

Condensed Matter · Physics 2015-06-25 Jean-Philippe Bouchaud , Leticia Cugliandolo , Jorge Kurchan , Marc Mézard

We investigate the critical behavior of trapped particle systems at the low-temperature superfluid transition. In particular, we consider the three-dimensional Bose-Hubbard model in the presence of a trapping harmonic potential coupled with…

Statistical Mechanics · Physics 2013-07-23 Giacomo Ceccarelli , Christian Torrero , Ettore Vicari

We consider off-equilibrium dynamics at the critical temperature in a class of glassy system. The off-equilibrium correlation and response functions obey a precise scaling form in the aging regime. The structure of the {\it equilibrium}…

Disordered Systems and Neural Networks · Physics 2013-03-18 Francesco Caltagirone , Giorgio Parisi , Tommaso Rizzo

We construct a model of short-range interacting Ising spins on a translationally invariant two-dimensional lattice that mimics a reversible circuit that multiplies or factorizes integers, depending on the choice of boundary conditions. We…

Statistical Mechanics · Physics 2019-10-09 Lei Zhang , Stefanos Kourtis , Claudio Chamon , Eduardo R. Mucciolo , Andrei E. Ruckenstein

We analyze the replica-symmetry-breaking construction in the Sherrington-Kirkpatrick model of a spin glass. We present a general scheme for deriving an exact asymptotic behavior near the critical temperature of the solution with an…

Disordered Systems and Neural Networks · Physics 2008-09-16 V. Janis , A. Klic

An ultracold gas of interacting fermionic atoms in a three-dimensional optical lattice is considered, where the lattice potential strength is periodically modulated. This non-equilibrium system is non-perturbatively described by means of a…

Quantum Physics · Physics 2016-03-07 Regine Frank

We compare dynamical heterogeneities in equilibrated supercooled liquids and in the nonequilibrium glassy state within the framework of the random first order transition theory. Fluctuating mobility generation and transport in the glass are…

Statistical Mechanics · Physics 2014-01-21 Apiwat Wisitsorasak , Peter G. Wolynes

The underwater traps of the carnivorous plants of the Utricularia species catch their preys through the repetition of an "active slow deflation / passive fast suction" sequence. In this paper, we propose a mechanical model that describes…

Biological Physics · Physics 2011-02-22 Marc Joyeux , Olivier Vincent , Philippe Marmottant
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