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The relaxation dynamics of many disordered systems, such as structural glasses, proteins, granular materials or spin glasses, is not completely frozen even at very low temperatures. This residual motion leads to a change of the properties…

Soft Condensed Matter · Physics 2009-10-31 Walter Kob , Francesco Sciortino , Piero Tartaglia

Numerical Simulation is an essential part of the design and optimisation of astronomical adaptive optics systems. Simulations of adaptive optics are computationally expensive and the problem scales rapidly with telescope aperture size, as…

Astrophysics · Physics 2009-11-13 A. G. Basden , F. Assemat , T. Butterley , D. Geng , C. D. Saunter , R. W. Wilson

Spin glasses are quintessential examples of complex matter. Although much about their order remains uncertain, abstract models of them inform, e.g., the classification of combinatorial optimization problems, the magnetic ordering in metals…

A spin model that displays inverse melting and inverse glass transition is presented and analyzed. Strong degeneracy of the interacting states of an individual spin leads to entropic preference of the "ferromagnetic" phase, while lower…

Statistical Mechanics · Physics 2009-11-10 Nurith Schupper , Nadav M. Shnerb

We study numerically the Sherrington--Kirkpatrick model as function of the magnetic field h, with fixed temperature T=0.6 Tc. We investigate the finite size scaling behavior of several quantities, such as the spin glass susceptibility,…

Statistical Mechanics · Physics 2009-11-10 Alain Billoire , Barbara Coluzzi

We consider the problem of algorithmically sampling from the Gibbs measure of a mixed $p$-spin spherical spin glass. We give a polynomial-time algorithm that samples from the Gibbs measure up to vanishing total variation error, for any…

Probability · Mathematics 2024-04-25 Brice Huang , Andrea Montanari , Huy Tuan Pham

A numerical model is built, simulating the principles of kinetic gas theory, to predict pressures of molecules in a spherical pressure vessel; the model tracks a single particle and multiplies the force on the spherical walls by a mole of…

Statistical Mechanics · Physics 2026-03-31 Matthew Marko

The physical properties of magnetic nanoparticles have been investigated with focus on the influence of dipolar interparticle interaction. For weakly coupled nanoparticles, thermodynamic perturbation theory is employed to derive analytical…

Materials Science · Physics 2016-08-31 Petra E. Jönsson

A characteristic feature of the non--equilibrium dynamics of real spin glasses at low temperatures are strong aging effects. These phenomena can be manipulated by changing the external parameters in various ways: a thermo-cycling experiment…

Condensed Matter · Physics 2009-10-22 Heiko Rieger

Spin glasses are magnetic materials exhibiting numerous magnetization patterns, that randomly vary both in real space and in time. To date, it is still not well understood what the nature of these spatiotemporal dynamics is, namely if they…

Materials Science · Physics 2024-12-23 L. Niggli , J. H. Strik , Z. Liu , A. Bergman , M. I. Katsnelson , D. Wegner , A. A. Khajetoorians

The thermal-to-percolative crossover exponent \phi, well-known for ferromagnetic systems, is studied extensively for Edwards-Anderson spin glasses. The scaling of defect energies are determined at the bond percolation threshold p_c, using…

Disordered Systems and Neural Networks · Physics 2009-11-13 S. Boettcher , E. Marchetti

Spin glass (SG) is a typical magnetic system with frozen random spin orientation at low temperatures. The system exhibits rich physical properties, such as infinite number of ground states, memory effect and aging phenomena. There are two…

Disordered Systems and Neural Networks · Physics 2016-03-23 Tasrief Surungan , Bansawang BJ , Dahlang Tahir

All higher-spin s >= 1/2 Ising spin glasses are studied by renormalization-group theory in spatial dimension d=3. The s-sequence of global phase diagrams, the chaos Lyapunov exponent, and the spin-glass runaway exponent are calculated. It…

Disordered Systems and Neural Networks · Physics 2021-10-26 E. Can Artun , A. Nihat Berker

We present a new particle-based (discrete element) numerical method for the simulation of granular dynamics, with application to motions of particles on small solar system body and planetary surfaces. The method employs the parallel N-body…

Earth and Planetary Astrophysics · Physics 2013-06-12 Derek C. Richardson , Kevin J. Walsh , Naomi Murdoch , Patrick Michel

The scaling of fluctuations in the distribution of ground-state energies or costs with the system size N for Ising spin glasses is considered using an extensive set of simulations with the Extremal Optimization heuristic across a range of…

Disordered Systems and Neural Networks · Physics 2022-05-20 Stefan Boettcher

The critical behaviour of the dynamical transition of glassy system is controlled by a Replica Symmetric action with n=1 replicas. The most divergent diagrams in the loop expansion correspond at all orders to the solutions of a stochastic…

Statistical Mechanics · Physics 2011-05-27 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

We present a recursive procedure to calculate the parameters of the recently introduced multicanonical ensemble and explore the approach for spin glasses. Temperature dependence of the energy, the entropy and other physical quantities are…

High Energy Physics - Lattice · Physics 2009-01-23 Bernd A. Berg , Tarik Celik

A mean-field multi-spin interaction spin glass model is analyzed in the presence of a ferromagnetic coupling. The static and dynamical phase diagrams contain four phases (paramagnet, spin glass, ordinary ferromagnet and glassy ferromagnet)…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. A. Hertz , David Sherrington , Th. M. Nieuwenhuizen

We study the Metropolis dynamics of a simple spin system without disorder, which exhibits glassy dynamics at low temperatures. We use an implementation of the algorithm of Bortz, Kalos and Lebowitz \cite{bortz}. This method turns out to be…

Condensed Matter · Physics 2009-10-22 Werner Krauth , Marc Mezard

The site-random Ising spin glass model is investigated. We find a rigorous symmetry for the SG correlation and the free energy, which provides some restrictions in the phase diagram. Using the defect energies calculated by the numerical…

Condensed Matter · Physics 2009-10-28 Yukiyasu Ozeki , Yoshihiko Nonomura
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