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Local minima also known as inherent structures are expected to play an essential role for the behavior of spin glasses. Here, we propose techniques to efficiently sample these configurations in Monte Carlo simulations. For the…

Disordered Systems and Neural Networks · Physics 2018-05-23 Stefan Schnabel , Wolfhard Janke

In this paper we present a dynamical Monte Carlo algorithm which is applicable to systems satisfying a clustering condition: during the dynamical evolution the system is mostly trapped in deep local minima (as happens in glasses, pinning…

Condensed Matter · Physics 2009-10-22 Werner Krauth , Olivier Pluchery

In 1986, Swendsen and Wang proposed a replica Monte Carlo algorithm for spin glasses [Phys. Rev. Lett. 57 (1986) 2607]. Two important ingredients are present, (1) the use of a collection of systems (replicas) at different of temperatures,…

Statistical Mechanics · Physics 2009-11-10 Jian-Sheng Wang , Robert H. Swendsen

Some questions concerning the calculation of the number of ``physical'' (metastable) states or complexity of the spherical $p$-spin spin glass model are reviewed and examined further. Particular attention is focused on the general…

Disordered Systems and Neural Networks · Physics 2009-11-10 A. Crisanti , L. Leuzzi , T. Rizzo

This study examines the behavior and tunability of plasmonic lenses created from arrays of nanoslits, applicable in sub-wavelength optical microscopy and other high-resolution imaging systems. We performed simulations on COMSOL Multiphysics…

In recent years inelastic spin-flip spectroscopy using a lowtemperature scanning tunneling microscope has been a very successful tool for studying not only individual spins but also complex coupled systems. When these systems interact with…

Mesoscale and Nanoscale Physics · Physics 2015-10-21 Markus Ternes

Ordering of the three-dimensional Heisenberg spin glass with Gaussian coupling is studied by extensive Monte Carlo simulations. The model undergoes successive chiral-glass and spin-glass transitions at nonzero temperatures T_{CG} > T_{SG} >…

Disordered Systems and Neural Networks · Physics 2012-01-27 Dao Xuan Viet , Hikaru Kawamura

The Monte Carlo carbyne model is modified to investigate the glass transition of the semi-flexible entangled polymer chains. The stochastic bombardment between monomers are monitored by Metropolis algorithm with help of the consideration of…

Computational Physics · Physics 2018-10-17 C. H. Wong , L. Xue , E. A. Buntov , A. F. Zatsepin

Most of the analytical studies on spin glasses are performed by using mean-field theory and renormalization group analysis. Analytical studies on finite-dimensional spin glasses are very challenging. In this short note, a possible exten-…

Disordered Systems and Neural Networks · Physics 2018-01-17 Masayuki Ohzeki , Yuta Kudo , Kazuyuki Tanaka

We give an overview of numerical and experimental estimates of critical exponents in Spin Glasses. We find that the evidence for a breakdown of universality of exponents in these systems is very strong.

Statistical Mechanics · Physics 2007-05-23 I. A. Campbell , D. Petit , P. O. Mari , L. W. Bernardi

A simple, non-disordered spin model has been studied in an effort to understand the origin of the precipitous slowing down of dynamics observed in supercooled liquids approaching the glass transition. A combination of Monte Carlo…

Statistical Mechanics · Physics 2009-11-07 Hui Yin , Bulbul Chakraborty

In this thesis I discuss combinatorial optimization problems, from the statistical physics perspective. The starting point are the motivations which brought physicists together with computer scientists and mathematicians to work on this…

Disordered Systems and Neural Networks · Physics 2020-01-13 Andrea Di Gioacchino

We present results of recent high-statistics Monte Carlo simulations of the Edwards-Anderson Ising spin-glass model in three and four dimensions. The study is based on a non-Boltzmann sampling technique, the multi-overlap algorithm which is…

Disordered Systems and Neural Networks · Physics 2007-05-23 Wolfhard Janke , Bernd A. Berg , Alain Billoire

Dilute magnetic nanoparticle systems exhibit slow dynamics [1] due to a broad distribution of relaxation times that can be traced to a correspondingly broad distribution of particle sizes [1]. However, at higher concentrations interparticle…

Disordered Systems and Neural Networks · Physics 2007-05-23 Derek Walton

We present numerical simulations of the 4D Edwards Anderson Ising spin glass with binary couplings. Our results, in the midst of strong finite size effects, suggest the existence of a spin glass phase transition. We present a preliminar…

Disordered Systems and Neural Networks · Physics 2009-10-31 Enzo Marinari , Carla Naitza , Francesco Zuliani

Photonic solvers that are able to find the ground states of different spin Hamiltonians can be used to study many interactive physical systems and combinatorial optimization problems. Here, we establish a real-and-momentum space…

Optics · Physics 2026-01-07 Juan Feng , Zengya Li , Luqi Yuan , Erez Hasman , Bo Wang , Xianfeng Chen

To establish a unified framework for studying both discrete and continuous coupling distributions, we introduce the {\it binomial} spin glass, a class of models where the couplings are sums of $m$ identically distributed Bernoulli random…

Disordered Systems and Neural Networks · Physics 2018-08-29 Mohammad-Sadegh Vaezi , Gerardo Ortiz , Martin Weigel , Zohar Nussinov

A dielectric medium consisting of roughly polarized molecules is treated as a 3D disordered spin system (spin glass). A microscopic approach for the study of statistical properties of this system on micrometer space scale and nanosecond…

Soft Condensed Matter · Physics 2007-05-23 Ashot S. Gevorkyan , Chin-Kun Hu

We study efficient optimization of the Hamiltonians of multi-species spherical spin glasses. Our results characterize the maximum value attained by algorithms that are suitably Lipschitz with respect to the disorder through a variational…

Probability · Mathematics 2023-09-15 Brice Huang , Mark Sellke

In talk I will review the theoretical results that have been obtained for spin glasses, paying a particular attention to finite dimensional spin glasses. I will concentrate my attention on the formulation of the mean field approach and on…

Disordered Systems and Neural Networks · Physics 2009-11-13 Giorgio Parisi