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A characteristic of spin reversal in the presence of phonon-bottleneck is the deviation of the magnetization cycle from a reversible function into an opened hysterezis cycle. In recent experiments on molecular magnets (e.g. V$_{15}$ and…

Mesoscale and Nanoscale Physics · Physics 2009-09-28 L. Chen , I. Chiorescu

We connect an appropriate feedback loop to a model of 2D vertical eddy of airflow which unfolds a wide range of vorticity behavior. Computational fluid dynamics of the twisted roll display a class of long lifespan 3D vortices. On the one…

Fluid Dynamics · Physics 2007-05-23 Safieddine Bouali

This paper introduces a simulation study of fluid actuated multi-driven closed system as spherical mobile robot called "RollRoller". Robot's mechanism design consists of two essential parts: tubes to lead a core and mechanical controlling…

Robotics · Computer Science 2016-10-21 Seyed Amir Tafrishi , Sandor M. Veres , Esmaeil Esmaeilzadeh , Mikhail Svinin

We study static and dynamic spatial correlations in a two-dimensional spin model with four-body plaquette interactions and standard Glauber dynamics by means of analytic arguments and Monte Carlo simulations. We study in detail the…

Statistical Mechanics · Physics 2009-11-11 Robert L. Jack , Ludovic Berthier , Juan P. Garrahan

The action of the 2d O(3) non-linear sigma model on the lattice in a bath of particles, when expressed in terms of standard O(3) degrees of freedom, is complex. A reformulation of the model in terms of new variables that makes the action…

High Energy Physics - Lattice · Physics 2018-12-26 B. Alles , O. Borisenko , Alessandro Papa

We develop a new perspective on the discretization of the phase space structure of gravity in 2+1 dimensions as a piecewise-flat geometry in 2 spatial dimensions. Starting from a subdivision of the continuum geometric and phase space…

General Relativity and Quantum Cosmology · Physics 2020-04-03 Laurent Freidel , Florian Girelli , Barak Shoshany

We report a very detailed relation about the study, by a constrained Monte Carlo dynamic, of a 4D EA spin glass model (J=+/- 1). In particular we concentrate our attention on the behaviour of the system under different bounds imposed in…

Disordered Systems and Neural Networks · Physics 2009-09-25 Angelo Cacciuto

We formulate a new geometrical string on the euclidean lattice. It is possible to find such spin systems with local interaction which reproduce the same surface dynamics.In the three-dimensional case this spin system is a usual Ising…

High Energy Physics - Theory · Physics 2009-10-22 G. K. Savvidy , F. J. Wegner

Three properties of the Edwards-Anderson model with mobile bonds are investigated which are characteristic of kinetic glasses. First is two-time relaxation in aged systems, where a significant difference is observed between spin and bond…

Disordered Systems and Neural Networks · Physics 2007-05-23 D. Capeta , D. K. Sunko

Our theoretical understanding of glassy dynamics is notoriously incomplete, and it is even more so when the glassy systems are driven out of equilibrium. An extreme way to drive a system out of equilibrium is to introduce nonequilibrium…

Soft Condensed Matter · Physics 2023-08-30 Chiu Fan Lee

A recently introduced Renormalization Group approach to frustrated spin models is applied in three dimensions through Monte Carlo computations. A class of spin glass models is analysed, with correlated disorder variables given by a Z_2…

Statistical Mechanics · Physics 2007-05-23 Leonardo Gnesi , Roberto Petronzio , Francesco Rosati

In these lectures I will present an introduction to the modern way of studying the properties of glassy systems. I will start from soluble models of increasing complications, the Random Energy Model, the $p$-spins interacting model and I…

Disordered Systems and Neural Networks · Physics 2009-10-30 Giorgio Parisi

The richness of the mean-field solution of simple glasses leaves many of its features challenging to interpret. A minimal model that illuminates glass physics the same way the random energy model clarifies spin glass behavior would…

Disordered Systems and Neural Networks · Physics 2025-03-14 Gilles Bonnet , Patrick Charbonneau , Giampaolo Folena

We discuss the status of Monte Carlo simulations of (mainly finite dimensional) spin glass systems. After a short historical note and a brief theoretical introduction we start by discussing the (crucial) 3D case: the warm phase, the…

Disordered Systems and Neural Networks · Physics 2016-08-31 Enzo Marinari , Giorgio Parisi , Juan Ruiz-Lorenzo

We consider a family of quantum loop models in 2+1 spacetime dimensions with marginally long-ranged and statistical interactions mediated by a U$(1)$ gauge field, both purely in 2+1 dimensions and on a surface in a 3+1 dimensional bulk…

Strongly Correlated Electrons · Physics 2018-05-16 Hart Goldman , Eduardo Fradkin

We present Monte Carlo simulations in a modification of the north-or-east-or-front model recently investigated by Berthier and Garrahan [J. Phys. Chem. B 109, 3578 (2005)]. In this coarse-grained model for relaxation in supercooled liquids,…

Soft Condensed Matter · Physics 2009-11-11 Angel J. Moreno , Juan Colmenero

Monte Carlo simulation using the standard single-spin flip algorithm often fails to sample over the entire configuration space at low temperatures for frustrated spin systems. A typical example is a class of spin-ice type Ising models. In…

Statistical Mechanics · Physics 2011-09-30 Hiroshi Shinaoka , Yusuke Tomita , Yukitoshi Motome

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

Spin glasses are paradigmatic models that deliver concepts relevant for a variety of systems. However, rigorous analytical results are difficult to obtain for spin-glass models, in particular for realistic short-range models. Therefore…

Disordered Systems and Neural Networks · Physics 2008-02-12 Helmut G. Katzgraber

We discuss the slow, nonequilibrium, dynamics of spin glasses in their glassy phase. We briefly review the present theoretical understanding of the spectacular phenomena observed in experiments and describe new numerical results obtained in…

Disordered Systems and Neural Networks · Physics 2009-11-10 Ludovic Berthier , A. P. Young