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A first-principles treatment of the vibrational dynamics of molecular chemisorbates on metal surfaces is presented. It is shown that the mean field quantum evolution of the vibrational position operator is determined by a quantum Langevin…

Materials Science · Physics 2007-05-23 Vinod Krishna

Perceptrons are the building blocks of many theoretical approaches to a wide range of complex systems, ranging from neural networks and deep learning machines, to constraint satisfaction problems, glasses and ecosystems. Despite their…

Disordered Systems and Neural Networks · Physics 2018-11-20 Elisabeth Agoritsas , Giulio Biroli , Pierfrancesco Urbani , Francesco Zamponi

The non-equilibrium self-consistent generalized Langevin equation theory of irreversible processes in liquids is extended to describe the positional and orientational thermal fluctuations of the instantaneous local concentration profile…

Soft Condensed Matter · Physics 2016-05-17 E. C. Cortes-Morales , L. F. Elizondo-Aguilera , M. Medina-Noyola

We examine classical, transient fluctuation theorems within the unifying framework of Langevin dynamics. We explicitly distinguish between the effects of non-conservative forces that violate detailed balance, and non-autonomous dynamics…

Statistical Mechanics · Physics 2009-11-11 Vladimir Y. Chernyak , Michael Chertkov , Christopher Jarzynski

We investigate the dynamics of the chiral transition in an expanding quark-anti-quark plasma. The calculations are made within a linear sigma model with explicit quark and antiquark degrees of freedom. We solve numerically the classical…

High Energy Physics - Phenomenology · Physics 2011-04-15 I. N. Mishustin , J. A. Pedersen , O. Scavenius

We examine the non-equilibrium time evolution of the hadronic plasma produced in a relativistic heavy ion collision, assuming a spherical expansion into the vacuum. We study the $O(4)$ linear sigma model to leading order in a large-$N$…

High Energy Physics - Theory · Physics 2014-11-18 Melissa A. Lampert , John F. Dawson , Fred Cooper

In this article we discuss several aspects of the stochastic dynamics of spin models. The paper has two independent parts. Firstly, we explore a few properties of the multi-point correlations and responses of generic systems evolving in…

Statistical Mechanics · Physics 2009-11-10 Guilhem Semerjian , Leticia F. Cugliandolo , Andrea Montanari

We discuss the dynamics of classical Dicke-type models, aiming to clarify the mechanisms by which coherent states could develop in potentially non-equilibrium systems such as semiconductor microcavities. We present simulations of an…

Strongly Correlated Electrons · Physics 2011-11-09 P. R. Eastham

The nonequilibrium effective equation of motion for a scalar background field in a thermal bath is studied numerically. This equation emerges from a microscopic quantum field theory derivation and it is suitable to a Langevin simulation on…

Nuclear Theory · Physics 2008-11-26 R. L. S. Farias , N. C. Cassol-Seewald , G. Krein , R. O. Ramos

A relativistic diffusion model with cylindrical symmetry, which propagates an initial state based on quantum chromodynamics in time towards a thermal equilibrium limit, is derived from nonequilibrium-statistical considerations: Adapting an…

High Energy Physics - Phenomenology · Physics 2024-03-29 Johannes Hoelck , Georg Wolschin

We investigate the influence of chiral symmetry which varies along the space-time evolution of the system by considering the chiral phase transition in an non-equilibrium expanding quark-antiquark system. The chiral symmetry is described by…

High Energy Physics - Phenomenology · Physics 2021-01-13 Ziyue Wang , Shuzhe Shi , Pengfei Zhuang

Non-equilibrium dynamics are present in many aspects of our lives, ranging from microscopic physical systems to the functioning of the brain. What characterizes stochastic models of non-equilibrium processes is the breaking of the…

Statistical Mechanics · Physics 2025-01-27 Sergei Shmakov , Peter B. Littlewood

We show that the Linear Sigma Model with quarks produces an effective description of the QCD phase diagram and of the system's equilibrium distribution properties that deviate from those of the Hadron Resonance Gas Model. The deviation is…

Different quantum Langevin equations obtained by coupling a particle to a field are examined. Instabilities or violations of causality affect the motion of a point charge linearly coupled to the electromagnetic field. In contrast, coupling…

Quantum Physics · Physics 2023-04-14 Marc-Thierry Jaekel , Serge Reynaud

The linear sigma model with linearized fluctuations of all involved fields facilitates the onset of a sequence of first-order phase transitions at a critical point. This phase structure has distinctive imprints on the photon emission rates.…

High Energy Physics - Phenomenology · Physics 2016-08-22 Falk Wunderlich , Burkhard Kampfer

We consider a prototypical model in which a nonlinear field (continuum or discrete) evolves on a flexible substrate which feeds back to the evolution of the main field. We identify the underlying physics and potential applications of such a…

Pattern Formation and Solitons · Physics 2009-11-07 P. G. Kevrekidis , B. A. Malomed , A. R. Bishop

First, the chiral phase transition at nonzero temperature and baryon chemical potential is studied at mean field level in the sigma model that includes quark degrees of freedom explicitly. For small bare quark masses the critical point…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Mocsy

Within the model A in the Hohenberg's dynamical universality classification, we investigate the critical slowing down effects on the critical fluctuations driven by the expanding quark-gluon plasma, using a trajectory and cooling rate…

Nuclear Theory · Physics 2023-09-04 Shian Tang , Shanjin Wu , Huichao Song

We consider the dynamic critical behavior of the propagating mode for the order parameter fluctuation of the O($N$) Ginzburg-Landau theory, involving the canonical momentum as a degree of freedom. We reexamine the renormalization group…

Nuclear Theory · Physics 2009-11-11 K. Ohnishi , T. Kunihiro

A two species particle model on an open chain with dynamics which is non-conserving in the bulk is introduced. The dynamical rules which define the model obey a symmetry between the two species. The model exhibits a rich behavior which…

Statistical Mechanics · Physics 2009-11-10 E. Levine , R. D. Willmann
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