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Our research is directed to a quasi-static evolution of the thermo-visco-elastic model. We assume that the material is subject to two kinds of mechanical deformations: elastic and inelastic. Moreover, our analysis captures the influence of…

Analysis of PDEs · Mathematics 2014-04-08 Piotr Gwiazda , Filip Z. Klawe , Agnieszka Świerczewska-Gwiazda

Knee orthotic devices are widely proposed by physicians and medical practitioners for preventive or therapeutic objectives in relation with their effects, usually known as to stabilize joint or restrict ranges of motion. This study focuses…

Medical Physics · Physics 2014-09-22 Baptiste Pierrat , Jérôme Molimard , Paul Calmels , Laurent Navarro , Stéphane Avril

We examine the structural relaxation of glassy materials at finite temperatures, considering the effect of activated rearrangements and long-range elastic interactions. Our three-dimensional mesoscopic relaxation model shows how the…

Soft Condensed Matter · Physics 2023-12-20 Gieberth Rodriguez-Lopez , Kirsten Martens , Ezequiel E. Ferrero

We employ adaptive mesh refinement, implicit time stepping, a nonlinear multigrid solver and parallel computation, to solve a multi-scale, time dependent, three dimensional, nonlinear set of coupled partial differential equations for three…

Mathematical Physics · Physics 2015-06-22 P. C. Bollada , C. E. Goodyer , P. K. Jimack , A. M. Mullis , F. W. Yang

From scaling arguments and numerical simulations, we investigate the properties of the generalized elastic model (GEM), that is used to describe various physical systems such as polymers, membranes, single-file systems, or rough interfaces.…

Statistical Mechanics · Physics 2013-08-28 Mohsen Ghasemi Nezhadhaghighi , Aleksei V. Chechkin , Ralf Metzler

This article presents an overview on recent progress in the theory of nonequilibrium Green functions (NEGF). NEGF, presently, are the only \textit{ab-initio} quantum approach that is able to study the dynamics of correlations for long times…

Strongly Correlated Electrons · Physics 2019-12-20 N. Schluenzen , S. Hermanns , M. Scharnke , M. Bonitz

The d-dimensional n-spin facilitated kinetic Ising model is studied analytically starting from usual master equations and their transformation into a Fock-space representation. The evolution of relevant operators is rewritten in terms of a…

Statistical Mechanics · Physics 2009-10-31 Mario Einax , Michael Schulz

We propose a theory based on simple physical arguments that describes a non equilibrium steady-state by a temperature-like parameter (an "effective temperature"). We show how one can predict the effective temperature as a function of the…

Statistical Mechanics · Physics 2012-01-31 Ido Regev , Xiangdong Ding , Turab Lookman

We have performed comprehensive numerical simulations of the Random Phase Sine Gordon Model, studying both statics and dynamics for various values of the coupling. The glass transition can be seen both in static and dynamic signals at a…

Condensed Matter · Physics 2009-10-28 David J. Lancaster , Juan J. Ruiz Lorenzo

In this paper we present a dimensional reduction to obtain a one-dimensional model to analyze localized necking or bulging in a residually stressed circular cylindrical solid. The nonlinear theory of elasticity is first specialized to…

Soft Condensed Matter · Physics 2024-03-20 Yang Liu , Xiang Yu , Luis Dorfmann

The numerical analysis for the small amplitude motion of an elastic beam with internal damping is investigated in domain with moving ends. An efficient numerical method is constructed to solve this moving boundary problem. The stability and…

Numerical Analysis · Mathematics 2019-07-05 Natanael Quintino , Mauro Rincon

The critical behavior of the gauge-glass and the XY spin-glass models in three dimensions is studied by analyzing their nonequilibrium aging dynamics. A new numerical method, which relies on the calculation of the two-time correlation and…

Statistical Mechanics · Physics 2014-01-22 F. Roma , D. Dominguez

We have recently proposed a Nonequilibrium Green's Function (NEGF) approach to include Auger decay processes in the ultrafast charge dynamics of photoionized molecules. Within the so called Generalized Kadanoff-Baym Ansatz the fundamental…

Other Condensed Matter · Physics 2018-10-17 F. Covito , E. Perfetto , A. Rubio , G. Stefanucci

We calculate the optical sum (OS) and the kinetic energy (KE) for a tight binding band in the Nearly Antiferromagnetic Fermi Liquid (NAFFL) model which has had some success in describing the electronic structure of the high $T_c$ cuprates.…

Superconductivity · Physics 2007-05-23 E. Schachinger , J. P. Carbotte

A three-dimensional $\pm J$ XY spin-glass model is investigated by a nonequilibrium relaxation method. We have introduced a new criterion for the finite-time scaling analysis. A transition temperature is obtained by a crossing point of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Takeo Yamamoto , Takeshi Sugashima , Tota Nakamura

A generalized class of non-equilibrium state, called non-equilibrium asymptotic state (NEAS), is proposed. The NEAS is constructed within the framework of the Fokker-Planck equations in thermodynamic limit. Besides the usual equilibrium…

Statistical Mechanics · Physics 2023-12-11 Chi-Ho Cheng , Pik-Yin Lai

We study the full class of kinetically constrained models in arbitrary dimension and out of equilibrium, in the regime where the density $q$ of facilitating sites in the equilibrium measure (but not necessarily in the initial measure) is…

Probability · Mathematics 2024-05-29 Ivailo Hartarsky , Fabio Toninelli

We investigate the dimensional dependence of dynamical fluctuations related to dynamic heterogeneity in supercooled liquid systems using kinetically constrained models. The $d$-dimensional spin-facilitated East model with embedded probe…

Statistical Mechanics · Physics 2017-09-13 Soree Kim , Dayton G. Thorpe , Juan P. Garrahan , David Chandler , YounJoon Jung

The kinetic behavior of a three-dimensional off-lattice heteropolymer model is studied in terms of the time dependence of the average mean-square displacement between configurations. It is found that at short time-scales similar behavior is…

Soft Condensed Matter · Physics 2008-02-03 O. Sommelius

Quantum systems in extreme conditions can exhibit universal behavior far from equilibrium associated to nonthermal fixed points with a wide range of topical applications from early-universe inflaton dynamics and heavy-ion collisions to…

High Energy Physics - Phenomenology · Physics 2025-01-27 Jürgen Berges , Benjamin Wallisch