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We apply the powerful method of memory function formalism to investigate non-equilibrium electron relaxation in graphene. Within the premises of Two Temperature Model (TTM), explicit expressions of the imaginary part of the Memory Function…

Strongly Correlated Electrons · Physics 2019-09-04 Luxmi Rani , Pankaj Bhalla , Navinder Singh

A justification of heterogeneous membrane models as zero-thickness limits of a cylindral three-dimensional heterogeneous nonlinear hyperelastic body is proposed in the spirit of Le Dret & Raoult. Specific characterizations of the 2D elastic…

Analysis of PDEs · Mathematics 2007-05-23 Jean-Francois Babadjian , Gilles A. Francfort

This work is devoted to the consistent modeling of a three-phase mixture of a gas, a liquid and its vapor. Since the gas and the vapor are mis-cible, the mixture is subjected to a non-symmetric constraint on the volume. Adopting the Gibbs…

Analysis of PDEs · Mathematics 2017-10-13 Hélène Mathis

We study nonequilibrium roughening during compressive plastic flow of initially flat Cu$_{50}$Zr$_{50}$ metallic glass using large-scale molecular dynamics simulations. Roughness emerges at atomically flat interfaces beyond the yield point…

Materials Science · Physics 2022-07-26 Wolfram G. Nöhring , Adam R. Hinkle , Lars Pastewka

We discuss the thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions. In particular we investigate the NLO 1/N correction to the 1PI finite temperature effective potential expressed in terms of an auxiliary field. The effective…

High Energy Physics - Phenomenology · Physics 2017-08-23 Harmen J. Warringa

We calculate the momentum distribution of the Fermi liquid phase of the homogeneous, two-dimensional electron gas. We show that, close to the Fermi surface, the momentum distribution of a finite system with $N$ electrons approaches its…

Strongly Correlated Electrons · Physics 2011-05-13 Markus Holzmann , Bernard Bernu , Valerio Olevano , Richard M. Martin , David M. Ceperley

We present a modified version of the one-dimensional sine-Gordon that exhibits a thermodynamic, roughening phase transition, in analogy with the 2D usual sine-Gordon model. The model is suited to study the crystalline growth over an…

Statistical Mechanics · Physics 2009-11-10 Saul Ares , Angel Sanchez

As a canonical model for wetting far from thermal equilibrium we study a Kardar-Parisi-Zhang interface growing on top of a hard-core substrate. Depending on the average growth velocity the model exhibits a non-equilibrium wetting transition…

Statistical Mechanics · Physics 2007-05-23 Thomas Kissinger , Andreas Kotowicz , Oliver Kurz , Francesco Ginelli , Haye Hinrichsen

The effects of spatially correlated noise on a phenomenological equation equivalent to a non-local version of the Kardar-Parisi-Zhang equation are studied via the dynamic renormalization group (DRG) techniques. The correlated noise coupled…

Statistical Mechanics · Physics 2009-10-31 Amit Kr. Chattopadhyay

The Kardar-Parisi-Zhang (KPZ) equation sets the universality class for growing and roughening of nonequilibrium surfaces without any conservation law and nonlocal effects. We argue here that the KPZ equation can be generalized by including…

Statistical Mechanics · Physics 2025-12-01 Debayan Jana , Astik Haldar , Abhik Basu

We discuss an asymmetric energy model (AEM) introduced by Giardina et al. in \cite{7}. This model is expected to belong to the KPZ class. We obtain lower bounds for the diffusion coefficient. In particular, the diffusion coefficient is…

Statistical Mechanics · Physics 2009-11-13 Cedric Bernardin

A model for kinetic roughening of one-dimensional interfaces is presented within an intrinsic geometry framework that is free from the standard small-slope and no-overhang approximations. The model is meant to probe the consequences of the…

Statistical Mechanics · Physics 2011-06-02 Javier Rodriguez-Laguna , Silvia N. Santalla , Rodolfo Cuerno

Long-range spatiotemporal correlations may play important roles in nonequilibrium surface growth process. In order to investigate the effects of long-range temporal correlation on dynamic scaling of growing surfaces, we perform extensive…

Statistical Mechanics · Physics 2021-08-11 Tianshu Song , Hui Xia

In this work we continue and extend our recent work on the correlation energy of the quantized electron gas of uniform density at temperature $T=0$. As before we utilize the methods, properties, and results obtained by means of classical…

Statistical Mechanics · Physics 2017-10-11 Enrique Lomba , Johan S. Høye

Ray-tracing (RT) has become central to site-specific electromagnetic propagation modeling in dynamic complex environments. Yet its computational burden grows sharply as high-fidelity digital twins of these environments scale to millions of…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Giacomo Melloni , Enrico M. Vitucci , Vittorio Degli Esposti , Samuel Berweger , Jack Chuang , Camillo Gentile , Nada Golmie

A class of nonequilibrium models with short-range interactions and sequential updates is presented. The models describe one dimensional growth processes which display a roughening transition between a smooth and a rough phase. This…

Condensed Matter · Physics 2009-10-28 Uri Alon , Martin Evans , Haye Hinrichsen , David Mukamel

Acoustic emission signals are known to exhibit a high degree of reproducibility in time and show correlations with the growth and shrinkage of martensite domains when athermal martensites are subjected to repeated thermal cycling in a…

Materials Science · Physics 2009-11-10 S. Sreekala , G. Ananthakrishna

Alternative approach for description of the non-equilibrium phenomena arising in solids at a severe external loading is analyzed. The approach is based on the new form of kinetic equations in terms of the internal and modified free energy.…

Statistical Mechanics · Physics 2014-08-27 L. S. Metlov

We suggest an alternative mathematical model for the electron in dimension 1+2. We think of our (1+2)-dimensional spacetime as an elastic continuum whose material points can experience no displacements, only rotations. This framework is a…

Mathematical Physics · Physics 2012-08-21 James Burnett , Dmitri Vassiliev

Extended dynamical simulations have been performed on a 2+1 dimensional driven dimer lattice gas model to estimate ageing properties. The auto-correlation and the auto-response functions are determined and the corresponding scaling…

Statistical Mechanics · Physics 2014-04-23 Géza Ódor , Jeffrey Kelling , Sibylle Gemming
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