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Related papers: Relaxation kinetics in two-dimensional structures

200 papers

Motivated by a series of experiments that revealed a temperature dependence of the dynamic scaling regime of growing surfaces, we investigate theoretically how a nonequilibrium growth process reacts to a sudden change of system parameters.…

Statistical Mechanics · Physics 2015-05-14 Yen-Liang Chou , Michel Pleimling , R. K. P. Zia

In polymers melts and supercooled liquids, the glassy dynamics is characterized by the rattling of monomers or particles in the cage formed by their neighbors. Recently, a direct correlation in such systems, described by a universal scaling…

Soft Condensed Matter · Physics 2010-09-09 Cristiano De Michele , Emanuela Del Gado , Dino Leporini

Supercooled liquids are characterized by relaxation times that increase dramatically by cooling or compression. Many liquids have been shown to obey power-law density scaling, according to which the relaxation time is a function of density…

Soft Condensed Matter · Physics 2012-12-19 Lasse Bøhling , Trond S. Ingebrigtsen , A. Grzybowski , M. Paluch , Jeppe C. Dyre , Thomas B. Schrøder

The short-time behaviour of the critical dynamics for magnetic systems is investigated with Monte Carlo methods. Without losing the generality, we consider the relaxation process for the two dimensional Ising and Potts model starting from…

Soft Condensed Matter · Physics 2009-10-30 B. Zheng

We investigate the relaxation mechanism of a supercooled tetrahedral liquid at its limit of stability using isothermal isobaric ($NPT$) Monte Carlo (MC) simulations. In similarity with systems which are far from equilibrium but near the…

Statistical Mechanics · Physics 2017-09-06 Arvind Kumar Gautam , Nandlal Pingua , Aashish Goyal , Pankaj A. Apte

We consider the Ising model on a small-world network, where the long-range interaction strength $J_2$ is in general different from the local interaction strength $J_1$, and examine its relaxation behaviors as well as phase transitions. As…

Statistical Mechanics · Physics 2009-11-11 Daun Jeong , M. Y. Choi , Hyunggyu Park

Non-reciprocal interactions are a generic feature of non-equilibrium systems. We define a non-reciprocal generalization of the kinetic Ising model in one spatial dimension. We solve the model exactly using two different approaches for…

Statistical Mechanics · Physics 2025-04-02 Gabriel Artur Weiderpass , Mayur Sharma , Savdeep Sethi

The phase ordering kinetics of the two-dimensional uniaxial nematic has been studied using a Cell Dynamic Scheme. The system after quench from T=infinity was found to scale dynamically with an asymptotic growth law similar to that of…

Statistical Mechanics · Physics 2007-05-23 Subhrajit Dutta , Soumen Kumar Roy

To understand the non-equilibrium relaxation dynamics of a liquid droplet on a switchable substrate the interplay of different length- and time-scales needs to be understood. We present a method to map the microscopic information, resulting…

Fluid Dynamics · Physics 2022-08-01 Moritz Stieneker , Leon Topp , Svetlana Gurevich , Andreas Heuer

The response of many materials to applied forces and boundary constraints depends upon internal geometric changes at multiple submacroscopic levels. Hierarchical structured deformations provide a mathematical setting for the description of…

Classical Analysis and ODEs · Mathematics 2025-05-15 Ana Cristina Barroso , José Matias , Marco Morandotti , David R. Owen , Elvira Zappale

We report a computer simulation study of a model gel-former obtained by modifying the three-body interactions of the Stillinger-Weber potential for silicon. This modification reduces the average coordination number and consequently shifts…

Disordered Systems and Neural Networks · Physics 2015-05-27 Shibu Saw , Niels L. Ellegaard , Walter Kob , Srikanth Sastry

We report on the computer study of a lattice system that relaxes from a metastable state. Under appropriate nonequilibrium randomness, relaxation occurs by avalanches, i.e., the model evolution is discontinuous and displays many scales in a…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. I. Hurtado , J. Marro , P. L. Garrido

We study relaxation dynamics of a three dimensional elastic manifold in random potential from a uniform initial condition by numerically solving the Langevin equation.We observe growth of roughness of the system up to larger wavelengths…

Disordered Systems and Neural Networks · Physics 2009-03-19 Tomoaki Nogawa , Koji Nemoto , Hajime Yoshino

Like emulsions, pastes and many other forms of soft condensed matter, aqueous foams present slow mechanical relaxations when subjected to a stress too small to induce any plastic flow. To identify the physical origin of this viscoelastic…

Soft Condensed Matter · Physics 2016-08-16 S. Vincent-Bonnieu , R. Höhler , S. Cohen-Addad

It is shown that the dynamics of a two-dimensional crystal with a finite concentration of dislocations, as well as vacancy and interstitial defects, is governed by the hydrodynamic equations of a viscoelastic medium. At the longest length…

Soft Condensed Matter · Physics 2009-11-07 M. Cristina Marchetti , Karl Saunders

We investigate via Monte Carlo simulations the kinetically constrained Kob-Andersen lattice glass model showing that, contrary to current expectations, the relaxation process and the dynamical heterogeneities seems to be characterized by…

Soft Condensed Matter · Physics 2014-05-26 Raffaele Pastore , Massimo Pica Ciamarra , Antonio Coniglio

We introduce an off-lattice model with continuous particle distances and pair-potential interactions which allows for the efficient simulation of strained heteroepitaxial growth by means of kinetic Monte Carlo (KMC) simulations. We discuss…

Materials Science · Physics 2007-05-23 Florian Much

The general scheme for the treatment of relaxation processes and temporal autocorrelations of dynamical variables for many particle systems is presented in framework of the recurrence relations approach. The time autocorrelation functions…

Statistical Mechanics · Physics 2013-12-10 Anatolii V. Mokshin

The dynamical glass transition is typically taken to be the temperature at which a glassy liquid is no longer able to equilibrate on experimental timescales. Consequently, the physical properties of these systems just above or below the…

Soft Condensed Matter · Physics 2017-03-08 Samuel S. Schoenholz , Ekin D. Cubuk , Efthimios Kaxiras , Andrea J. Liu

We examine the scaling with activity of the emergent length scales that control the nonequilibrium dynamics of an active nematic liquid crystal, using two popular hydrodynamic models that have been employed in previous studies. In both…

Soft Condensed Matter · Physics 2016-09-05 E. J. Hemingway , P. Mishra , M. C. Marchetti , S. M. Fielding
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