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The theory of growth kinetics developed previously is extended to the asymmetric case of off-critical quenches for systems with a conserved scalar order parameter. In this instance the new parameter $M$, the average global value of the…

凝聚态物理 · 物理学 2009-10-22 G. F. Mazenko , R. A. Wickham

We extend the discussion of the growth kinetics of the large-N time-dependent Ginzburg-Landau model with an order parameter described by a $\Phi^6$ free energy functional, to the conserved case. Quenches from a high temperature initial…

凝聚态物理 · 物理学 2015-06-25 F. Corberi , U. Marini. Bettolo Marconi

The dependence of the scaling properties of the structure factor on space dimensionality, range of interaction, initial and final conditions, presence or absence of a conservation law is analysed in the framework of the large-N model for…

凝聚态物理 · 物理学 2009-10-22 Antonio Coniglio , Patrizia Ruggiero , Marco Zannetti

We studied the non-equilibrium dynamics of the q-state Potts model in the square lattice, after a quench to sub-critical temperatures. By means of a continuous time Monte Carlo algorithm (non-conserved order parameter dynamics) we analyzed…

统计力学 · 物理学 2007-09-13 Ezequiel E. Ferrero , Sergio A. Cannas

A global analysis of the scaling behaviour of a system with a scalar order parameter quenched to zero temperature is obtained by numerical simulation of the Ginzburg-Landau equation with conserved and non conserved order parameter. A rich…

凝聚态物理 · 物理学 2016-08-31 F. Corberi , A. Coniglio , M. Zannetti

The growth of striped order resulting from a quench of the two-dimensional Swift-Hohenberg model is studied in the regime of a small control parameter and quenches to zero temperature. We introduce an algorithm for finding and identifying…

软凝聚态物质 · 物理学 2009-11-07 Hai Qian , Gene F. Mazenko

The effect of an order-parameter dependent mobility (or kinetic coefficient), on the phase-ordering dynamics of a system described by an n-component vector order parameter is addressed at zero temperature in the large-n limit. We consider…

统计力学 · 物理学 2009-10-31 C. L. Emmott , A. J. Bray

Following quenches from random initial configurations to zero temperature, we study aging during evolution of the ferromagnetic (nonconserved) Ising model towards equilibrium, via Monte Carlo simulations of very large systems, in space…

统计力学 · 物理学 2019-02-20 Nalina Vadakkayil , Saikat Chakraborty , Subir K. Das

We employ the derivative expansion of the nonperturbative renormalization group to address the phenomenon of anisotropic scale invariance and the associated functional fixed points, also known as Lifshitz points, in systems characterized by…

统计力学 · 物理学 2025-11-27 Gonzalo De Polsi , Pawel Jakubczyk

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…

统计力学 · 物理学 2007-05-23 Subhrajit Dutta , Soumen Kumar Roy

We present a comprehensive picture of (non-critical) domain growth in model C systems where a non-conserved scalar order parameter is coupled to a conserved concentration field. For quenches into the region where the ordered and disordered…

统计力学 · 物理学 2009-11-07 Julien Kockelkoren , Hugues Chaté

In the conceptual framework of phase ordering after temperature quenches below transition, we consider the underdamped Bales-Gooding-type 'momentum conserving' dynamics of a 2D martensitic structural transition from a square-to-rectangle…

统计力学 · 物理学 2016-12-07 N. Shankaraiah , Awadhesh K. Dubey , Sanjay Puri , Subodh R. Shenoy

Recent experimental achievements in controlling ultracold gases in optical lattices open a new perspective on quantum many-body physics. In these experimental setups it is possible to study coherent time evolution of isolated quantum…

量子气体 · 物理学 2010-06-04 Peter Barmettler , Matthias Punk , Vladimir Gritsev , Eugene Demler , Ehud Altman

We study the late stages of spinodal decomposition in a Ginzburg-Landau mean field model with quenched disorder. Random spatial dependence in the coupling constants is introduced to model the quenched disorder. The effect of the disorder on…

凝聚态物理 · 物理学 2016-08-31 M. F. Gyure , S. T. Harrington , R. Strilka , H. E. Stanley

In frameworks of scaling theory of phase transitions and critical phenomena the structure of melt-crystallized polymers is discussed. The model constructed follows drawing polymeric materials and dissipating the energy during the transition…

材料科学 · 物理学 2012-10-29 A. N. Yakunin

We study the phase-ordering kinetics of the one-dimensional Heisenberg model with conserved order parameter, by means of scaling arguments and numerical simulations. We find a rich dynamical pattern with a regime characterized by two…

统计力学 · 物理学 2009-06-15 R. Burioni , F. Corberi , A. Vezzani

The influence of the initial fluctuations on the onset of scaling in the quench to zero temperature of a two dimensional system with conserved order parameter, is analyzed in detail with and without topological defects. We find that the…

凝聚态物理 · 物理学 2009-10-28 Claudio Castellano , Marco Zannetti

Using a cell dynamic system (CDS) simulation scheme, we investigate the phase-ordering dynamics of non-conserved O(n) models without topological defects, i.e. for $n > d+1$ where $d$ is the spatial dimensionality. In particular, we consider…

凝聚态物理 · 物理学 2009-10-28 F. Rojas , A. J. Bray

We have revisited the non-conserved (or model A) critical dynamics of the two-dimensional Ising model through numerical simulations of its lattice and continuum formulations --Glauber dynamics and the timedependent Ginzburg-Landau (TDGL)…

统计力学 · 物理学 2025-12-02 Héctor Vaquero del Pino , Rodolfo Cuerno

The theory of phase ordering dynamics -- the growth of order through domain coarsening when a system is quenched from the homogeneous phase into a broken-symmetry phase -- is reviewed, with the emphasis on recent developments. Interest will…

凝聚态物理 · 物理学 2015-06-25 A. J. Bray
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