arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2009.11202cond-mat.soft
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二维非晶格系统中畴生长和老化的动力学

Kinetics of Domain Growth and Aging in a Two-Dimensional Off-lattice System

Jiarul Midya, Subir K. Das

摘要:

我们使用分子动力学模拟对二维单组分非晶格模型中的相分离进行了全面研究,其中粒子通过Lennard-Jones势相互作用。通过国家的最先进的方法,我们分析了模拟数据的结构,增长和老化的非平衡演化模型。这些数据得到淬火后的平衡良好的均匀配置,密度接近临界值,到各种温度内的可渗透性差距,具有蒸汽-“液体”以及蒸汽-“固体”共存。对于汽-液相分离,我们观察到$\ell$,即平均畴长,随时间($t$)增长为$t^{1/2}$,这是一种与流体力学有关的行为。在足够低的温度下,在我们的模拟的时间尺度内确定了这种时间依赖性到慢得多的温度依赖性生长的急剧交叉,这意味着高密度相的“固体”状最终状态。有趣的是,这种交叉伴随着两种情况之间在域形态和其他结构方面的强烈差异。对于老化,我们已经提出了结果的顺序参数自相关函数。该量表现出相对于$\ell/\ell_w$的数据崩溃,$\ell$和$\ell_w$分别是在时间$t$和$t_w$($\leq t$)的平均域长度,后者是系统的年龄。相应的标度函数遵循幂律衰减:对于$t\gg t_w$,为$~\sim (\ell/\ell_w)^{-λ}$。衰减指数$λ$,汽-液的情况下,准确地估计通过应用先进的有限尺寸标度法。观察到所获得的值满足一个界限。

英文摘要:

We have used molecular dynamics simulations for a comprehensive study of phase separation in a two-dimensional single component off-lattice model where particles interact through the Lennard-Jones potential. Via state-of-the-art methods we have analyzed simulation data on structure, growth and aging for nonequilibrium evolutions in the model. These data were obtained following quenches of well-equilibrated homogeneous configurations, with density close to the critical value, to various temperatures inside the miscibility gap, having vapor-"liquid" as well as vapor-"solid" coexistence. For the vapor-liquid phase separation we observe that $\ell$, the average domain length, grows with time ($t$) as $t^{1/2}$, a behavior that has connection with hydrodynamics. At low enough temperature, a sharp crossover of this time dependence to a much slower, temperature dependent, growth is identified within the time scale of our simulations, implying "solid"-like final state of the high density phase. This crossover is, interestingly, accompanied by strong differences in domain morphology and other structural aspects between the two situations. For aging, we have presented results for the order-parameter autocorrelation function. This quantity exhibits data-collapse with respect to $\ell/\ell_w$, $\ell$ and $\ell_w$ being the average domain lengths at times $t$ and $t_w$ ($\leq t$), respectively, the latter being the age of a system. Corresponding scaling function follows a power-law decay: $~\sim (\ell/\ell_w)^{-λ}$, for $t\gg t_w$. The decay exponent $λ$, for the vapor-liquid case, is accurately estimated via the application of an advanced finite-size scaling method. The obtained value is observed to satisfy a bound.

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