Phase ordering of two-dimensional XY systems below the Kosterlitz-Thouless transition temperature.
Phase ordering of two-dimensional XY systems below the Kosterlitz-Thouless transition temperature.
复制标题
二维 XY 系统在 Kosterlitz-Thouless 转变温度以下的相序。
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
Bray
中科院分区：
文献类型：
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作者：
Rutenberg;Bray
We consider quenches in nonconserved two-dimensional XY systems between any two temperatures below the Kosterlitz-Thouless transition. The evolving systems are defect free at coarse-grained scales, and can be exactly treated. Correlations scale with a characteristic length L(t)ensuremath{propto}${mathit{t}}^{1/2}$ at late times. The autocorrelation decay exponent, ensuremath{lambda}ifmmodearelse extasciimacronfi{}=(${mathrm{ensuremath{eta}}}_{mathit{i}}$+${mathrm{ensuremath{eta}}}_{mathit{f}}$)/2, depends on both the initial and the final state of the quench through the respective decay exponents of equilibrium correlations, ${mathit{C}}_{mathit{eq}}$(r)ensuremath{sim}${mathit{r}}^{mathrm{ensuremath{-}}mathrm{ensuremath{eta}}}$. We also discuss time-dependent quenches.
We consider quenches in nonconserved two-dimensional XY systems between any two temperatures below the Kosterlitz-Thouless transition. The evolving systems are defect free at coarse-grained scales, and can be exactly treated. Correlations scale with a characteristic length L(t)ensuremath{propto}${mathit{t}}^{1/2}$ at late times. The autocorrelation decay exponent, ensuremath{lambda}ifmmodearelse extasciimacronfi{}=(${mathrm{ensuremath{eta}}}_{mathit{i}}$+${mathrm{ensuremath{eta}}}_{mathit{f}}$)/2, depends on both the initial and the final state of the quench through the respective decay exponents of equilibrium correlations, ${mathit{C}}_{mathit{eq}}$(r)ensuremath{sim}${mathit{r}}^{mathrm{ensuremath{-}}mathrm{ensuremath{eta}}}$. We also discuss time-dependent quenches.