阻挫系统的对称性破缺：耦合效应引起的有效涨落谱
Symmetry breaking in frustrated systems: effective fluctuation spectrum due to coupling effects
摘要：
研究了具有各向同性长程排斥作用的d维Ginzburg-Landau哈密顿量的Langevin动力学。我们表明，一旦对称性被打破，有一个耦合的平均值的本地场和它的波动，产生各向异性的有效波动谱。这种各向异性有许多有趣的动力学后果。在无限的时间限制，静态的结果可以恢复与众所周知的Brazovskii的过渡到一个状态与调制顺序。我们的研究表明，调制的解决方案出现连续的d = 3相反，在通常的方法忽略模式的耦合，而d < 3的过渡仍然是不连续的。位置和取向的序参量的分析结果也得到了解释的背景下，最近的讨论。
英文摘要：
We study the Langevin dynamics of a d-dimensional Ginzburg-Landau Hamiltonian with isotropic long range repulsive interactions. We show that, once the symmetry is broken, there is a coupling between the mean value of the local field and its fluctuations, generating an anisotropic effective fluctuation spectrum. This anisotropy has many interesting dynamical consequences. In the infinite time limit, static results are recovered which can be compared with the well known Brazovskii's transition to a state with modulated order. Our study reveals that the modulated solution appears continuously in d = 3 contrary to what is found in the usual approach neglecting coupling of modes, while for d < 3 transitions are still discontinuous. Analytical results for positional and orientational order parameters are also obtained and interpreted in the context of recent discussions.
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