具有长程和短程竞争作用的二维自旋系统的非平衡结构和慢动力学
Non-equilibrium structures and slow dynamics in a two dimensional spin system with competitive long range and short range interactions
摘要：
我们引入了一个晶格自旋模型，通过一个短程排斥势和一个长程吸引幂律衰减势来模拟相互作用粒子系统。我们对有限温度下该模型的一般平衡相图进行了详细的分析，表明唯一可能的平衡相是铁磁相和反铁磁相。然后，我们研究了非平衡行为的模型淬火后，亚临界温度，在反铁磁区域的相图区域，在那里的对相互作用势的行为在相同的定性方式作为一个Lennard-Jones气体。我们发现，即使在没有淬火无序或几何挫折，相互作用之间的竞争引起的非平衡无序结构在足够低的温度下，强烈减慢系统的松弛。
英文摘要：
We introduce a lattice spin model that mimics a system of interacting particle through a short range repulsive potential and a long range attractive power law decaying potential. We performed a detailed analysis of the general equilibrium phase diagram of the model at finite temperature, showing that the only possible equilibrium pases are the ferromagnetic and the antiferromagnetic ones. We then studied the non equilibrium behavior of the model after a quench to subcritical temperatures, in the antiferromagnetic region of the phase diagram region, where the pair interaction potential behaves in the same qualitative way as in a Lennard-Jones gas. We found that, even in the absence of quenched disorder or geometric frustration, the competition between interactions gives rise to non--equilibrium disordered structures at low enough temperatures that strongly slow down the relaxation of the system.
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