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Mean-field theory of the glass transition in the one-component classical plasma

机译：单组分经典等离子体中玻璃化转变的平均场理论

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We study the supercooled-fluid region and the transition to an amorphous glassy state in the one-component classical plasma, within the replica-symmetry-breaking scenario developed by Franz and Parisi. This approach implements the slowing down of jumps of the disordered system between the minima in a rugged free-energy landscape by examining its correlations with a quenched replica as a function of their coupling expressed through a suitable short-range attractive potential. We carry out these calculations within a mean-field theory for the structure of a quenched-annealed mixture, using both the hypernetted chain approximation and a refinement to include an account of the bridge function. In both formulations our theoretical results demonstrate the existence of a glassy state for the plasma and yield an estimate of the phase-transition line, which has the form T proportional to Z(2)n(1/3) where n is the particle number density, T the temperature and Z the valence, with a numerical coefficient which is about one eighth of that for equilibrium freezing. The consequences for various types of ionic fluids (simple molten salts, colloidal dispersions, and astrophysical plasmas) are illustrated. (C) 2004 Elsevier B.V. All rights reserved.
机译：我们研究了在Franz和Parisi开发的打破对称性复制的情况下，单组分经典等离子体中的过冷流体区域以及向非晶态玻璃态的过渡。这种方法通过检查其与淬灭复制品的相关性（作为通过合适的短时吸引势表达的耦合函数的函数），来实现崎free的自由能景观中极小值之间无序系统跳跃的减缓。我们在平均场理论中对淬火退火混合物的结构进行了这些计算，同时使用了超网状链逼近法和精炼方法来考虑桥函数。在这两种公式中，我们的理论结果都表明等离子体存在玻璃态，并得出相变线的估计值，该相变线的形式T与Z（2）n（1/3）成比例，其中n是粒子数密度，T为温度，Z为化合价，其数值系数约为平衡冻结系数的八分之一。说明了各种类型的离子流体（简单的熔融盐，胶体分散体和天体等离子体）的后果。 （C）2004 Elsevier B.V.保留所有权利。

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