守恒扩散接触过程中的相变
Phase transition in conservative diffusive contact processes
摘要：
通过数值模拟，我们确定了守恒扩散接触过程的相图。这些模型是普通的扩散单创建，对创建和三重创建接触过程中的粒子数是保守的版本。通过研究亚临界状态下的系统和过渡的性质，无论是连续的还是一阶的，通过观察临界簇的分形维数来确定冷冻和活性状态之间的过渡。对于单次生成模型，过渡对于任何扩散速率都保持连续。然而，对于对和三重态产生模型，过渡成为一阶足够高的扩散速率。我们的结果表明，在无限扩散率的限制下，密度跳跃为2/3的对创建模型和5/6的三重态创建模型。
英文摘要：
We determine the phase diagrams of conservative diffusive contact processes by means of numerical simulations. These models are versions of the ordinary diffusive single-creation, pair-creation and triplet-creation contact processes in which the particle number is conserved. The transition between the frozen and active states was determined by studying the system in the subcritical regime and the nature of the transition, whether continuous or first order, was determined by looking at the fractal dimension of the critical cluster. For the single-creation model the transition remains continuous for any diffusion rate. For pair- and triplet-creation models, however, the transition becomes first order for high enough diffusion rate. Our results indicate that in the limit of infinite diffusion rate the jump in density equals 2/3 for the pair-creation model and 5/6 for the triplet-creation model.
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