稳态驱动碰撞蒸发凝聚的普适性
Universality properties of steady driven coagulation with collisional evaporation
摘要:
不可逆聚合是一个典型的例子,一个系统驱动远离平衡的源和汇的守恒量(质量)。源是单体的稳定输入,并且具有小概率的碰撞粒子的蒸发是汇。使用精确的和启发式的分析,我们发现一个普遍的制度和两个不同的非普遍制度区分的相对重要性之间的合并小颗粒和大颗粒。在两个区域之间的边界处,我们发现了Kraichnan对二维湍流所作的对数修正的类似物。
英文摘要:
Irreversible aggregation is an archetypal example of a system driven far from equilibrium by sources and sinks of a conserved quantity (mass). The source is a steady input of monomers and the evaporation of colliding particles with a small probability is the sink. Using exact and heuristic analyses, we find a universal regime and two distinct non-universal regimes distinguished by the relative importance of mergers between small and large particles. At the boundary between the regimes we find an analogue of the logarithmic correction conjectured by Kraichnan for two-dimensional turbulence.
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