Condensation in the inhomogeneous zero-range process: an interplay between interaction and diffusion disorder
Condensation in the inhomogeneous zero-range process: an interplay between interaction and diffusion disorder
复制标题
非均匀零程过程中的凝聚：相互作用与扩散无序之间的相互作用
DOI：
10.1088/1742-5468/2012/12/p12013
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
J. Luck
中科院分区：
文献类型：
--
作者：
C. Godrèche;J. Luck
分析了现场相互作用和非均匀扩散的相互作用对零程过程中凝结现象的影响。我们在两个指数平面上预测了一个通用相图，分别表征了相互作用和扩散无序。最突出的结果是存在一个扩展的凝聚相。在后一阶段，由于足够强的相互作用和足够弱的无序的综合作用，一个典型的高密度结构在一个临界背景的顶部有一个独特的凝析物，但凝析物可能位于一个大的托管集的任何位置，其大小增长得次广泛。因此，新的扩展凝聚相连续地插入到迄今为止与凝聚转变相关的两种情况之间，即自发对称破缺和显式对称破缺。
We analyze the role of the interplay between on-site interaction and inhomogeneous diffusion on the phenomenon of condensation in the zero-range process. We predict a universal phase diagram in the plane of two exponents, respectively characterizing the interactions and the diffusion disorder. The most prominent outcome is the existence of an extended condensed phase. In the latter phase, which originates as a result of the combined effects of strong enough interaction and weak enough disorder, a typical high-density configuration has a unique condensate on top of a critical background, but the condensate may be located at any site of a large hosting set of favored sites, whose size grows sub-extensively. The novel extended condensed phase thus interpolates continuously between the two scenarios associated so far with the condensation transition, namely spontaneous symmetry breaking and explicit symmetry breaking.