Passive Advection in a Percolation Process: Two-Loop Approximation

被引：1

作者：

Birnsteinova, S. ^{[1
]}

Hnatic, M. ^{[1
,2
,3
]}

Lucivjansky, T. ^{[1
]}

Mizisin, L. ^{[2
,3
]}

Skultety, V. ^{[4
]}

机构：

[1] Pavol Jozef Safarik Univ Kosice, Kosice, Slovakia

[2] Joint Inst Nucl Res, Dubna, Moscow Oblast, Russia

[3] Slovak Acad Sci, Inst Expt Phys, Kosice, Slovakia

[4] Univ Edinburgh, Scottish Univ Phys Alliance, Edinburgh, Midlothian, Scotland

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2019年 / 200卷 / 03期

关键词：

directed percolation; renormalization group; multiloop Feynman diagram; DIRECTED PERCOLATION; PHASE-TRANSITIONS; FIELD-THEORY; TURBULENCE; DYNAMICS;

D O I：

10.1134/S0040577919090071

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study an instructive model of the directed percolation process near its second-order phase transition between absorbing and active states. We first express the model as a Langevin equation and then rewrite it in a field theory formulation. Using the Feynman diagram technique and the perturbative renormalization group method, we then analyze the resulting response functional. The percolation process is assumed to occur in an external velocity field, which has an additional effect on the properties of spreading. We use the Kraichnan rapid-change ensemble to generate velocity fluctuations. We obtain the structure of the set of fixed points in the two-loop approximation.

引用

页码：1335 / 1347

页数：13

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