Renormalized field theory of the Gribov process with quenched disorder

被引：78

作者：

Janssen, HK

机构：

[1] Institut für Theoretische Physik III, Heinrich-Heine-Universität, Düsseldorf

来源：

PHYSICAL REVIEW E | 1997年 / 55卷 / 05期

关键词：

DIRECTED PERCOLATION; PHASE-TRANSITIONS; CELLULAR AUTOMATA; CRITICAL DYNAMICS; SYSTEMS;

D O I：

10.1103/PhysRevE.55.6253

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Using field theory, I show that the renormalization-group flow of the Gribov process (Reggeon field theory or directed percolation) equipped with quenched randomness does not reach a stable fixed point, and has only runaway solutions in the physical domain. This result supports recent findings of Moreira and Dickman from Monte Carlo simulations of the two-dimensional contact process with random dilution, namely, logarithmic critical spreading and no power laws.

引用

页码：6253 / 6256

页数：4

共 30 条

[1]

Amit D.J., 2005, Field Theory, the Renormalization Group, and Critical Phenomena: Graphs to Computers

[2] RENORMALIZED FIELD-THEORY OF CRITICAL DYNAMICS [J].

BAUSCH, R ;

JANSSEN, HK ;

WAGNER, H .

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1976, 24 (01) :113-127

[3]

Broadbent S. R., 1957, MATH PROC CAMBRIDGE, V53, P629, DOI [DOI 10.1017/S0305004100032680, 10.1017/S0305004100032680]

[4]

Cardy J L, 1980, J PHYS A, V13, pL123

[5]

De Dominicis C., 1976, J. Phys. (Paris) Colloque C1, V37, pC1, DOI 10.1051/jphyscol:1976138

[6] FIELD-THEORY RENORMALIZATION AND CRITICAL DYNAMICS ABOVE T - HELIUM, ANTI-FERROMAGNETS, AND LIQUID-GAS SYSTEMS [J].

DEDOMINICIS, C ;

PELITI, L .

PHYSICAL REVIEW B, 1978, 18 (01) :353-376

[7] DYNAMICS AS A SUBSTITUTE FOR REPLICAS IN SYSTEMS WITH QUENCHED RANDOM IMPURITIES [J].

DEDOMINICIS, C .

PHYSICAL REVIEW B, 1978, 18 (09) :4913-4919

[8] REGGEON FIELD-THEORY (SCHLOGL 1ST MODEL) ON A LATTICE - MONTE-CARLO CALCULATIONS OF CRITICAL BEHAVIOR [J].

GRASSBERGER, P ;

DELATORRE, A .

ANNALS OF PHYSICS, 1979, 122 (02) :373-396

[9] REGGEON FIELD-THEORY AND MARKOV-PROCESSES [J].

GRASSBERGER, P ;

SUNDERMEYER, K .

PHYSICS LETTERS B, 1978, 77 (02) :220-222

[10] ON PHASE-TRANSITIONS IN SCHLOGL 2ND MODEL [J].

GRASSBERGER, P .

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1982, 47 (04) :365-374

← 1 2 3 →