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Volumn 70, Issue 5 2, 2004, Pages

Pair contact process with diffusion: Failure of master equation field theory

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; DIFFERENTIAL EQUATIONS; DIFFUSION; ELECTRIC CONTACTS; ELECTRIC FIELDS; FUNCTIONS; RANDOM PROCESSES; THERMODYNAMICS;

EID: 41349090791     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.056114     Document Type: Article
Times cited : (33)

References (43)
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    • note
    • The equilibrium theory of classical antiferromagnets might provide a useful analogy here: A "naive" continuum limit of the Ising or Heisenberg models directly leads to an action that contains only the local magnetization. In order to describe the physics correctly in terms of an appropriate effective coarsegrained theory, one must first introduce the staggered magnetization as the suitable order parameter, and only then carefully proceed with the continuum limit.
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    • note
    • Implementing the exclusion constraint for the diffusion term as well merely adds irrelevant contributions to the actions (3) and (7).
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    • note
    • Since we retain all powers of Ø, subsequent computations are equivalently carried out in either the shifted or unshifted actions. We have confirmed this through explicit calculations.
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    • note
    • Remarkably, an identical two-loop result is found for the anomalous dimension of the branching rate in BAWs with m = 2 [5], albeit based on Feynman diagrams with inverted time arrows.
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    • (private communication)
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    • note
    • Indeed, even the nonperturbative exact RG approach leads precisely to the functional RG flow equation (15), and consequently to the fixed-point function (17).
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    • J. Kockelkoren and H. Chaté, e-print cond-mat/0306039
    • J. Kockelkoren and H. Chaté, e-print cond-mat/0306039.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.