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Volumn 69, Issue 1 2, 2004, Pages 161261-1612616

Field-theoretic approach to metastability in the contact process

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; FUNCTIONS; GRAPH THEORY; HAMILTONIANS; MARKOV PROCESSES; PERTURBATION TECHNIQUES; PHASE TRANSITIONS; PROBABILITY; RELAXATION PROCESSES; THERMODYNAMICS; VACUUM;

EID: 18344402512     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (7)

References (60)
  • 9
    • 1842526514 scopus 로고    scopus 로고
    • Lectures presented as part of the Troisième Cycle de la Suisse Romande
    • J. Cardy, Field Theory and Non-Equilibrium Statistical Mechanics (Lectures presented as part of the Troisième Cycle de la Suisse Romande, 1999), URL http://www-thphys.physics.ox.ac.uk/users/JohnCardy/notes.ps
    • (1999) Field Theory and Non-equilibrium Statistical Mechanics
    • Cardy, J.1
  • 15
    • 33645060432 scopus 로고    scopus 로고
    • note
    • More precisely, the probability that the plateau is reached tends to 1 as N → ∞ for any initial configuration with density ε>0.
  • 23
  • 29
    • 4244197634 scopus 로고    scopus 로고
    • Another possibility would be to follow the approach of F. van Wijland, Phys. Rev. E 63, 022101 (2001).
    • (2001) Phys. Rev. E , vol.63 , pp. 022101
    • Van Wijland, F.1
  • 34
    • 33645084741 scopus 로고    scopus 로고
    • note
    • ̌ is, in this respect, a better "elementary" operator. Furthermore, we will see that the expectation values of the other elementary operators evaluated with this choice will be consistent.
  • 35
    • 33645091174 scopus 로고    scopus 로고
    • note
    • ̌′.
  • 36
    • 33645066056 scopus 로고    scopus 로고
    • note
    • i(t).
  • 39
    • 33645094604 scopus 로고    scopus 로고
    • note
    • MF.
  • 40
    • 33645087086 scopus 로고    scopus 로고
    • note
    • →.
  • 45
    • 33645068550 scopus 로고    scopus 로고
    • note
    • Notice that the condition |ψ|≪1 demands that the density φ stays close to its equilibrium value φ*, and thus T is essentially density independent and equal to T( φ*).
  • 46
    • 33645092097 scopus 로고    scopus 로고
    • note
    • ̌ operator. The combinatorial factor of the undirected diagram is the same for all families (thus the order in 1/z is well defined for the diagram) but the number of ways to associate times to links may differ.
  • 54
    • 33645062889 scopus 로고    scopus 로고
    • note
    • z was restricted to smaller values in the latter case because simulations on the Cayley tree require a slightly more complex computer program to manage the locations of the particles.
  • 60
    • 33645088150 scopus 로고    scopus 로고
    • Springer-Verlag, Berlin
    • Interestingly, the instantonic field ψ was implicitly present in the annealed calculation of Refs. [56,57]; see R. Monasson, Complex Networks (Springer-Verlag, Berlin, 2003), for a discussion of this point.
    • (2003) Complex Networks
    • Monasson, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.