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Volumn 69, Issue 1 1, 2004, Pages 111061-1110616

Application of Bogolyubov's theory of weakly nonideal Bose gases to the A+A, A+B, B+B reaction-diffusion system

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; CRYSTAL LATTICES; HAMILTONIANS; INTEGRATION; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; RANDOM PROCESSES; REACTION KINETICS;

EID: 1842531862     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (7)

References (30)
  • 4
    • 0011436032 scopus 로고    scopus 로고
    • edited by R.G. Compton and G. Hancock, Modern Aspects of Diffusion-Controlled Reactions (Elsevier, New York)
    • E. Kotomin and V. Kuzovkov, in Comprehensive Chemical Kinetics, edited by R.G. Compton and G. Hancock, Modern Aspects of Diffusion-Controlled Reactions Vol. 34 (Elsevier, New York, 1996).
    • (1996) Comprehensive Chemical Kinetics , vol.34
    • Kotomin, E.1    Kuzovkov, V.2
  • 7
    • 33645068356 scopus 로고    scopus 로고
    • J. Cardy, e-print cond-mat/9607163
    • J. Cardy, e-print cond-mat/9607163.
  • 10
    • 33645074843 scopus 로고
    • For original work on weakly nonideal Bose gases please see N.N. Bogolybov, Izv. Akad. Nauk SSSR, Ser. Fiz. II, 77 (1974); Lectures on Quantum Statistics (Gordon and Breach, New York, 1967), pp. 107-119.
    • (1974) Izv. Akad. Nauk SSSR, Ser. Fiz. , vol.2 , pp. 77
    • Bogolybov, N.N.1
  • 11
    • 0003809076 scopus 로고
    • Gordon and Breach, New York
    • For original work on weakly nonideal Bose gases please see N.N. Bogolybov, Izv. Akad. Nauk SSSR, Ser. Fiz. II, 77 (1974); Lectures on Quantum Statistics (Gordon and Breach, New York, 1967), pp. 107-119.
    • (1967) Lectures on Quantum Statistics , pp. 107-119
  • 12
  • 16
    • 33645082586 scopus 로고    scopus 로고
    • note
    • The initial state of the system was prepared by allowing for birth and annihilation of particles and waiting long enough to establish the stationary state. Once this stationary state was reached, particle birth ceased and the system continued to evolve by annihilation process solely.
  • 17
    • 33645083110 scopus 로고    scopus 로고
    • note
    • For example, one way to prepare the system initially is to take a given number of particles and distribute them randomly one by one on the lattice. This way of preparation leads to a Poisson distribution of the particle number at each lattice site. Also, it is clear that preparing the system in this way does not lead to correlation among particles. Thus, saying that particles are distributed according to Poisson distribution amounts to saying that there are no correlations among them.
  • 22
    • 33645088346 scopus 로고    scopus 로고
    • note
    • In Ref. [20] Eq. (43) of this work is listed as Eq. (54), and appears in a slightly different form. Also, there is a typographical error in the original equation.
  • 23
    • 33645086063 scopus 로고    scopus 로고
    • note
    • k3〉.
  • 24
    • 33645047326 scopus 로고    scopus 로고
    • note
    • 3) appears in Eq. (56) as an artifact of that.
  • 26
    • 33645074594 scopus 로고    scopus 로고
    • note
    • 0 (given that systems are observed below critical dimension, naturally).
  • 28
    • 0034248622 scopus 로고    scopus 로고
    • S.A. Janowsky and J.L. Lebowitz, J. Stat. Phys. 77, 35 (1994); S. Kwon, J. Lee, and H. Park, Phys. Rev. Lett. 85, 1682 (2000).
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 1682
    • Kwon, S.1    Lee, J.2    Park, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.