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Volumn 57, Issue 2, 1998, Pages 1377-1383

Nature of different types of absorbing states

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[No Author keywords available]

Indexed keywords


EID: 0038199034     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.1377     Document Type: Article
Times cited : (67)

References (45)
  • 9
    • 85037198052 scopus 로고    scopus 로고
    • Percolation Structures and Processes, edited by G. Deutscher, R. Zallen, and J. Adler, Annals of the Israel Physical Society Vol. 5 (Adam Hilger, Bristol, 1983)
    • Percolation Structures and Processes, edited by G. Deutscher, R. Zallen, and J. Adler, Annals of the Israel Physical Society Vol. 5 (Adam Hilger, Bristol, 1983).
  • 22
    • 85037240111 scopus 로고    scopus 로고
    • An equivalent, and probably less confusing, way to write down the Langevin equation for the REF-FULLTEXT consists of omitting the square root of the [Formula Presented] term in it and substituting [Formula Presented] by [Formula Presented] in the noise correlator
    • An equivalent, and probably less confusing, way to write down the Langevin equation for the REF-FULLTEXT consists of omitting the square root of the n term in it and substituting D by Dn(x, t) in the noise correlator.
  • 31
    • 24144461458 scopus 로고
    • When a Fock-space formalism is employed to derive Eq. (2) from the master equation defining the process [Formula Presented], [Formula Presented], the [Formula Presented] are found to be related to coherent states. Alternatively, Eq. (2) can be obtained from the master equation by performing a Poissonian transformation (see Sec. I C); in this language the [Formula Presented] field in the conjugate field of the number of particles. It has been proved that both formalisms, i.e., the Fock-space and the Poissonian transformation, are rigorously equivalent and that the results obtained using any of them can be exactly translated into the other [see, JPHAC5
    • When a Fock-space formalism is employed to derive Eq. (2) from the master equation defining the process A+A→0, the n(x, t) are found to be related to coherent states. Alternatively, Eq. (2) can be obtained from the master equation by performing a Poissonian transformation (see Sec. I C); in this language the n field in the conjugate field of the number of particles. It has been proved that both formalisms, i.e., the Fock-space and the Poissonian transformation, are rigorously equivalent and that the results obtained using any of them can be exactly translated into the other [see M. Droz and A. McKane, J. Phys. A 27, L467 (1994)].
    • (1994) J. Phys. A , vol.27
    • Droz, M.1    McKane, A.2
  • 35
    • 85037236258 scopus 로고    scopus 로고
    • e-print cond-mat/9702217
    • M. A. Muñoz and T. Hwa, e-print cond-mat/9702217.
    • Muñoz, M.A.1    Hwa, T.2
  • 41
    • 85037240184 scopus 로고    scopus 로고
    • See also C. W. Gardiner, Handbook of Stochastic Methods (Springer-Verlag, Berlin, 1985)
    • See also C. W. Gardiner, Handbook of Stochastic Methods (Springer-Verlag, Berlin, 1985).
  • 42
    • 85037193060 scopus 로고    scopus 로고
    • The condition that the boundary terms give a vanishing contribution to the integral has to be verified a posteriori to get a self-consistent derivation
    • The condition that the boundary terms give a vanishing contribution to the integral has to be verified a posteriori to get a self-consistent derivation.
  • 43
    • 85037249673 scopus 로고    scopus 로고
    • Langevin equations describing the annihilation process in terms of real variables have already appeared in the literature; see c11 and references therein
    • Langevin equations describing the annihilation process in terms of real variables have already appeared in the literature; see 11 and references therein.
  • 45
    • 36149034024 scopus 로고
    • B. Lee, J. Phys. A 27, 2633 (1994). JPHAC5
    • (1994) J. Phys. A , vol.27 , pp. 2633
    • Lee, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.