메뉴 건너뛰기




Volumn 94, Issue 15, 2005, Pages

Fluctuation-regularized front propagation dynamics in reaction-diffusion systems

Author keywords

[No Author keywords available]

Indexed keywords

BULK PARTICLE DENSITY; CHEMICAL REACTION DYNAMICS; FRONT PROPAGATION DYNAMICS; REACTION DIFFUSION SYSTEMS;

EID: 18244390244     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.94.158302     Document Type: Article
Times cited : (17)

References (28)
  • 12
    • 0000982787 scopus 로고    scopus 로고
    • Experimental propagation against a gradient appears in D. Giller et al., Phys. Rev. B 63, 220502(R) (2001).
    • (2001) Phys. Rev. B , vol.63
    • Giller, D.1
  • 16
    • 18244378195 scopus 로고    scopus 로고
    • note
    • The minimum value of r is just there to ensure that the bulk remains stable for all x and plays no important role.
  • 17
    • 18244408210 scopus 로고    scopus 로고
    • note
    • The chemical context suggests the continuum limit of the absolute model; the Darwinian problem gives rise to the discrete-space version of the quasistatic problem.
  • 18
    • 18244390687 scopus 로고    scopus 로고
    • note
    • A/N gives Eq. (1). A dt small enough so that less than 10% of the A, B's at a site hop and/or react in one time step is sufficient; smaller values do not alter the results.
  • 19
    • 18244368933 scopus 로고
    • edited by P.L. Hennequin (Springer-Verlag, Berlin)
    • M. Freidlin, in Lecture Notes in Mathematics, edited by P.L. Hennequin (Springer-Verlag, Berlin, 1992), Vol. 1, p. 527.
    • (1992) Lecture Notes in Mathematics , vol.1 , pp. 527
    • Freidlin, M.1
  • 22
    • 18244377945 scopus 로고    scopus 로고
    • note
    • Choosing k = 0.3, independent of N does a remarkably good job at producing quantitatively accurate predictions of the ensemble-averaged stochastic dynamics. The fact that k ≠ 1 seems to account for the very slow approach for k = 1 to the expected asymptotic finite-N velocity correction in the Fisher equation found by Refs. [5,8].
  • 23
    • 18244390455 scopus 로고    scopus 로고
    • note
    • We assume φ(x, t) = φ(t - x/v), i.e., a discrete-space traveling wave [23], where the field at every lattice point recapitulates the behavior at the previous point with a time shift. We then changed from the continuous variable t̃ = t - x/v to x̃ ≡ -vt̃ and dropped the tildes.
  • 25
    • 0012711376 scopus 로고
    • L.I. Slepyan, Dokl. Akad. Nauk SSSR 258, 561 (1981) [Sov. Phys. Dokl. 26, 538 (1981)].
    • (1981) Sov. Phys. Dokl. , vol.26 , pp. 538
  • 26
    • 18244382519 scopus 로고    scopus 로고
    • note
    • 0 of O(1) and hence gives a constant velocity in the quasistatic approximation to the absolute gradient case. This breaks down at large times [25].
  • 27
    • 18244401589 scopus 로고    scopus 로고
    • E. Cohen, D.A. Kessler, and H. Levine (to be published)
    • E. Cohen, D.A. Kessler, and H. Levine (to be published).
  • 28
    • 18244398900 scopus 로고    scopus 로고
    • E. Cohen and D.A. Kessler, J. Math. Bio. [cond-mat/0301503 (to be published)]
    • E. Cohen and D.A. Kessler, J. Math. Bio. [cond-mat/0301503 (to be published)].


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.