메뉴 건너뛰기




Volumn 99, Issue 1-2, 2000, Pages 57-113

On the effect of stochastic fluctuations in the dynamics of the Lifshitz-Slyozov-Wagner model

Author keywords

Intermediate asymptotics; Ostwald ripening; Self similar solutions; Stochastic fluctuations

Indexed keywords


EID: 0034339804     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1018640505926     Document Type: Article
Times cited : (12)

References (19)
  • 1
    • 0033245857 scopus 로고    scopus 로고
    • The equation of Ostwald ripening for dilute systems
    • N. Alikakos and G. Fusco, The equation of Ostwald ripening for dilute systems, J. Stat. Phys. 95:851-866 (1999).
    • (1999) J. Stat. Phys. , vol.95 , pp. 851-866
    • Alikakos, N.1    Fusco, G.2
  • 2
    • 0002133391 scopus 로고
    • A numerical scheme for the two phase Mullins Sekerka problem
    • P. W. Bates, X. Chen, and X. Deng, A numerical scheme for the two phase Mullins Sekerka problem, Electronic J. Diff. Eq. 11:1-28 (1995).
    • (1995) Electronic J. Diff. Eq. , vol.11 , pp. 1-28
    • Bates, P.W.1    Chen, X.2    Deng, X.3
  • 3
    • 0002121327 scopus 로고
    • Stochastic problems in physics and astronomy
    • S. Chandrasekhar, Stochastic problems in physics and astronomy, Rev. Mod. Phys. 15:1 (1943), 1-87. Reprinted in Selected Noise and Stochastic Processes, N. Wax, ed. (Dover Publications, 1954).
    • (1943) Rev. Mod. Phys. , vol.15 , pp. 1
    • Chandrasekhar, S.1
  • 4
    • 85204057572 scopus 로고
    • N. Wax, ed. Dover Publications
    • S. Chandrasekhar, Stochastic problems in physics and astronomy, Rev. Mod. Phys. 15:1 (1943), 1-87. Reprinted in Selected Noise and Stochastic Processes, N. Wax, ed. (Dover Publications, 1954).
    • (1954) Selected Noise and Stochastic Processes , pp. 1-87
  • 6
    • 33646109512 scopus 로고
    • Kinetics of precipitation from supersaturated solid solutions
    • I. M. Lifshitz and V. V. Slyozov, Kinetics of precipitation from supersaturated solid solutions, J. Phys. Chem. Sol. 19:35-50 (1961).
    • (1961) J. Phys. Chem. Sol. , vol.19 , pp. 35-50
    • Lifshitz, I.M.1    Slyozov, V.V.2
  • 7
    • 4243809795 scopus 로고    scopus 로고
    • Statistical simulations of diffusional coarsening in finite clusters
    • H. Mandyam, M. E. Gliscksman, J. Helsing, and S. P. Marsh, Statistical simulations of diffusional coarsening in finite clusters, Phys. Rev. E 58:2 (1998).
    • (1998) Phys. Rev. E , vol.58 , pp. 2
    • Mandyam, H.1    Gliscksman, M.E.2    Helsing, J.3    Marsh, S.P.4
  • 9
    • 85204087220 scopus 로고    scopus 로고
    • B. Niethammer and R. L. Pego, On the initial value problem in the Lifshitz Slyozov theory of Ostwald ripening, SKB 256 Preprint 549, (1998), To appear in SIAM J. Math. Anal.
    • SIAM J. Math. Anal.
  • 10
    • 0033245858 scopus 로고    scopus 로고
    • Non self-similar behaviour in the LSW theory of Ostwald ripening
    • B. Niethammer and R. L. Pego, Non self-similar behaviour in the LSW theory of Ostwald ripening, J. Stat. Phys. 95:867-902 (1999).
    • (1999) J. Stat. Phys. , vol.95 , pp. 867-902
    • Niethammer, B.1    Pego, R.L.2
  • 11
    • 0033426406 scopus 로고    scopus 로고
    • Derivation of the LSW-Theory for Ostwald ripening by homogenization methods
    • B. Niethammer, Derivation of the LSW-Theory for Ostwald ripening by homogenization methods, Arch. Rat. Mech. Anal. 147:119-178 (1999).
    • (1999) Arch. Rat. Mech. Anal. , vol.147 , pp. 119-178
    • Niethammer, B.1
  • 13
    • 0031256457 scopus 로고    scopus 로고
    • The Becker-Döring equations at large times and their connection with the LSW theory of coarsening
    • O. Penrose, The Becker-Döring equations at large times and their connection with the LSW theory of coarsening, J. Stat. Phys. 89:305-320 (1997).
    • (1997) J. Stat. Phys. , vol.89 , pp. 305-320
    • Penrose, O.1
  • 15
    • 0040040086 scopus 로고    scopus 로고
    • The Becker Döring equations and the Lifshitz Slyozov theory
    • J. J. L. Velázquez, The Becker Döring equations and the Lifshitz Slyozov theory, J. Stat. Phys. 92:195 (1998).
    • (1998) J. Stat. Phys. , vol.92 , pp. 195
    • Velázquez, J.J.L.1
  • 16
    • 2842597271 scopus 로고
    • The theory of Ostwald ripening
    • P. W. Voorhees, The theory of Ostwald ripening, J. Stat. Phys. 38:231 (1985).
    • (1985) J. Stat. Phys. , vol.38 , pp. 231
    • Voorhees, P.W.1
  • 17
    • 0000080499 scopus 로고
    • Ostwald ripening of two-phase mixtures
    • P. W. Voorhees, Ostwald ripening of two-phase mixtures, Ann. Rev. Mater. Sci. 22: 197-215 (1992).
    • (1992) Ann. Rev. Mater. Sci. , vol.22 , pp. 197-215
    • Voorhees, P.W.1
  • 18
    • 0001333772 scopus 로고
    • Theorie der alterung von niederschlägen durch umlösen
    • C. Wagner, Theorie der Alterung von Niederschlägen durch Umlösen, Z. Elektrochem. 65:581-594 (1961).
    • (1961) Z. Elektrochem. , vol.65 , pp. 581-594
    • Wagner, C.1
  • 19
    • 0030239613 scopus 로고    scopus 로고
    • An efficient boundary integral method for the Mullins Sekerka problem
    • J. Zhu, X. Chen, and T. Y. Hou, An efficient boundary integral method for the Mullins Sekerka problem, J. Comp. Phys. 127:246-267 (1996).
    • (1996) J. Comp. Phys. , vol.127 , pp. 246-267
    • Zhu, J.1    Chen, X.2    Hou, T.Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.