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Volumn 93, Issue 5-6, 1998, Pages 1051-1110

Metastability for the exclusion process with mean-field interaction

Author keywords

Exclusion processes; Freidlin Wentzell theory; Large deviations; Mean field interaction; Metastability; Nonlocal evolution equation; Phase segregation models

Indexed keywords


EID: 0032264667     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/b:joss.0000033153.16878.b0     Document Type: Article
Times cited : (9)

References (21)
  • 1
    • 22044455559 scopus 로고    scopus 로고
    • Stability of a front for a non local conservation law
    • to appear
    • A. Asselah, Stability of a front for a non local conservation law to appear in Proc. Roy. Soc. of Edinburgh (1998).
    • (1998) Proc. Roy. Soc. of Edinburgh
    • Asselah, A.1
  • 5
    • 0039424042 scopus 로고
    • Glauber evolution with Kac potentials: I. Mesoscopic amd macroscopic limits, interface dynamics
    • A. De Masi, E. Orlandi, E. Presutti, and L. Triolo, Glauber Evolution with Kac potentials: I. Mesoscopic amd macroscopic limits, interface dynamics, Nonlinearity 7:633-696 (1994).
    • (1994) Nonlinearity , vol.7 , pp. 633-696
    • De Masi, A.1    Orlandi, E.2    Presutti, E.3    Triolo, L.4
  • 9
    • 0542374369 scopus 로고
    • On the van der Waals theory of the vaporliquid equilibrium, I. Discussion of a one-dimensional model
    • M. Kac, G. E. Uhlenbeck, and P. C. Hammer, On the van der Waals theory of the vaporliquid equilibrium, I. Discussion of a one-dimensional model, J. Math. Phys. 4:216-228 (1963).
    • (1963) J. Math. Phys. , vol.4 , pp. 216-228
    • Kac, M.1    Uhlenbeck, G.E.2    Hammer, P.C.3
  • 10
    • 0031116136 scopus 로고    scopus 로고
    • Phase segregation dynamics in particle systems with long range interactions I: Macroscopic limits
    • G. Giacomin and J. L. Lebowitz, Phase segregation dynamics in particle systems with long range interactions I: Macroscopic limits. J. Stat. Phys. 87:37-61 (1997).
    • (1997) J. Stat. Phys. , vol.87 , pp. 37-61
    • Giacomin, G.1    Lebowitz, J.L.2
  • 11
    • 0032291814 scopus 로고    scopus 로고
    • Phase segregation dynamics in particle systems with long range interactions II: Interface motion
    • to appear
    • G. Giacomin and J. L. Lebowitz, Phase segregation dynamics in particle systems with long range interactions II: Interface motion, SIAM J. Appl. Math., to appear.
    • SIAM J. Appl. Math.
    • Giacomin, G.1    Lebowitz, J.L.2
  • 12
    • 0039443348 scopus 로고    scopus 로고
    • Deterministic and stochastic hydrodynamic equations arising from simple microscopic model systems
    • AMS, to appear
    • G. Giacomin, J. L. Lebowitz, and E. Presutti, Deterministic and stochastic hydrodynamic equations arising from simple microscopic model systems, in Six Perspectives on Stochastic PDEs, AMS, to appear.
    • Six Perspectives on Stochastic PDEs
    • Giacomin, G.1    Lebowitz, J.L.2    Presutti, E.3
  • 14
    • 84990617818 scopus 로고
    • Hydrodynimic and large deviations for simple exclusion process
    • C. Kipnis, S. Olla, and S. R. S. Varadhan, Hydrodynimic and large deviations for simple exclusion process, Comm. Pure Appl. Math. 42:115-137 (1989).
    • (1989) Comm. Pure Appl. Math. , vol.42 , pp. 115-137
    • Kipnis, C.1    Olla, S.2    Varadhan, S.R.S.3
  • 15
    • 0001053893 scopus 로고
    • An introduction to the kinetics of first-order phase transitions
    • C. Godrèche, ed. Cambridge University
    • J. S. Langer, An introduction to the kinetics of first-order phase transitions, Solids Far from Equilibrium, C. Godrèche, ed. (Cambridge University, 1991).
    • (1991) Solids Far from Equilibrium
    • Langer, J.S.1
  • 16
    • 0000578371 scopus 로고
    • A particle model for spinodal decomposition
    • J. L. Lebowitz, E. Orlandi, and E. Presutti, A particle model for spinodal decomposition, J. Stat. Phys. 63:933-974 (1991).
    • (1991) J. Stat. Phys. , vol.63 , pp. 933-974
    • Lebowitz, J.L.1    Orlandi, E.2    Presutti, E.3
  • 17
    • 0037492836 scopus 로고
    • Rigorous treatment of the Van der Walls-Maxwell theory of the liquid-vapor transition
    • J. L. Lebowitz and O. Penrose, Rigorous treatment of the Van der Walls-Maxwell theory of the liquid-vapor transition, J. Math. Phys. 7:98 (1966).
    • (1966) J. Math. Phys. , vol.7 , pp. 98
    • Lebowitz, J.L.1    Penrose, O.2
  • 19
    • 0001298678 scopus 로고
    • Rigorous treatment of metastable states in the Van der Walls-Maxwell theory
    • O. Penrose and J. L. Lebowitz, Rigorous treatment of metastable states in the Van der Walls-Maxwell theory, J. Stat. Phys. 3:235-247 (1971).
    • (1971) J. Stat. Phys. , vol.3 , pp. 235-247
    • Penrose, O.1    Lebowitz, J.L.2
  • 21
    • 21344475752 scopus 로고
    • Metastability of Ginzburg-Landau model with conservation law
    • H. T. Yau, Metastability of Ginzburg-Landau model with conservation law, J. Stat. Phys. 74:63-88 (1994).
    • (1994) J. Stat. Phys. , vol.74 , pp. 63-88
    • Yau, H.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.