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Volumn 34, Issue 5, 2006, Pages 1990-2036

Bulk diffusion in a system with site disorder

Author keywords

Disordered systems; Hydrodynamic limit

Indexed keywords


EID: 33749470308     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/009117906000000322     Document Type: Article
Times cited : (28)

References (24)
  • 2
    • 33845501911 scopus 로고
    • Correlated random walks with random hopping rates
    • Dec 25 V1 N51
    • BRAK, R. and ELLIOTT, R. J. (1989). Correlated random walks with random hopping rates. J. Physics-Condensed Matter Dec 25 V1 N51 10299-10319.
    • (1989) J. Physics-Condensed Matter , pp. 10299-10319
    • Brak, R.1    Elliott, R.J.2
  • 4
    • 0038309504 scopus 로고    scopus 로고
    • Uniform Poincare inequalities for unbounded conservative spin systems: The non-interacting case
    • MR1989628
    • CAPUTO, P. (2003). Uniform Poincare inequalities for unbounded conservative spin systems: The non-interacting case. Stochastic Process. Appl. 106 223-244. MR1989628
    • (2003) Stochastic Process. Appl. , vol.106 , pp. 223-244
    • Caputo, P.1
  • 5
    • 0000295529 scopus 로고
    • Fluctuations of one dimensional Ginzburg-Landau models in nonequilibrium
    • MR1162798
    • CHANG, C. C. and YAU, H. T. (1992). Fluctuations of one dimensional Ginzburg-Landau models in nonequilibrium. Comm. Math. Phys. 145 209-234. MR1162798
    • (1992) Comm. Math. Phys. , vol.145 , pp. 209-234
    • Chang, C.C.1    Yau, H.T.2
  • 6
    • 0347532759 scopus 로고    scopus 로고
    • Hydrodynamic limit of a disordered lattice gas
    • MR2021195
    • FAGGIONATO, A. and MARTINELLI, F. (2003). Hydrodynamic limit of a disordered lattice gas. Probab. Theory Related Fields 127 535-608. MR2021195
    • (2003) Probab. Theory Related Fields , vol.127 , pp. 535-608
    • Faggionato, A.1    Martinelli, F.2
  • 7
    • 0347486521 scopus 로고
    • Hydrodynamics in a symmetric random medium
    • MR1017736
    • FRITZ, J. (1989). Hydrodynamics in a symmetric random medium. Comm. Math. Phys. 125 13-25. MR1017736
    • (1989) Comm. Math. Phys. , vol.125 , pp. 13-25
    • Fritz, J.1
  • 8
    • 33845473910 scopus 로고
    • Occupancy-correlation corrections in hopping
    • GARTNER, P. and PITIS, R. (1992). Occupancy-correlation corrections in hopping. Phys. Rev. B 45.
    • (1992) Phys. Rev. B , pp. 45
    • Gartner, P.1    Pitis, R.2
  • 9
    • 0003078083 scopus 로고
    • Nonlinear diffusion limit for a system with nearest neighbor interactions
    • MR0954674
    • GUO, M. Z., PAPANICOLAOU, G. C. and VARADHAN, S. R. S. (1988). Nonlinear diffusion limit for a system with nearest neighbor interactions. Comm. Math. Phys. 118 31-53. MR0954674
    • (1988) Comm. Math. Phys. , vol.118 , pp. 31-53
    • Guo, M.Z.1    Papanicolaou, G.C.2    Varadhan, S.R.S.3
  • 10
    • 0346627472 scopus 로고
    • Collective diffusion of lattice gases on linear chain with site-energy disorder
    • KEHR, K. W., PAETZOLD, O. and WICHMANN, T. (1993). Collective diffusion of lattice gases on linear chain with site-energy disorder. Phys. Lett. A 182 135-139.
    • (1993) Phys. Lett. A , vol.182 , pp. 135-139
    • Kehr, K.W.1    Paetzold, O.2    Wichmann, T.3
  • 12
    • 30244467529 scopus 로고
    • Classical transport in disordered media: Scaling and effective-medium theories
    • KIRKPATRICK, S. (1971). Classical transport in disordered media: Scaling and effective-medium theories. Phys. Rev. Lett. 27 1722.
    • (1971) Phys. Rev. Lett. , vol.27 , pp. 1722
    • Kirkpatrick, S.1
  • 13
    • 21144481999 scopus 로고
    • Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
    • MR1233852
    • LU, S. L. and YAU, H. T. (1993). Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics. Comm. Math. Phys. 156 399-433. MR1233852
    • (1993) Comm. Math. Phys. , vol.156 , pp. 399-433
    • Lu, S.L.1    Yau, H.T.2
  • 14
    • 36149027411 scopus 로고
    • Impurity conduction at low concentrations
    • MILLER, A. and ABRAHAMS, E. (1960). Impurity conduction at low concentrations. Phys. Rev. 120 745.
    • (1960) Phys. Rev. , vol.120 , pp. 745
    • Miller, A.1    Abrahams, E.2
  • 15
    • 0001689286 scopus 로고
    • Boundary value problems with rapidly oscillating coefficients
    • (J. Fritz, J. L. Lebowitz and D. Szasz, eds.). North-Holland, Amsterdam. MR0712714
    • PAPANICOLAOU, G. C. and VARADHAN, S. R. S. (1981). Boundary value problems with rapidly oscillating coefficients. In Random Fields (J. Fritz, J. L. Lebowitz and D. Szasz, eds.) 835-853. North-Holland, Amsterdam. MR0712714
    • (1981) Random Fields , pp. 835-853
    • Papanicolaou, G.C.1    Varadhan, S.R.S.2
  • 16
    • 33845484472 scopus 로고    scopus 로고
    • Diffusion in disordered media
    • (T. Funaki and W. Woyczinky, eds.). Springer, New York. MR1395893
    • QUASTEL, J. (1996). Diffusion in disordered media. In Proceedings in Nonlinear Stochastic PDEs (T. Funaki and W. Woyczinky, eds.) 65-79. Springer, New York. MR1395893
    • (1996) Proceedings in Nonlinear Stochastic PDEs , pp. 65-79
    • Quastel, J.1
  • 17
    • 84990628122 scopus 로고
    • Diffusion of color in the simple exclusion process
    • MR1162368
    • QUASTEL, J. (1992). Diffusion of color in the simple exclusion process. Comm. Pure Appl. Math. 45 623-679. MR1162368
    • (1992) Comm. Pure Appl. Math. , vol.45 , pp. 623-679
    • Quastel, J.1
  • 20
    • 0000364352 scopus 로고
    • Theory of one-dimensional hopping conductivity and diffusion
    • MR0452417
    • RICHARDS, P. M. (1977). Theory of one-dimensional hopping conductivity and diffusion. Phys. Rev. B 16 1393-1409. MR0452417
    • (1977) Phys. Rev. B , vol.16 , pp. 1393-1409
    • Richards, P.M.1
  • 22
    • 0002272331 scopus 로고
    • Nonlinear diffusion limit for a system with nearest neighbor interactions. II
    • (K. D. Elworthy and N. Ikeda, eds.). Wiley, New York. MR1354147
    • VARADHAN, S. R. S. (1990). Nonlinear diffusion limit for a system with nearest neighbor interactions. II. In Asymptotic Problems in Probability Theory: Stochastic Models and Diffusions on Fractals (K. D. Elworthy and N. Ikeda, eds.) 75-128. Wiley, New York. MR1354147
    • (1990) Asymptotic Problems in Probability Theory: Stochastic Models and Diffusions on Fractals , pp. 75-128
    • Varadhan, S.R.S.1
  • 23
    • 0000120027 scopus 로고    scopus 로고
    • Diffusive limit of lattice gas with mixing conditions
    • MR1621569
    • VARADHAN, S. R. S. and YAU, H.-T. (1997). Diffusive limit of lattice gas with mixing conditions. Asian J. Math. 1 623-678. MR1621569
    • (1997) Asian J. Math. , vol.1 , pp. 623-678
    • Varadhan, S.R.S.1    Yau, H.-T.2
  • 24
    • 34249965175 scopus 로고
    • Hydrodynamic limit of non-gradient interacting particle process
    • MR0988563
    • WICK, W. D. (1989). Hydrodynamic limit of non-gradient interacting particle process. J. Statist. Phys. 54 873-892. MR0988563
    • (1989) J. Statist. Phys. , vol.54 , pp. 873-892
    • Wick, W.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.