Long time tails in stationary random media. II: Applications. (English) Zbl 0588.60085
In part I, see the foregoing review, Zbl 0588.60084, we developed a mode- coupling theory to describe the long time properties of diffusion in stationary, statistically homogeneous, random media. Here the general theory is applied to deterministic and stochastic Lorentz models and several hopping models.
MSC:
| 60J70 | Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) |
| 82B05 | Classical equilibrium statistical mechanics (general) |
Citations:
Zbl 0588.60084References:
| [1] | M. H. Ernst, J. Machta, J. R. Dorfman, and H. van Beijeren,J. Stat. Phys. (1984). |
| [2] | P. Grassberger,Physica 103A:558 (1980). |
| [3] | H. van Beijeren,Rev. Mod. Phys. 54:195 (1982). · doi:10.1103/RevModPhys.54.195 |
| [4] | H. Spohn and H. van Beijeren,J. Stat. Phys. 31:231 (1983). · doi:10.1007/BF01011581 |
| [5] | M. H. Ernst and H. van Beijeren,J. Stat. Phys. 26:1 (1981). · doi:10.1007/BF01106782 |
| [6] | P. M. Richards and R. L. Renken,Phys. Rev. B 21:3740 (1981). · doi:10.1103/PhysRevB.21.3740 |
| [7] | S. Alexander, J. Bernasconi, W. R. Schneider, and R. Orbach,Rev. Mod. Phys. 53:175 (1981). · doi:10.1103/RevModPhys.53.175 |
| [8] | J. Machta,Phys. Rev. B 24:5260 (1981). · doi:10.1103/PhysRevB.24.5260 |
| [9] | R. Zwanzig,J. Stat. Phys. 28:127 (1982). · doi:10.1007/BF01011627 |
| [10] | J. Machta,J. Stat. Phys. 30:305 (1983). · doi:10.1007/BF01012305 |
| [11] | J. W. Haus, K. W. Kehr, and K. Kitahara,Phys. Rev. B 25:4918 (1982);Z. Phys. B50:161 (1983). · doi:10.1103/PhysRevB.25.4918 |
| [12] | I. Webman and J. Klafter,Phys. Rev. B 26:5950 (1982). · doi:10.1103/PhysRevB.26.5950 |
| [13] | M. J. Stephen and R. Kariotis,Phys. Rev. B 26:2917 (1982). · doi:10.1103/PhysRevB.26.2917 |
| [14] | P. J. H. Denteneer and M. H. Ernst,J. Phys. C 16:L961 (1983). · doi:10.1088/0022-3719/16/27/004 |
| [15] | J. W. Haus, K. W. Kehr, and J. Lyklema,Phys. Rev. B 25:2905 (1982). · doi:10.1103/PhysRevB.25.2905 |
| [16] | V. Halpern,J. Phys. C 15:L827 (1982). · doi:10.1088/0022-3719/15/24/005 |
| [17] | P. J. H. Denteneer and M. H. Ernst,Phys. Rev. B 29:1755 (1984). · doi:10.1103/PhysRevB.29.1755 |
| [18] | E. H. Hauge,Lecture Notes in Physics, G. Kirczenow and J. Marro, eds. (Springer Verlag, Berlin, 1974), Vol. 31. |
| [19] | J. L. Lebowitz, J. K. Percus, and L. Verlet,Phys. Rev. 153:250 (1967); D. C. Wallace and G. K. Straub,Phys. Rev. A 27:2201 (1983). · doi:10.1103/PhysRev.153.250 |
| [20] | J. Kertesz,J. Phys. (Paris) Lett. 42:L395 (1981). |
| [21] | S. W. Haan and R. Zwanzig,J. Phys. A. Math. Gen. 10:1547 (1977). · doi:10.1088/0305-4470/10/9/013 |
| [22] | E. T. Gawlinski and H. E. Stanley,J. Phys. A. Math. Gen. 14:L291 (1981). · doi:10.1088/0305-4470/14/8/007 |
| [23] | A. Masters and T. Keyes,Phys. Rev. A 25:1010 (1982); 26:2129 (1982); T. Keyes,Physica 118A:395 (1983). · doi:10.1103/PhysRevA.25.1010 |
| [24] | M. H. Ernst and A. Weyland,Phys. Lett. 34A:39 (1971). |
| [25] | J. M. J. van Leeuwen and A. Weyland,Physica 36:457 (1967);38:35 (1968). · doi:10.1016/0031-8914(67)90240-6 |
| [26] | W. Götze, E. Leutheuser, and S. Yip,Phys. Rev. A 23:2634 (1981);24:100 (1981);25:533 (1982). · doi:10.1103/PhysRevA.23.2634 |
| [27] | T. Keyes and J. Mercer,Physica 95A:473 (1979). |
| [28] | C. Bruin,Phys. Rev. Lett. 29:1670 (1972);Physica 72:261 (1974). · doi:10.1103/PhysRevLett.29.1670 |
| [29] | W. E. Alley, Ph.D. thesis, Univ. Calif. Davis (1979). |
| [30] | B. J. Alder and W. E. Alley,J. Stat. Phys. 19:341 (1978). · doi:10.1007/BF01011753 |
| [31] | B. J. Alder inLecture Notes in Physics, Vol. 84, L. Carrido, P. Seglar, and P. J. Shepherd, eds. (Springer, Berlin, 1978). |
| [32] | B. J. Alder and W. E. Alley, preprint, November (1981). |
| [33] | B. J. Alder and W. E. Alley,Phys. Rev. Lett. 43:653 (1979). · doi:10.1103/PhysRevLett.43.653 |
| [34] | J. C. Lewis and J. A. Tjon,Phys. Lett. 66A:349 (1978). |
| [35] | J. C. Lewis, private communication. |
| [36] | F. H. Ree and W. G. Hoover,J. Chem. Phys. 40:939 (1964). · doi:10.1063/1.1725286 |
| [37] | P. Visscher, private communication andPhys. Rev. B, to appear. |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
