Mesoscopic diffusion as a non-Markov process

Physica A: Statistical Mechanics and its Applications

Volumn 258, Issue 3-4, 1998, Pages 414-428

  Godoy, Salvador ^a   Garcia Colin L S ^a,b,c  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^b DEPARTAMENTO DE QUÍMICA   (Mexico)

^c EL COLEGIO NACIONAL   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTALLINE MATERIALS; QUANTUM THEORY; STATISTICAL MECHANICS;

FICK'S LAW; LANDAUER DIFFUSION; MESOSCOPIC DIFFUSION; QUANTUM INTERFERENCE;

DIFFUSION IN SOLIDS;

EID: 0032163001     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(98)00217-9     Document Type: Article

References (25)

1. C.W.J. Beenakker, H. van Houten, in: H. Ehrenreich, D. Turnbull (Eds.), Quantum Transport in Semiconductor Nanostructures, Solid State Physics, vol. 44, Academic Press, New York, 1991.
2. R. Landauer, IBM J. Res. Develop. 1 (1957) 233; 32 (1988) 306; Phil. Mag. 21 (1970) 863.
3. R. Landauer, IBM J. Res. Develop. 1 (1957) 233; 32 (1988) 306; Phil. Mag. 21 (1970) 863.
4. R. Landauer, IBM J. Res. Develop. 1 (1957) 233; 32 (1988) 306; Phil. Mag. 21 (1970) 863.
5. M. Büttiker, Phys. Rev. Lett. 57 (1986) 1761; Phys. Rev. B. 40 (1989) 3409; M. Büttiker, Phase- Sensitive Voltage Measurements, in: W. van Haeringen, D. Lenstra (Eds.), Analogies in Optics and Micro-Electronics, Kluwer Academic Publishers, Dordrecht, 1990, pp. 185-202.
6. M. Büttiker, Phys. Rev. Lett. 57 (1986) 1761; Phys. Rev. B. 40 (1989) 3409; M. Büttiker, Phase- Sensitive Voltage Measurements, in: W. van Haeringen, D. Lenstra (Eds.), Analogies in Optics and Micro-Electronics, Kluwer Academic Publishers, Dordrecht, 1990, pp. 185-202.
7. M. Büttiker, Phys. Rev. Lett. 57 (1986) 1761; Phys. Rev. B. 40 (1989) 3409; M. Büttiker, Phase-Sensitive Voltage Measurements, in: W. van Haeringen, D. Lenstra (Eds.), Analogies in Optics and Micro-Electronics, Kluwer Academic Publishers, Dordrecht, 1990, pp. 185-202.
8. Y. Imry, in: G. Grinstein, G. Mazenko (Eds.), Directions in Condensed Matter Physics, Physics of Mesoscopic Systems, World Scientific Press, Singapore, 1986.
9. H.-L. Engquist, P.W. Anderson, Phys. Rev. B 24 (1981) 1151.
10. P.W. Anderson, D.J. Thoules, E. Abrahams, D.S. Fisher, Phys. Rev. B 22 (1980) 3519.
11. M.Ya. Azbel, J. Phys. C 14 (1981) L225.
12. P.A. Lee, A.D. Stone, H. Fukuyama, Phys. Rev. B 35 (1987) 1039; P.A. Lee, D.S. Fisher, Phys. Rev. Lett. 47 (1981) 882.
13. P.A. Lee, A.D. Stone, H. Fukuyama, Phys. Rev. B 35 (1987) 1039; P.A. Lee, D.S. Fisher, Phys. Rev. Lett. 47 (1981) 882.
14. A.D. Stone, Phys. Rev. Lett. 54 (1985) 2692; P.A. Lee, A.D. Stone, Phys. Rev. Lett. 55 (1985) 1622.
15. A.D. Stone, Phys. Rev. Lett. 54 (1985) 2692; P.A. Lee, A.D. Stone, Phys. Rev. Lett. 55 (1985) 1622.
16. S. Godoy, Phys. Rev. E 56 (1997) 4884.
17. E.W. Montroll, B.J. West, On an enriched collection of stochastic processes, in: E.W. Montroll, J.L. Lebowits (Eds.), Fluctuation Phenomena, North-Holland, Amsterdam, 1979, p. 61.
18. G.V. Chester, Rep. Prog. Phys. 26 (1963) 411, and references therein.
19. E. Merzbacher, Quantum Mechanics, 3rd edn., Wiley, New York, 1997.
20. G.H. Weiss, Aspects and Applications of the Random Walk, North Holland, Amsterdam, 1994.
21. D.D. Joseph, L. Preziosi, Rev. Mod. Phys. 61 (1989) 41.
22. R. Landauer, M. Büttiker, Phys. Rev. B 36 (1987) 6255.
23. E.P. Wigner, A. Weinberg, The Physical Theory of Neutron Chain Reactors, The University of Chicago Press, Chicago, vol. 37, 1958, p. 233.
24. A.G. Webster, Partial Differential Equations of Mathematical Physics, 2nd edn., E. Stechert & Co., New York, 1933.
25. M.G. Rozman, P. Reineker, R. Tehver, Phys. Rev. A 49 (1994) 3310.