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Asymptotically Exactly Solvable Models of Processes in Stochastically Homogeneous Disordered Lattice Media

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Abstract

We construct and study asymptotically exactly solvable models (including new models) of evolution processes in random stationary stochastically homogeneous lattice media. For the first time, we present an effective method for obtaining long-time asymptotic expansions for spatial fluctuations of the propagator in many models previously studied as well as in new models.

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REFERENCES

  1. J. Bernasconi, S. Alexander, and R. Orbach, Phys. Rev. Lett., 41, 185 (1978).

    Google Scholar 

  2. Ya. G. Sinai, Teor. Veroyatn. Primenen., 29, 247 (1982).

    Google Scholar 

  3. P. J. H. Denteneer and M. H. Ernst, Phys. Rev., 29, 1755 (1984).

    Google Scholar 

  4. J.-P. Bouchaud and A. George, Phys. Rep., 185, 127 (1990).

    Google Scholar 

  5. Yu. G. Abov, M. I. Bulgakov, S. P. Borovlev, et al., JETP, 72, 534 (1991).

    Google Scholar 

  6. F. S. Dzheparov, JETP, 72, 546 (1991).

    Google Scholar 

  7. J. Bricmont and A. Kuppiainen, Phys. Rev. Lett., 66, 1689 (1991); Comm. Math. Phys., 142, 345 (1991).

    Google Scholar 

  8. J. W. Haus and K. W. Kehr, Phys. Rev. B, 44, 4341 (1991).

    Google Scholar 

  9. Phil. Mag. B (Proc. 4th Intl. Conf. on Hopping and Related Phenomena), 65, No. 4 (1992).

    Google Scholar 

  10. F. S. Dzheparov and V. E. Shestopal, Theor. Math. Phys., 94, 345 (1993).

    Google Scholar 

  11. F. S. Dzheparov, D. V. L'vov, K. N. Nechaev, and V. E. Shestopal, JETP Letters, 62, 662 (1995).

    Google Scholar 

  12. D. V. L'vov and V. E. Shestopal, Surveys High Energy Phys., 13, 223 (1998).

    Google Scholar 

  13. F. S. Deparov, D. V. L'vov, and V. E. Shestopal, JETP, 87, 1179 (1998).

    Google Scholar 

  14. V. E. Shestopal, Theor. Math. Phys., 119, 660 (1999).

    Google Scholar 

  15. F. Dzheparov, A. Gul'ko, P. Heitjans, D. Lvov, A. Schirmer, V. Shestopal, S. Stepanov, and S. Tropin, Phys. B, 297, 288 (2001).

    Google Scholar 

  16. M. F. Fedoryuk, Asymptotic Expansions: Integrals and Series [in Russian], Nauka, Moscow (1987).

    Google Scholar 

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Authors and Affiliations

  1. Institute for Theoretical and Experimental Physics, Moscow, Russia

    F. S. Dzheparov & V. E. Shestopal

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  1. F. S. Dzheparov
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  2. V. E. Shestopal
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Dzheparov, F., Shestopal, V. Asymptotically Exactly Solvable Models of Processes in Stochastically Homogeneous Disordered Lattice Media. Theoretical and Mathematical Physics 135, 549–565 (2003). https://doi.org/10.1023/A:1023291620800

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