Rare event statistics in reaction-diffusion systems

作者: Vlad Elgart , Alex Kamenev

DOI: 10.1103/PHYSREVE.70.041106

关键词:

摘要: We present an efficient method to calculate probabilities of large deviations from the typical behavior (rare events) in reaction-diffusion systems. This is based on a semiclassical treatment underlying ``quantum'' Hamiltonian, encoding system's evolution. To this end, we formulate corresponding canonical dynamical system and investigate its phase portrait. presented for number pedagogical examples.

参考文章(47)
Denis Mollison, Spatial Contact Models for Ecological and Epidemic Spread Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 39, pp. 283- 313 ,(1977) , 10.1111/J.2517-6161.1977.TB01627.X
Crispin W. Gardiner, Handbook of Stochastic Methods Springer Series in Synergetics. ,(1983) , 10.1007/978-3-662-02377-8
Yuli V. Nazarov, Universalities of weak localization arXiv: Mesoscale and Nanoscale Physics. ,(1999)
Thomas M. Liggett, Interacting Particle Systems ,(1985)
L. B. Ioffe, D. Sherrington, Distribution of barriers in spin glasses Physical Review B. ,vol. 57, pp. 7666- 7672 ,(1998) , 10.1103/PHYSREVB.57.7666
Ronald Dickman, Joaquin Marro, Nonequilibrium Phase Transitions in Lattice Models ,(1999)
V Grassi, G Profilo, E Alfinito, G Soliani, R A Leo, Equations of the reaction-diffusion type with a loop algebra structure Inverse Problems. ,vol. 14, pp. 1387- 1401 ,(1998) , 10.1088/0266-5611/14/6/003
Klaus Oerding, Frédéric van Wijland, Vivien Brunel, Fermionic field theory for directed percolation in (1 + 1)-dimensions Journal of Physics A. ,vol. 33, pp. 1085- 1097 ,(2000) , 10.1088/0305-4470/33/6/301
M Doi, Stochastic theory of diffusion-controlled reaction Journal of Physics A. ,vol. 9, pp. 1479- 1495 ,(1976) , 10.1088/0305-4470/9/9/009
Alfred J. Lotka, Analytical Note on Certain Rhythmic Relations in Organic Systems Proceedings of the National Academy of Sciences. ,vol. 6, pp. 410- 415 ,(1920) , 10.1073/PNAS.6.7.410