
arXiv: cond-mat/0403440
The general non-degenerate p-adic operators of ultrametric diffusion are introduced. Bases of eigenvectors for the introduced operators are constructed and the corresponding eigenvalues are computed. The long-time relaxation behavior of the ultrametric diffusion generated by the introduced operators are investigated.
Integral operators, Condensed Matter - Other Condensed Matter, Transition functions, generators and resolvents, Transport processes in time-dependent statistical mechanics, Soft Condensed Matter (cond-mat.soft), FOS: Physical sciences, Condensed Matter - Soft Condensed Matter, Markov semigroups and applications to diffusion processes, Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses), Other Condensed Matter (cond-mat.other)
Integral operators, Condensed Matter - Other Condensed Matter, Transition functions, generators and resolvents, Transport processes in time-dependent statistical mechanics, Soft Condensed Matter (cond-mat.soft), FOS: Physical sciences, Condensed Matter - Soft Condensed Matter, Markov semigroups and applications to diffusion processes, Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses), Other Condensed Matter (cond-mat.other)
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