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Probabilistic methods for stationary problems of linear transport theory (1979)

Aizenman, Michael ; Spohn, Herbert

Springer

Journal of statistical physics 21 (1979), S. 23-32

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ISSN: 1572-9613

Keywords: Transport equation ; absorption probabilities ; slab albedo ; Fick's law

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract The steady state of a system of independent particles which undergo elastic collisions can be expressed in terms of the absorption probabilities of the associated Markov process. For the slab albedo problem, this representation enables the application of probabilistic methods to obtain explicit upper and lower bounds on the steady-state density. In particular, the bounds prove the 1/L, decrease of the steady-state flux as a function of the slab widthL (Fick's law).

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01011478

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