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Particle diffusion in the presence of trapping (1997)

Spineanu, F. ; Vlad, M.

[S.l.] : American Institute of Physics (AIP)

Physics of Plasmas 4 (1997), S. 2106-2115

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ISSN: 1089-7674

Source: AIP Digital Archive

Topics: Physics

Notes: The diffusion of particles in the presence of randomly distributed trapping centres is examined. An analytical approach is developed for three simple models of the trap-release processes. It is shown that the particle motion remains diffusive on the average, but the diffusion coefficient can have large fluctuations. The results of the numerical simulations confirm the main qualitative trends found in the analytical study. Although they are very simple, the models can be useful for the examination of the diffusion in tokamak plasma in the presence of quasi-coherent structures which act as trapping centres. © 1997 American Institute of Physics.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.872376

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Continuous time versus reaction events number in stochastic kinetics. A chemical uncertainty principle (1993)

Vlad, M. O.

Springer

Reaction kinetics and catalysis letters 49 (1993), S. 161-166

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ISSN: 1588-2837

Source: Springer Online Journal Archives 1860-2000

Topics: Chemistry and Pharmacology

Notes: Abstract In contrast to the usual continuous time description, a discrete version of stochastic chemical kinetics is suggested. Within its framework the total number of reaction events plays the role of a discrete time variable. The continuous and discrete time descriptions are complementary: the dispersion of the reaction events increases as the time increases. Conversely, the dispersion of the time necessary for the occurrence of a given number of reaction events increases with the increase of the number of reaction events. A chemical uncertainty principle is formulated which is similar to the uncertainty principle of quantum mechanics.