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- W1555061878 abstract "The problems associated with the mass-transfer processes in dissipative systems of interacting particles are of great interest in various fields of science (plasma physics, medical industry, physics and chemistry of polymers, etc.) (Frenkel, 1946; Cummins & Pike, 1974; Balescu, 1975; March & Tosi, 1995; Ovchinnikov et al., 1989; Dodd et al., 1982; Thomas & Morfill, 1996; Fortov et al., 1996; Fortov et al., 1999). Nevertheless, the hydrodynamic approaches can successfully describe these processes only in the case of the short-range interactions between particles. The main problem involved in studies of non-ideal systems is associated with the absence of an analytical theory of liquid. To predict the transport properties of non-ideal systems, the various empirical approaches and the computer simulations of dynamics of the particles with the different models for potentials of their interaction are used (Frenkel, 1946; Cummins & Pike, 1974; Balescu, 1975; March & Tosi, 1995; Ovchinnikov et al., 1989). The simulations of transport processes are commonly performed by methods of molecular dynamics, which are based on solving of reversible motion equations of particles, or Langevin equations taking into account the irreversibility of the processes under study. The diffusion is the basic mass-transfer process, which defines the losses of energy (dissipation) in the system of particles and its dynamic features (such as the phase state, the conditions of propagation of waves and the formation of instabilities). When the deviations of the system from the statistical equilibrium are small, the kinetic coefficients of linear dissipative processes (constants of diffusion, viscosity, thermal conductivity etc.) can be found from Green-Kubo formulas that were established with the help of the theory of Markovian stochastic processes under an assumption of the linear reaction of the statistical system on its small perturbations. These formulas are the important results of the statistical theory of irreversible processes. According to these formulas, the diffusion coefficient D can be found from the following relationship:" @default.
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- W1555061878 date "2011-02-21" @default.
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- W1555061878 title "Mass-Transfer in the Dusty Plasma as a Strongly Coupled Dissipative System: Simulations and Experiments" @default.
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- W1555061878 doi "https://doi.org/10.5772/15336" @default.
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