Mathematical Models of Non-Linear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media de Ludmilla A. Uvarova

Mathematical Models of Non-Linear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media

Ludmilla A. Uvarova

Arkadii E. Arinstein

Anatolii V. Latyshev

The articles in this book are derived from the Third International Conference of the same name, held June 29-July 3, 1998. Topics include: nonlinear exaltations in condensed systems, evolution of complex systems, dynamics and structure of molecular and biomolecular systems, mathematical models of transfer processes in nonlinear systems and numerical modeling and algorithms.

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Cuprins

I. Mathematical models for nonlinear phenomena and properties (kinetic and dynamic processes, mass and heat transfer).- Temperature jump and weak evaporation in a poly-atomic gas.- Evolution of the dynamic dissipative systems as a temporal “colour” fractal.- Existence of solutions and dynamical models of Chandrasekhar H-equations.- Fluid dynamic limit of the Boltzmann kinetic equation arising in the coagulation—fragmentation dynamics.- Necessary and sufficient conditions for solvability of the initial-boundary value transport problem.- Solitary waves in two-component resonantly absorbing media.- Nonlinear vector model of the internal DNA dynamics.- The dynamics of the economic society structure.- Mathematical model for the heat mass transfer in the systems with the nonlinear properties induced by the electromagnetic radiation.- Mathematical model nonlinear heat transfer in an inhomogeneous dispersible system.- II. Numerical methods and computer simulations.- Unsteady viscous flow simulation based on QGD system.- Ecological after-effects numerical modelling under methane combustion.- Computer simulation of evaporation process into the vacuum.- On oscillation and nonoscillation domains for difference Riccati equation.- III. Nonlinear phenomena in physics.- Dusty particle interaction in plasma placed in magnetic field.- Tunnel transport of electrons at anharmonic accepting mode.- Atomic operator formalism of elementary gates for quantum computation and impurity-induced exciton quantum gates.- Nonlinear spin waves and magnet-acoustic resonance in the model of Heisenberg magnet.- Modeling of 2delectron field emission from silicon microcathode.- Echo-phenomenon in ferroelectric solid and liquid crystals.- Investigations of blistering in solids using stochastic model.-Electric potentials distribution for particles located in solution.- Statement and solution of a boundary value problem in a model of a plasma generator as controlled system.- IV. Nonlinear models in chemical physics and physical chemistry.- Complex representation of dynamics of coupled nonlinear oscillators.- Conducting channels structure and dielectric-metal switching stability in thin amorphous films.- Phenomenological description for process of multiple disintegration of solids under intensive stress action such as compression & shear.- Vaporization and growth of aerosol particles, given internal heat release and radiant heat exchange.- Vaporization and growth of large and moderately large particles at considerable differences of gaseous component concentrations.- Diffusive vaporization and growth of assembly ofN-large particles.- Analysis of the phenomenon of autoacceleration in free radical polymerization.- Quntum-chemical models for the active centers of transition metals biologically active complexes. Interconnection of the active centers structure and the functions.- Relations between the properties of substances and their molecular structure: phenomenological study of substituted methanes and their analogs.