III International Conference

AUTOWAVE PROCESSES IN A STATIC CATALYST BEDPP-III-89Gerasev A.P.Boreskov Institute of Catalysis SB RAS, Novosibirsk, RussiaE-mail: a.gerasev@ngs.ruThe purpose of this is modern description of nature of autowave processes in staticcatalyst bed. The thermodynamic description of physicochemical processes in a catalytic bedis considered. The entropy balance equation was constructed and analyzed. The total entropyproduction in a distributed open nonlinear system was shown to be a functional of theautowave solution to the mathematical model. The analysis was done with three kinds ofautowave processes in catalyst bed: fast autowaves, slow autowaves and hybrid autowaves.The theory of propagation of nonlinear waves in active distributed kinetic systems wasoriginated by Kolmogorov, Petrovskii, and Piskunov; Fisher; and Zel’dovich and Frank-Kamenetskii. The problem of the formation of structures stable in time and space in complexopen systems as a result of the loss of homogeneous state stability is very general, and theaccompanying processes are called autowave. The term autowave process (AWP) usuallymeans a self-sustained nonlinear wave process (including stationary structures) whosecharacteristics (propagations velocity, period, wave (impulse) length, amplitude, and shape)remain unaltered due to an energy source distributed in the medium. In an established regime,these characteristics depend on the local properties of the medium alone and are independentof the initial conditions. Physical media with an energy source at each spatial point arereferred to as active media. The principal goals of the AWP theory are elucidation of thegeneral ideas, methodology, and rules pertinent to self-organization processes in a varioussystems and the establishment of the physical magnitude and criteria for the relative degree ofregularity and organization of various nonequilibrium states in open system. The modernqualitative AWP theory is wholly based on the qualitative theory of dynamic systems.Successful investigations into nonlinear wave phenomena have greatly promoted theunderstanding of many of these phenomena based on a common approach and developing anumber of universal methods for their survey.Prigogine et al. were the first to consider the thermodynamic aspect of the problem,namely, energy dissipation (entropy production) processes. The purpose if this work was toanalyze the thermodynamic properties and construct the nonequilibrium entropy of adistributed open nonlinear system under the conditions of stationary propagation of autowaveprocesses. Qualitative and numerical studies of the rules governing local and total production637