Heat and Mass Transfer and Physical Gasdynamics

Deterministic chaos during chemical reactions in the interfacial layer at high temperatures

G. P. Bystrai

Ural State University, Ekaterinburg

Abstract: The process of entering of substances into a chemical reaction at high temperatures in the interfacial layer is modeled as instantaneous "shocks" resulting in a change of the order parameter related to the concentration of intermediate product; this defines, along with the delay effect, the emergence of a nonequilibrium damping coefficient. The integration of the obtained differential equation (DE) in the time interval makes it possible to reduce the kinetic problem continuous in the time to the problem of mapping with chaotic dynamics of the order parameter (concentration). This approach allows to correlate concepts such as the explosive phase transition in two-component systems, chaos, and nonlinear processes, as well as to answer the question whether deterministic chaos is realized in such systems and how rapidly the information about the initial conditions is lost.

UDC: 530.2+539.21+531.19+541.1

Received: 15.04.2003

 English version: High Temperature, 2004, 42:1, 88–103