X iv : p at t - so l / 9 91 10 02 v 1 2 N ov 1 99 9 Instanton solutions in the problem of wrinkled flame fronts dynamics
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چکیده
The statistics of wrinkling flame front is investigated by the quantum field theory methods. We dwell on the WKB approximation in the functional integral which is analogous to the Wyld functional integral in turbulence. The main contribution to statistics is due to a coupled field-force configuration. This configuration is related to a kink between metastable exact pole solutions of the Syvashinsky equation. These kinks are responsible for both the formation of new cusps and the rapid power-law acceleration of the mean flame front. The problem of asymptotic stability of the solutions is discussed.
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