Abstract
The dynamical evolution away from an unstable steady state is studied for the two-sided symmetric model in two dimensions by means of numerically solving the interface equations of motion. Evidence is presented for the appearance of a regime of self-similar growth in which the pattern is characterized by a single length scale R(t). The asymptotic time dependence of such a length is R(t)\ensuremath{\sim}t. The results also show that the local deviation of the interface from planarity, the local normal growth velocity, and the power spectrum of the interface satisfy scaling relations. In addition, by assuming the existence of such a scaling regime, we are able to derive from dimensional and heuristic arguments a power-law growth with exponents in accord with those found in the numerical solution.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
