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Anomalous Roughening of Curvature-Driven Growth With a Variable Interface Window

Chaotic Dynamics 2015-06-11 v1 Biological Physics Chemical Physics

Abstract

We studied the curvature-driven roughening of a disk domain pattern with a variable interface window. The relaxation of interface is driven by negative surface tension . When a domain boundary propagates radially at a constant rate, we found that evolution of interface roughness follows scaling dynamic behavior. The local growth exponents are substantially different from the global exponents. Curvature-driven roughening belongs to a new class of anomalous roughening dynamics. However, a different surface tension leads to different global exponents. This is different from that of interface evolution with a fixed-size window, which has universal exponent. The variable growth window leads to a new class of anomalous roughening dynamics.

Keywords

Cite

@article{arxiv.1208.4460,
  title  = {Anomalous Roughening of Curvature-Driven Growth With a Variable Interface Window},
  author = {Yong-Jun Chen and Yuko Nagamine and Tomohiko Yamaguchi and Kenichi Yoshikawa},
  journal= {arXiv preprint arXiv:1208.4460},
  year   = {2015}
}