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发表时间:2020-10-27 阅读次数:277次
报告题目: Depinning Transition of Travelling Waves for Particle Chains
报 告 人:秦文新 教授
报告人所在单位:苏州大学数学科学学院
报告日期:2020-10-27 星期二
报告时间:16:00-17:00
报告地点:腾讯会议ID: 255 261 644
  
报告摘要:

  We apply the techniques of the Aubry-Mather theory for lattice systems to investigate the depinning transition of travelling waves for particle chains.

    Assume $B>0 $ is a critical value such that the particle chain has two homogeneous equilibria if the driving force $F\in [0,B]$. We demonstrate that there exist a transition threshold $0\leq F_c^+$ of the driving force such that the particle chain has stationary fronts for $0<F\leq F_c^+$ but no travelling fronts, and has travelling fronts but no stationary fronts if $F_c^+<F<B$. Moreover, we show that for $0<F<F_c^+$, besides stationary fronts, there are various kinds of equilibria such that the spatial shift has positive topological entropy on the set of equilibria. We also give a necessary and sufficient condition for $F_c^+=0$ via the existence of minimal foliation for the particle system without driving force, and prove that $F_c^+$ is continuous with respect to system parameters.

 

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本年度学院报告总序号:191

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