Display Abstract

Title Tempest in a Granular Alignment: solitary waves, quasi-equilibrium, rogue fluctuations and more

Name Surajit Sen
Country USA
Email sen@buffalo.edu
Co-Author(s) Surajit Sen, Yoichi Takato, Edgar Avalos, Han Ding, Matthew Westley
Submit Time 2014-02-26 21:38:58
Session
Special Session 101: Nonlinear waves in materials with microstructure
Contents
We consider a simple alignment of elastic objects in mutual contact and held between two rigid walls. A simple velocity perturbation imparted across short enough times at an end of an unloaded alignment results in a solitary wave. A long lived perturbation results in a solitary wave train. These solitary waves break and reform upon collision, thereby in the absence of dissipation leading to the eventual emergence of a quasi-equilibrium phase. We will also show that there exists a critical compression where in addition to the quasi-equilibrium phase there are solitary waves that do not scatter as expected upon collision. The talk will discuss various properties of this quasi-equilibrium phase, in particular, the possibility of observing very large energy fluctuations and clusters of such fluctuations which we call rogue fluctuations in these systems at late times.