Lavrentovich Maxim O, Liu Andrea J, Nagel Sidney R
Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.
Department of Physics, James Franck and Enrico Fermi Institutes, University of Chicago, Chicago, Illinois 60637, USA.
Phys Rev E. 2017 Aug;96(2-1):020101. doi: 10.1103/PhysRevE.96.020101. Epub 2017 Aug 10.
Athermal disordered systems can exhibit a remarkable response to an applied oscillatory shear: After a relatively few shearing cycles, the system falls into a configuration that had already been visited in a previous cycle. After this point the system repeats its dynamics periodically despite undergoing many particle rearrangements during each cycle. We study the behavior of orbits as we approach the jamming point in simulations of jammed particles subject to oscillatory shear at fixed pressure and zero temperature. As the pressure is lowered, we find that it becomes more common for the system to find periodic states where it takes multiple cycles before returning to a previously visited state. Thus, there is a proliferation of longer periods as the jamming point is approached.
在相对较少的剪切循环之后，系统会陷入到之前某个循环中已经出现过的一种构型。从这一点开始，尽管在每个循环中都会发生许多粒子重排，但系统仍会周期性地重复其动力学过程。我们在固定压力和零温度下对受振荡剪切的堵塞粒子进行模拟，研究当接近堵塞点时轨道的行为。随着压力降低，我们发现系统更常出现周期性状态，即需要多个循环才能回到之前出现过的状态。因此，随着接近堵塞点，更长周期的情况会增多。
