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Critical point of jamming transition in two-dimensional monodisperse systems
Liping Deng1,2, Cai Zhao1, Zhenhuan Xu1
1Institute of Public Safety and Big Data, College of Data Science, Taiyuan University of Technology, 030060, Taiyuan, China.
Abstract:
The existence of amorphous packings in two-dimensional monodisperse system is a classical unsolved problem. We get the energy minimum state by the energy minimization method of enthalpy under constant pressure conditions. Firstly, we find that there are two peaks in the experiment, which demonstrate the interesting features of the coexistence of crystals and amorphous crystals. And then, we confirm the critical point of jamming transition of the two-dimensional monodisperse is [Formula: see text]. Finally, we prove that the jamming scaling is still satisfied in two-dimensional monodispersed system: [Formula: see text] and vanishes as [Formula: see text], and the boson peak shifts to lower frequencies for less compressed systems.
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