Critical Exponents for Granular Phase Transitions

Details Critical Exponents for Granular Phase Transitions Critical Exponents for Granular Phase Transitions

1997-06-17

arxiv.org/abs/cond-mat/9706168v3

Europhysics Letters 40(6), 625-630 (1997)

Physics

Condensed Matter

Soft Condensed Matter

6 pages, including 6 figures. Uses Epic and EEpic macros (provided)

Scientific paper

10.1209/epl/i1997-00514-3

The solid--fluid phase transition of a granular material shaken horizontally is investigated numerically. We find that it is a second-order phase transition and propose two order parameters, namely the averaged kinetic energy and the averaged granular temperature, to determine the fluidization point precisely. It scales with the acceleration of the external vibration. Using this fluidization point as critical point, we discuss the scaling of the kinetic energy and show that the kinetic energy and the granular temperature show two different universal critical point exponents for a wide range of excitation amplitudes.

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