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Published on: December 4, 2017
Extended order parameter and conjugate field for the dynamic phase transition in a Ginzburg-Landau mean-field model
Daniel T Robb1, Aaron Ostrander2
1Department of Mathematics, Computer Science and Physics, Roanoke College, Salem, Virginia 24153, USA and Department of Physics, Astronomy and Geology, Berry College, Mount Berry, Georgia 30149, USA.
Abstract:
We present numerical evidence for an extended order parameter and conjugate field for the dynamic phase transition in a Ginzburg-Landau mean-field model driven by an oscillating field. The order parameter, previously taken to be the time-averaged magnetization, comprises the deviations of the Fourier components of the magnetization from their values at the critical period. The conjugate field, previously taken to be the time-averaged magnetic field, comprises the even Fourier components of the field. The scaling exponents β and δ associated with the extended order parameter and conjugate field are shown numerically to be consistent with their values in the equilibrium mean-field model.
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