
TL;DR
This paper introduces an enhanced Ginzburg-Landau method incorporating a moving average and high-frequency mode sum to better describe inhomogeneous phases and phase transitions.
Contribution
It presents a novel approach that improves the standard Ginzburg-Landau expansion for inhomogeneous phases by including long-wavelength and high-frequency effects.
Findings
Better description of inhomogeneous phases
Comparison of free energies of 1D and 2D structures
Improved modeling of phase transition dynamics
Abstract
We discuss an innovative method for the description of inhomogeneous phases designed to improve the standard Ginzburg-Landau expansion. The method is characterized by two key ingredients. The first one is a moving average of the order parameter designed to account for the long-wavelength modulations of the condensate. The second one is a sum of the high frequency modes, to improve the description of the phase transition to the restored phase. The method is applied to compare the free energies of 1D and 2D inhomogeneous structures arising in the chirally symmetric broken phase.
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