Phase transitions in a symmetry-conserving framework - INSPIRE

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Phase transitions in a symmetry-conserving framework

Sep 3, 2019

Part of Proceedings, Symmetries and Order: Algebraic Methods in Many Body Systems: In honor of Francesco Iachello, on the occasion of his retirement : New Haven, CT, October 5-6, 2018

Published in:

AIP Conf.Proc. 2150 (2019) 1, 030002

Contribution to:

Symmetries and Order: Algebraic Methods in Many Body Systems

Published: Sep 3, 2019

DOI:

10.1063/1.5124591

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Abstract: (AIP)

Phase transitions are often associated with the breaking of a symmetry in the low-temperature phase described by non-vanishing values of certain order parameters. However, in finite-size systems the correlated equilibrium configuration preserves the symmetries of the underlying Hamiltonian. We discuss a method to calculate the statistical distribution of the order parameters without breaking the corresponding symmetries. The maxima of these statistical distributions mimic the phase transitions that are found in a mean-field approximation. We demonstrate the method for the case of shape transitions in atomic nuclei.

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