Information-entropic signature of the critical point
Here, we investigate the critical behavior of continuous (second-order) phase transitions in the context of (2 + 1)-dimensional Ginzburg–Landau models with a double-well effective potential. In particular, we show that the recently-proposed configurational entropy (CE)—a measure of the spatial complexity of the order parameter in momentum space based on its Fourier-mode decomposition—can be used to identify the critical point. We compute the CE for different temperatures and show that large spatial fluctuations near the critical point (Tc)—characterized by a divergent correlation length—lead to a sharp decrease in the associated configurational entropy. We further show that the CE density goes from a scale-free to an approximate scaling behavior |k|–5/3 as the critical point is approached. As a result, we reproduce the behavior of the CE at criticality with a percolating many-bubble model.
- Research Organization:
- Dartmouth College, Hanover, NH (United States)
- Sponsoring Organization:
- USDOE
- Grant/Contract Number:
- SC0010386; 48038
- OSTI ID:
- 1209772
- Alternate ID(s):
- OSTI ID: 1457029
- Journal Information:
- Physics Letters B, Journal Name: Physics Letters B Vol. 747 Journal Issue: C; ISSN 0370-2693
- Publisher:
- ElsevierCopyright Statement
- Country of Publication:
- Netherlands
- Language:
- English
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