Informationentropic signature of the critical point
Abstract
Here, we investigate the critical behavior of continuous (secondorder) phase transitions in the context of (2 + 1)dimensional Ginzburg–Landau models with a doublewell effective potential. In particular, we show that the recentlyproposed configurational entropy (CE)—a measure of the spatial complexity of the order parameter in momentum space based on its Fouriermode 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 ( T _{c})—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 scalefree 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 manybubble model.
 Authors:

 Dartmouth College, Hanover, NH (United States)
 Publication Date:
 Research Org.:
 Dartmouth College, Hanover, NH (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1209772
 Alternate Identifier(s):
 OSTI ID: 1457029
 Grant/Contract Number:
 SC0010386
 Resource Type:
 Journal Article: Published Article
 Journal Name:
 Physics Letters. Section B
 Additional Journal Information:
 Journal Volume: 747; Journal Issue: C; Journal ID: ISSN 03702693
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING
Citation Formats
Gleiser, Marcelo, and Sowinski, Damian. Informationentropic signature of the critical point. United States: N. p., 2015.
Web. doi:10.1016/j.physletb.2015.05.058.
Gleiser, Marcelo, & Sowinski, Damian. Informationentropic signature of the critical point. United States. doi:10.1016/j.physletb.2015.05.058.
Gleiser, Marcelo, and Sowinski, Damian. Wed .
"Informationentropic signature of the critical point". United States. doi:10.1016/j.physletb.2015.05.058.
@article{osti_1209772,
title = {Informationentropic signature of the critical point},
author = {Gleiser, Marcelo and Sowinski, Damian},
abstractNote = {Here, we investigate the critical behavior of continuous (secondorder) phase transitions in the context of (2 + 1)dimensional Ginzburg–Landau models with a doublewell effective potential. In particular, we show that the recentlyproposed configurational entropy (CE)—a measure of the spatial complexity of the order parameter in momentum space based on its Fouriermode 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 scalefree 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 manybubble model.},
doi = {10.1016/j.physletb.2015.05.058},
journal = {Physics Letters. Section B},
issn = {03702693},
number = C,
volume = 747,
place = {United States},
year = {2015},
month = {5}
}
Web of Science
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