Information-entropic signature of the critical point
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2015-07-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269315003950 |
| _version_ | 1811225304455184384 |
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| author | Marcelo Gleiser Damian Sowinski |
| author_facet | Marcelo Gleiser Damian Sowinski |
| author_sort | Marcelo Gleiser |
| collection | DOAJ |
| description | 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. We reproduce the behavior of the CE at criticality with a percolating many-bubble model. |
| first_indexed | 2024-04-12T09:04:44Z |
| format | Article |
| id | doaj.art-3d0d0cc331964b40bde569bdc5f0af30 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-04-12T09:04:44Z |
| publishDate | 2015-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-3d0d0cc331964b40bde569bdc5f0af302022-12-22T03:39:08ZengElsevierPhysics Letters B0370-26931873-24452015-07-01747C12512810.1016/j.physletb.2015.05.058Information-entropic signature of the critical pointMarcelo GleiserDamian SowinskiWe 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. We reproduce the behavior of the CE at criticality with a percolating many-bubble model.http://www.sciencedirect.com/science/article/pii/S0370269315003950 |
| spellingShingle | Marcelo Gleiser Damian Sowinski Information-entropic signature of the critical point Physics Letters B |
| title | Information-entropic signature of the critical point |
| title_full | Information-entropic signature of the critical point |
| title_fullStr | Information-entropic signature of the critical point |
| title_full_unstemmed | Information-entropic signature of the critical point |
| title_short | Information-entropic signature of the critical point |
| title_sort | information entropic signature of the critical point |
| url | http://www.sciencedirect.com/science/article/pii/S0370269315003950 |
| work_keys_str_mv | AT marcelogleiser informationentropicsignatureofthecriticalpoint AT damiansowinski informationentropicsignatureofthecriticalpoint |