Labyrinthine patterns transitions
Macroscopic systems with injection and dissipation of energy exhibit intricate dissipative structures. Labyrinthine patterns are disordered spatial structures arising into homogeneous media that show a short-range order. Here, we investigate the stability properties, classification, and transitions...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2020-12-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.042036 |
| _version_ | 1827285945343279104 |
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| author | S. Echeverría-Alar M. G. Clerc |
| author_facet | S. Echeverría-Alar M. G. Clerc |
| author_sort | S. Echeverría-Alar |
| collection | DOAJ |
| description | Macroscopic systems with injection and dissipation of energy exhibit intricate dissipative structures. Labyrinthine patterns are disordered spatial structures arising into homogeneous media that show a short-range order. Here, we investigate the stability properties, classification, and transitions of labyrinthine patterns. Based on a prototype pattern forming model, we characterize the existence of three types of labyrinthine patterns—fingerprint type, glassy, and scurfy—and reveal the bifurcation diagram. The defects density, free energy, structure factor, and correlation length are used as order parameters. |
| first_indexed | 2024-04-24T10:22:04Z |
| format | Article |
| id | doaj.art-d3320d19e44e40bdb3a4e20d3e6788e5 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:22:04Z |
| publishDate | 2020-12-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-d3320d19e44e40bdb3a4e20d3e6788e52024-04-12T17:04:47ZengAmerican Physical SocietyPhysical Review Research2643-15642020-12-012404203610.1103/PhysRevResearch.2.042036Labyrinthine patterns transitionsS. Echeverría-AlarM. G. ClercMacroscopic systems with injection and dissipation of energy exhibit intricate dissipative structures. Labyrinthine patterns are disordered spatial structures arising into homogeneous media that show a short-range order. Here, we investigate the stability properties, classification, and transitions of labyrinthine patterns. Based on a prototype pattern forming model, we characterize the existence of three types of labyrinthine patterns—fingerprint type, glassy, and scurfy—and reveal the bifurcation diagram. The defects density, free energy, structure factor, and correlation length are used as order parameters.http://doi.org/10.1103/PhysRevResearch.2.042036 |
| spellingShingle | S. Echeverría-Alar M. G. Clerc Labyrinthine patterns transitions Physical Review Research |
| title | Labyrinthine patterns transitions |
| title_full | Labyrinthine patterns transitions |
| title_fullStr | Labyrinthine patterns transitions |
| title_full_unstemmed | Labyrinthine patterns transitions |
| title_short | Labyrinthine patterns transitions |
| title_sort | labyrinthine patterns transitions |
| url | http://doi.org/10.1103/PhysRevResearch.2.042036 |
| work_keys_str_mv | AT secheverriaalar labyrinthinepatternstransitions AT mgclerc labyrinthinepatternstransitions |