Why patterns appear spontaneously in dissipative systems?
It is proposed that the spatial (and temporal) patterns spontaneously appearing in dissipative systems maximize the energy flow through the pattern forming interface. In other words – the patterns maximize the entropy growth rate in an extended conservative system (consisting of the pattern forming...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
1999-12-01
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| Series: | Nonlinear Analysis |
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| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/15252 |
| _version_ | 1811310980782620672 |
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| author | K. Staliūnas |
| author_facet | K. Staliūnas |
| author_sort | K. Staliūnas |
| collection | DOAJ |
| description | It is proposed that the spatial (and temporal) patterns spontaneously appearing in dissipative systems maximize the energy flow through the pattern forming interface. In other words – the patterns maximize the entropy growth rate in an extended conservative system (consisting of the pattern forming interface and the energy bathes). The proposal is supported by examples of the pattern formation in different systems. No example contradicting the proposal is known. |
| first_indexed | 2024-04-13T10:08:38Z |
| format | Article |
| id | doaj.art-8554527b7e36457ba6fe25135510e584 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-04-13T10:08:38Z |
| publishDate | 1999-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-8554527b7e36457ba6fe25135510e5842022-12-22T02:50:59ZengVilnius University PressNonlinear Analysis1392-51132335-89631999-12-01410.15388/NA.1999.4.0.15252Why patterns appear spontaneously in dissipative systems?K. Staliūnas0Physikalisch-Technische Bundesanstalt, GermanyIt is proposed that the spatial (and temporal) patterns spontaneously appearing in dissipative systems maximize the energy flow through the pattern forming interface. In other words – the patterns maximize the entropy growth rate in an extended conservative system (consisting of the pattern forming interface and the energy bathes). The proposal is supported by examples of the pattern formation in different systems. No example contradicting the proposal is known.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/15252none |
| spellingShingle | K. Staliūnas Why patterns appear spontaneously in dissipative systems? Nonlinear Analysis none |
| title | Why patterns appear spontaneously in dissipative systems? |
| title_full | Why patterns appear spontaneously in dissipative systems? |
| title_fullStr | Why patterns appear spontaneously in dissipative systems? |
| title_full_unstemmed | Why patterns appear spontaneously in dissipative systems? |
| title_short | Why patterns appear spontaneously in dissipative systems? |
| title_sort | why patterns appear spontaneously in dissipative systems |
| topic | none |
| url | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/15252 |
| work_keys_str_mv | AT kstaliunas whypatternsappearspontaneouslyindissipativesystems |