Deterministic description of a phase transition in a medium of interacting waves
We describe an effect of phase-locking catastrophe arising in an ensemble of a great number of oscillators interacting by means of their emitting waves. These waves can be either pulsatile, that is, soliton-like, or continuous stationary waves generated by the oscillators considered as resonators. E...
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| Format: | Article |
| Language: | English |
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Copernicus Publications
2000-01-01
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| Series: | Nonlinear Processes in Geophysics |
| Online Access: | http://www.nonlin-processes-geophys.net/7/117/2000/npg-7-117-2000.pdf |
| _version_ | 1818241630856019968 |
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| author | J. Vassalo Pereira |
| author_facet | J. Vassalo Pereira |
| author_sort | J. Vassalo Pereira |
| collection | DOAJ |
| description | We describe an effect of phase-locking catastrophe arising in an ensemble of a great number of oscillators interacting by means of their emitting waves. These waves can be either pulsatile, that is, soliton-like, or continuous stationary waves generated by the oscillators considered as resonators. Each one of these waves will introduce certain perturbations among the phases of the oscillators of the ensemble in such a way that it is possible to follow in time the distribution of these phases. In fact, we deduce the p.d.e's governing the evolution in time of this distribution, which displays a tendency of accumulating around certain of its values (phase-locking), and also of sudden increasing of the intensity of the physical effect (a 'phase transition'). |
| first_indexed | 2024-12-12T13:32:24Z |
| format | Article |
| id | doaj.art-dae73f3a89654c799bbafd43efeb3380 |
| institution | Directory Open Access Journal |
| issn | 1023-5809 1607-7946 |
| language | English |
| last_indexed | 2024-12-12T13:32:24Z |
| publishDate | 2000-01-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Nonlinear Processes in Geophysics |
| spelling | doaj.art-dae73f3a89654c799bbafd43efeb33802022-12-22T00:23:02ZengCopernicus PublicationsNonlinear Processes in Geophysics1023-58091607-79462000-01-0171/2117126Deterministic description of a phase transition in a medium of interacting wavesJ. Vassalo PereiraWe describe an effect of phase-locking catastrophe arising in an ensemble of a great number of oscillators interacting by means of their emitting waves. These waves can be either pulsatile, that is, soliton-like, or continuous stationary waves generated by the oscillators considered as resonators. Each one of these waves will introduce certain perturbations among the phases of the oscillators of the ensemble in such a way that it is possible to follow in time the distribution of these phases. In fact, we deduce the p.d.e's governing the evolution in time of this distribution, which displays a tendency of accumulating around certain of its values (phase-locking), and also of sudden increasing of the intensity of the physical effect (a 'phase transition').http://www.nonlin-processes-geophys.net/7/117/2000/npg-7-117-2000.pdf |
| spellingShingle | J. Vassalo Pereira Deterministic description of a phase transition in a medium of interacting waves Nonlinear Processes in Geophysics |
| title | Deterministic description of a phase transition in a medium of interacting waves |
| title_full | Deterministic description of a phase transition in a medium of interacting waves |
| title_fullStr | Deterministic description of a phase transition in a medium of interacting waves |
| title_full_unstemmed | Deterministic description of a phase transition in a medium of interacting waves |
| title_short | Deterministic description of a phase transition in a medium of interacting waves |
| title_sort | deterministic description of a phase transition in a medium of interacting waves |
| url | http://www.nonlin-processes-geophys.net/7/117/2000/npg-7-117-2000.pdf |
| work_keys_str_mv | AT jvassalopereira deterministicdescriptionofaphasetransitioninamediumofinteractingwaves |