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Título: | Fronts, Domain Growth and Dynamical Scaling in a d=1 non-Potential System |
Autor: | Gallego, Rafael CSIC; San Miguel, Maxi CSIC ORCID ; Toral, Raúl CSIC ORCID | Fecha de publicación: | 1998 | Editor: | American Physical Society | Citación: | Physical Review E 58(3): 3125-3134 (1998) | Resumen: | By considering the inclusion of nonpotential terms in a model system that has the basic symmetries of a n=3 clock model, we study the issues of dynamical scaling, front motion, and domain growth in a one-dimensional nonpotential situation. For such a system without a Lyapunov potential, the evolution follows a nonrelaxational dynamics with the consequence that fronts between otherwise equivalent homogeneous states move at a velocity dictated by the strength δ of the nonpotential terms and the asymptotic state can no longer be associated with a final equilibrium state. In fact, for large enough δ, the system undergoes a transition towards a situation of spatiotemporal chaos that is in many aspects equivalent to the Küppers-Lortz instability for Rayleigh-Bénard convection in a rotating cell. We have focused on the transient dynamics below this instability, where the evolution is still nonrelaxational and the dynamics is dominated by front motion. We classify the families of fronts and calculate their shape and velocity. We deduce that the growth law for the domain size is nearly logarithmic with time for short times and becomes linear after a crossover, whose width is determined by the value of δ. This prediction is validated by numerical simulations that also indicate that a scaling description in terms of the characteristic domain size is still valid as in the potential case. | Descripción: | PACS number~s!: 47.20.2k, 47.54.1r, 05.70.Ln | Versión del editor: | http://dx.doi.org/10.1103/PhysRevE.58.3125 | URI: | http://hdl.handle.net/10261/56229 | DOI: | 10.1103/PhysRevE.58.3125 | ISSN: | 1539-3755 | E-ISSN: | 1550-2376 |
Aparece en las colecciones: | (IMEDEA) Artículos |
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Fronts, Domain Growth.pdf | 232,63 kB | Adobe PDF | Visualizar/Abrir |
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