## Abstract

We study the kinetics of phase transitions in a Rayleigh-Benard system after onset of convection using 2D Swift-Hohenberg equation. An initially uniform state evolves to one whose ground state is spatially periodic. We confirmed previous results which showed that dynamical scaling occurs at medium quench (ε = 0.25) with scaling exponents 1/5 and 1/4 under zero noise and finite noise, respectively. We find logarithmic scaling behavior for a deep quench (ε = 0.75) at zero noise. A simple method is devised to measure the proxy of domain wall length. We find that the energy and domain wall length exhibit scaling behavior with the same exponent. For ε = 0.25, the scaling exponents are 1/4 and 0.3 at zero and finite noise, respectively.

Original language | English (US) |
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Pages (from-to) | 219-226 |

Number of pages | 8 |

Journal | Physica A: Statistical Mechanics and its Applications |

Volume | 239 |

Issue number | 1-3 |

DOIs | |

State | Published - May 1 1997 |

## Keywords

- Pattern formation
- Scaling

## ASJC Scopus subject areas

- Statistics and Probability
- Condensed Matter Physics