Pattern Dynamics of Rayleigh-Benard convective rolls and weakly segregated diblock copolymers

TL;DR

This paper compares the pattern dynamics of Rayleigh-Benard convection and diblock copolymers, revealing they share similar growth exponents and belong to the same universality class through numerical and analytical analysis.

Contribution

It demonstrates that the pattern growth in both systems follows the same scaling laws, unifying their dynamical behavior under a common theoretical framework.

Findings

Both systems exhibit the same growth exponents.

Numerical and analytical results support universality.

Patterns evolve similarly in both regimes.

Abstract

We consider the pattern dynamics of the lamellar phases observed in Rayleigh-Benard convection, as described by the Swift-Hohenberg equation, and in the weak segregation regime of diblock copolymers. Both numerical and analytical investigations show that the dynamical growth of the characteristic length scale in both systems is described by the same growth exponents, thus suggesting that both systems are members of the same universality class.