Domain Walls in Non-Equilibrium Systems and the Emergence of Persistent Patterns
arXiv:patt-sol/9304002 · doi:10.1103/PhysRevE.48.705
Abstract
Domain walls in equilibrium phase transitions propagate in a preferred direction so as to minimize the free energy of the system. As a result, initial spatio-temporal patterns ultimately decay toward uniform states. The absence of a variational principle far from equilibrium allows the coexistence of domain walls propagating in any direction. As a consequence, *persistent* patterns may emerge. We study this mechanism of pattern formation using a non-variational extension of Landau's model for second order phase transitions. PACS numbers: 05.70.Fh, 42.65.Pc, 47.20.Ky, 82.20Mj
12 pages LaTeX, 5 postscript figures To appear in Phys. Rev. E
Cited by in corpus (15)
- Front propagation into unstable states
- Pattern Formation in Dissipative Nonvariational Systems: The Effects of Front Bifurcations
- From Labyrinthine Patterns to Spiral Turbulence
- Complex Patterns in Reaction-Diffusion Systems: A Tale of Two Front Instabilities
- A Nonlocal Contour Dynamics Model for Chemical Front Motion
- Dynamic Front Transitions and Spiral-Vortex Nucleation
- Points, Walls and Loops in Resonant Oscillatory Media
- Bound Pairs of Fronts in a Real Ginzburg-Landau Equation Coupled to a Mean Field
- Traveling kinks in cubic nonlinear Ginzburg-Landau equations
- Domain wall dynamics in an optical Kerr cavity
- Multiple Front Propagation into Unstable States
- Ising-Bloch Transition in Degenerate Optical Parametric Oscillators
- Multiple Front Propagation Into Unstable States
- Superlattice Patterns in the Complex Ginzburg-Landau Equation with Multi-Resonant Forcing
- Complex pattern formation driven by the interaction of stable fronts in a competition-diffusion system