Domain formation in transitions with noise and time-dependent bifurcation parameter
G. D. Lythe
Abstract
The characteristic size for spatial structure, that emerges when the bifurcation parameter in model partial differential equations is slowly increased through its critical value, depends logarithmically on the size of added noise. Numerics and analysis are presented for the real Ginzburg-Landau and Swift-Hohenberg equations.
Create a lesson
Related papers
Amplifying Phenomenal Information: Toward a Fundamental Theory of Consciousness
L. Gabora
Cumulant Dynamics of a Population under Multiplicative Selection, Mutation and Drift
Magnus Rattray, Jonathan L. Shapiro
A microsimulation of traders activity in the stock market: the role of heterogeneity, agents' interactions and trade frictions
Giulia Iori
Number-conserving cellular automaton rules
Nino Boccara, Henryk Fuks
The Importance of Being Discrete - Life Always Wins on the Surface
Nadav M. Shnerb, Yoram Louzoun, Eldad Bettelheim et al.
Fitness versus Longevity in Age-Structured Population Dynamics
W. Hwang, P. L. Krapivsky, S. Redner