Inferring nonlinear parabolic field equations from modulus data
其他凝聚态物理
2009-11-10 v1
摘要
We give a means for measuring the equation of evolution of a complex scalar field that is known to obey an otherwise unspecified (2+1)-dimensional dissipative nonlinear parabolic differential equation, given field moduli over three closely-spaced planes. The formalism is tested by recovering nonlinear interactions and the associated equation of motion from simulated data for a range of (2+1)-dimensional nonlinear systems, including those which exhibit spontaneous symmetry breaking. The technique is of broad applicability, being able to infer a wide class of partial differential equations, which govern systems ranging from nonlinear optics to quantum fluids.
引用
@article{arxiv.cond-mat/0411663,
title = {Inferring nonlinear parabolic field equations from modulus data},
author = {Rotha P. Yu and David M. Paganin and Michael J. Morgan},
journal= {arXiv preprint arXiv:cond-mat/0411663},
year = {2009}
}
备注
13 pages, 3 figures