NOISE AND ULTRAVIOLET DIVERGENCES IN SIMULATIONS OF GINZBURG–LANDAU–LANGEVIN TYPE OF EQUATIONS

N. C. Cassol-Seewald, R. L. S. Farias, G. Krein and R. S. Marques de Carvalho
Additional contact information
N. C. Cassol-Seewald: Instituto de Física Teórica, Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271 — Bloco II, 01140-070 — São Paulo, SP, Brazil
R. L. S. Farias: Departamento de Ciências Naturais, Universidade Federal de São João Del Rei, 36301-000 — São João Del Rei, MG, Brazil
G. Krein: Instituto de Física Teórica, Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271 — Bloco II, 01140-070 — São Paulo, SP, Brazil
R. S. Marques de Carvalho: Departamento de Informática em Saúde, Escola Paulista de Medicina — UNIFESP, Rua Botucatu, 862 — Térreo, 04023-062 — São Paulo, SP, Brazil

International Journal of Modern Physics C (IJMPC), 2012, vol. 23, issue 08, 1-9

Abstract: The time evolution of an order parameter towards equilibrium can be described by nonlinear Ginzburg–Landau (GL) type of equations, also known as time-dependent nonlinear Schrödinger equations. Environmental effects of random nature are usually taken into account by noise sources, turning the GL equations into stochastic equations. Noise sources give rise to lattice-spacing dependence of the solutions of the stochastic equations. We present a systematic method to renormalize the equations on a spatial lattice to obtain lattice-spacing independent solutions. We illustrate the method in approximation schemes designed to treat nonlinear and nonlocal GL equations that appear in real time thermal field theory and stochastic quantization.

Keywords: Dynamical phase transitions; stochastic quantization; 05.10.-a; 05.10.Gg; 64.60.Ht; 11.15.Ha (search for similar items in EconPapers)
Date: 2012
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183112400165
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:23:y:2012:i:08:n:s0129183112400165

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183112400165

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().