NOISE and ULTRAVIOLET DIVERGENCES IN SIMULATIONS of GINZBURG-LANDAU-LANGEVIN TYPE of EQUATIONS
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Data
2012-08-01
Autores
Cassol-Seewald, N. C. [UNESP]
Farias, R. L. S.
Krein, Gastão Inácio [UNESP]
Marques de Carvalho, R. S.
Título da Revista
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Título de Volume
Editor
World Scientific Publ Co Pte Ltd
Resumo
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 Schrodinger 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.
Descrição
Palavras-chave
Dynamical phase transitions, stochastic quantization
Como citar
International Journal of Modern Physics C. Singapore: World Scientific Publ Co Pte Ltd, v. 23, n. 8, p. 9, 2012.