NOISE and ULTRAVIOLET DIVERGENCES in SIMULATIONS of GINZBURG-LANDAU-LANGEVIN TYPE of EQUATIONS

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2012-08-01
Autores
Cassol-Seewald, N. C.
Farias, R. L. S.
Krein, G.
Marques de Carvalho, R. S. [UNIFESP]
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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.
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International Journal of Modern Physics C. Singapore: World Scientific Publ Co Pte Ltd, v. 23, n. 8, 9 p., 2012.