Effect of Microscopic Noise on Front Propagation
作者： Éric Brunet , Bernard Derrida
关键词: Work (thermodynamics) 、 Wavefront 、 Position (vector) 、 Computational physics 、 Fick's laws of diffusion 、 Measure (mathematics) 、 Noise (radio) 、 Statistical physics 、 Marginal stability 、 Physics 、 Front (oceanography)
摘要: We study the effect of noise due to microscopic fluctuations on position a one dimensional front propagating from stable an unstable region in “linearly marginal stability case.” By simulating very simple system for which effective number N particles can be as large N=10150, we measure dependence diffusion constant DN and shift its velocity vN. Our results indicate that DN∼(log N)−3. They also confirm our recent claim scales like vmin−vN≃K(log N)−2 numerical value K is close analytical expression Kapprox obtained previous work using cut-off approximation.
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