Self-Averaged Scaling Limits for Random Parabolic Waves

Details Self-Averaged Scaling Limits for Random Parabolic Waves Self-Averaged Scaling Limits for Random Parabolic Waves

2003-05-30

arxiv.org/abs/math-ph/0306001v3

Archives of Rational Mechanics and Analysis 175:3 (2005), pp. 343 - 387

Physics

Mathematical Physics

Scientific paper

We consider 6 types of scaling limits for the Wigner-Moyal equation of the parabolic waves in random media, the limiting cases of which include the radiative transfer limit, the diffusion limit and the white-noise limit. We show under fairly general assumptions on the random refractive index field that sufficient amount of medium diversity (thus excluding the white-noise limit) leads to statistical stability or self-averaging in the sense that the limiting law is deterministic and is governed by various transport equations depending on the specific scaling involved. We obtain 6 different radiative transfer equations as limits.

Affiliated with

Also associated with

No associations

Rating

Self-Averaged Scaling Limits for Random Parabolic Waves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Self-Averaged Scaling Limits for Random Parabolic Waves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Self-Averaged Scaling Limits for Random Parabolic Waves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-141047