2010/12/18 by R. Golub, Golub, R., C. M. Swank +1
Physics and Astronomy · #Atomic Physics (physics.atom-ph) #Classical Physics (physics.class-ph) #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #physics.atom-ph #physics.class-ph
paper · pdf · doi:10.48550/arxiv.1012.4006
10 pages, 4 figures first results
arxiv created 2010/12/18 · arxiv updated 2010/12/21
There are many fields where the transition from diffusive to ballistic motion is important. Here we deal with relaxation processes in nmr in gases. Correlation functions for trajectory variables (position and velocity) valid across this transition are known for several geometries in the case of specular wall reflections. In this work we show that the conditional probability density p(r,t|r0,t0) for a random walk satisfies the telegrapher's equation and present an analytic solution for this function. We will use it for calculating the relaxation due to an axion mediated force and a magnetic dipole impurity.