Survival Probability of a Ballistic Tracer Particle in the Presence of Diffusing Traps

Details Survival Probability of a Ballistic Tracer Particle in the Presence of Diffusing Traps Survival Probability of a Ballistic Tracer Particle in the Presence of Diffusing Traps

2003-05-16

arxiv.org/abs/cond-mat/0305386v1

Phys. Rev. E 68, 045101 (2003)

Physics

Condensed Matter

Statistical Mechanics

RevTeX, 4 pages

Scientific paper

10.1103/PhysRevE.68.045101

We calculate the survival probability P_S(t) up to time t of a tracer particle moving along a deterministic trajectory in a continuous d-dimensional space in the presence of diffusing but mutually noninteracting traps. In particular, for a tracer particle moving ballistically with a constant velocity c, we obtain an exact expression for P_S(t), valid for all t, for d<2. For d \geq 2, we obtain the leading asymptotic behavior of P_S(t) for large t. In all cases, P_S(t) decays exponentially for large t, P_S(t) \sim \exp(-\theta t). We provide an explicit exact expression for the exponent \theta in dimensions d \leq 2, and for the physically relevant case, d=3, as a function of the system parameters.

Affiliated with

Also associated with

No associations

Rating

Survival Probability of a Ballistic Tracer Particle in the Presence of Diffusing Traps 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 Survival Probability of a Ballistic Tracer Particle in the Presence of Diffusing Traps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Survival Probability of a Ballistic Tracer Particle in the Presence of Diffusing Traps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-545114