Universal Temporal Dependence of Survival Probability for Diffusing Particles in Multidimensional Media with Absorbing Traps in an Electric Field

The effect of electric-field-induced reduction of the “effective” dimension is detected in the multidimensional problem of diffusion in a medium with absorbing traps. An effective transition to the 1D case occurs due to directional motion of a particle when it begins to dominate over diffusion. A universal “1D” dependence of the particle survival probability in a multidimensional medium with absorbing traps over long times has been established.