Random-search efficiency in a bounded interval with spatially heterogeneous diffusion coefficient
Random-search efficiency in a bounded interval with spatially heterogeneous diffusion coefficient
Abstract We consider random walkers searching for a target in a bounded 1D heterogeneous environment, in the interval <?CDATA $[0,L]$?> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mo stretchy="false">[</mml:mo> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mi>L</mml:mi> <mml:mo stretchy="false">]</mml:mo> </mml:math> , where diffusion is described by a space-dependent diffusion coefficient D ( x ). Boundary conditions are absorbing at …