# Diffusion in the presence of scale-free absorbing boundaries.

@article{Alfasi2014DiffusionIT, title={Diffusion in the presence of scale-free absorbing boundaries.}, author={Nir Alfasi and Yacov Kantor}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2014}, volume={91 4}, pages={ 042126 } }

Scale-free surfaces, such as cones, remain unchanged under a simultaneous expansion of all coordinates by the same factor. Probability density of a particle diffusing near such absorbing surface at large time approaches a simple form that incorporates power-law dependencies on time and distance from a special point, such as apex of the cone, which are characterized by a single exponent η. The same exponent is used to describe the number of spatial conformations of long ideal polymer attached to…

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