Diffusion in the presence of scale-free absorbing boundaries.

  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},
  volume={91 4},
  • N. AlfasiY. Kantor
  • Published 8 December 2014
  • Mathematics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
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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