Diffusion in the presence of scale-free absorbing boundaries
| Autor: | Yacov Kantor, Nir Alfasi |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Surface (mathematics)
Diffusion equation Statistical Mechanics (cond-mat.stat-mech) Computer simulation Polymers Surface Properties Entropy Mathematical analysis FOS: Physical sciences Probability density function Condensed Matter - Soft Condensed Matter Saponins Molecular physics Triterpenes Diffusion Models Chemical Exponent Soft Condensed Matter (cond-mat.soft) Particle Ideal (ring theory) Diffusion (business) Condensed Matter - Statistical Mechanics Mathematics |
| Zdroj: | Physical Review E. 91 |
| ISSN: | 1550-2376 1539-3755 |
| Popis: | 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 $\eta$. The same exponent is used to describe the number of spatial conformations of long ideal polymer attached to the special point of a repulsive surface of the same geometry and can be used in calculation of entropic forces between such polymers and surfaces. We use the solution of diffusion equation near such surfaces to find the numerical values of $\eta$, as well as to provide some insight into the behavior of ideal polymers near such surfaces. Comment: 7 pages, 7 figures |
| Databáze: | OpenAIRE |
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