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- Title
Diffusion in -deformed space and spectral dimension.
- Authors
Anjana, V.
- Abstract
In this paper, we derive the expression for spectral dimension using a modified diffusion equation in the -deformed spacetime. We start with the Beltrami-Laplace operator in the -Minkowski spacetime and obtain the deformed diffusion equation. From the solution of this deformed diffusion equation, we calculate the spectral dimension which depends on the deformation parameter '' and also on an integer '', apart from the topological dimension. Using this, we show that, for large diffusion times the spectral dimension approaches the usual topological dimension whereas spectral dimension diverges to for and for at high energies.
- Subjects
HEAT equation; SPECTRUM analysis; LAPLACE'S equation; TOPOLOGICAL derivatives; PARTICLES (Nuclear physics)
- Publication
Modern Physics Letters A, 2016, Vol 31, Issue 9, p1
- ISSN
0217-7323
- Publication type
Article
- DOI
10.1142/S0217732316500565