Levy distribution in half space based on nonextensive statistical mechanics
| dc.creator | Rajagopal, A. K. | |
| dc.creator | Abe, Sumiyoshi | |
| dc.date | 2000-03-17 | |
| dc.date | 2000-03-30 | |
| dc.date.accessioned | 2026-07-07T02:37:07Z | |
| dc.date.available | 2026-07-07T02:37:07Z | |
| dc.description | Probability distributions defined on the half space are known to be quite different from those in the full space. Here, a nonextensive entropic treatment is presented for the half space in an analytic and self-consistent way. In this development, the ordinary first moment of the random variable X is divergent in contrast to the case of the full space. A general (nu)-th moment of X is considered as a constraint in the principle of maximum Tsallis entropy. The infinite divisibility of the distribution with an arbitrary (nu) larger than zero and convergence of its N-fold convolution to the exact Levy-stable distribution is discussed in detail. A feature of this derivation is that the Levy index is related to both the values of (nu) and the index of nonextensivity. | |
| dc.description | 10 pages. Some minor corrections are made, which do not alter the conclusions | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0003304 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0003304 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/16169 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Levy distribution in half space based on nonextensive statistical mechanics | |
| dc.type | text |