Thermodynamic Properties of Bosons Trapped on Fractal Structures | ||
| Al-Mustansiriyah Journal of Science | ||
| Article 1, Volume 23, Issue 3, April 2012, Pages 113-130 | ||
| Author | ||
| Shatha Khalil Al-Jorani | ||
| Abstract | ||
| A computer simulation study for the thermodynamic behavior of an ideal Bose gas trapped in fractal structures with a harmonic confining potential is carried out. Fractal geometrical effects are introduced by employing an analytic continuation mathematical technique whereas integer dimension D is replaced by fractal dimension D_f wherever it occurs in the conventional thermodynamic formulation of trapped bosons. The emphasis is on observing the Bose-Einstein condensation (BEC) phenomenon in such systems and studying the effect of a fractal dimension for the embedding structure on the detailed behavior. The two cases of Sierpinski carpet fractal with D_(f )≅1.89 and a Menger sponge fractal with D_f ≅2.72 are studied in detail. Feasibility of such studies using the computer programming package MATHEMATICA are confirmed by the general behavior of the results obtained and their agreement with previous studies adopting other computational strategies. | ||
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