| Autor: |
Kerner, Joachim, Pechmann, Maximilian, Spitzer, Wolfgang |
| Rok vydání: |
2018 |
| Předmět: |
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| Zdroj: |
Journal of Statistical Physics (2019) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1007/s10955-019-02240-4 |
| Popis: |
We study Bose-Einstein condensation (BEC) in the Luttinger-Sy model. Here, Bose point particles in one spatial dimension do not interact with each other, but, through a positive (repulsive) point potential with impurities which are randomly located along the real line according to the points of a Poisson process. Our emphasis is on the case in which the interaction strength is not infinite. As a main result, we prove that in thermal equilibrium the one-particle ground state is macroscopically occupied, provided that the particle density is larger than a critical one depending on the temperature. |
| Databáze: |
arXiv |
| Externí odkaz: |
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