Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Pechmann, Maximilian"'
Publikováno v:
J. Math. Pures Appl. (2024)
We study interacting Bose gases of dimensions $2\le d \in \mathbb N$ at zero temperature in a random model known as the Kac-Luttinger model. Choosing the pair-interaction between the bosons to be of a mean-field type, we prove (complete) Bose-Einstei
Externí odkaz:
http://arxiv.org/abs/2312.14357
Publikováno v:
In Journal de mathématiques pures et appliquées September 2024 189
Autor:
Kerner, Joachim, Pechmann, Maximilian
Publikováno v:
Journal of Applied Probability (2022)
We study Bose gases in $d$ dimensions, $d \ge 2$, with short-range repulsive pair interactions, at positive temperature, in the canonical ensemble and in the thermodynamic limit. We assume the presence of hard Poissonian obstacles and focus on the no
Externí odkaz:
http://arxiv.org/abs/2110.04587
Autor:
Pechmann, Maximilian
We study Bose-Einstein condensation (BEC) in one-dimensional noninteracting Bose gases in Poisson random potentials on $\mathbb R$ with single-site potentials that are nonnegative, compactly supported, and bounded measurable functions in the grand-ca
Externí odkaz:
http://arxiv.org/abs/2012.15757
Autor:
Kerner, Joachim, Pechmann, Maximilian
Publikováno v:
Proc. Amer. Math. Soc. (2021)
In this paper we investigate the effect of repulsive pair interactions on Bose-Einstein condensation in a well-established random one-dimensional system known as the Luttinger-Sy model at positive temperature. We study separately hard core interactio
Externí odkaz:
http://arxiv.org/abs/2007.06448
Publikováno v:
Journal de Math. Pures et Appli. (2020)
In this paper we discuss Bose-Einstein condensation (BEC) in systems of pairwise non-interacting bosons in random potentials in $d$ dimensions. Working in a rather general framework, we provide a "gap condition" which is sufficient to conclude existe
Externí odkaz:
http://arxiv.org/abs/1911.03200
Publikováno v:
Journal of Statistical Physics (2019)
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 a
Externí odkaz:
http://arxiv.org/abs/1808.10811
Publikováno v:
Annales Henri Poincar\'e (2019)
We study bosons on the real line in a Poisson random potential (Luttinger--Sy model) with contact interaction in the thermodynamic limit at absolute zero temperature. We prove that generalized Bose--Einstein condensation (BEC) occurs almost surely if
Externí odkaz:
http://arxiv.org/abs/1804.07697
Publikováno v:
In Journal de mathématiques pures et appliquées November 2020 143:287-310
Autor:
Pechmann, Maximilian1 (AUTHOR) mpechmann@utk.edu
Publikováno v:
Journal of Statistical Physics. Dec2022, Vol. 189 Issue 3, p1-34. 34p.