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Thermal Effects in Gravitational Hartree Systems.
- Source :
-
Annales Henri Poincaré . Sep2011, Vol. 12 Issue 6, p1055-1079. 25p. - Publication Year :
- 2011
-
Abstract
- We consider the non-relativistic Hartree model in the gravitational case, i.e. with attractive Coulomb-Newton interaction. For a given mass M > 0, we construct stationary states with non-zero temperature T by minimizing the corresponding free energy functional. It is proved that minimizers exist if and only if the temperature of the system is below a certain threshold T* > 0 (possibly infinite), which itself depends on the specific choice of the entropy functional. We also investigate whether the corresponding minimizers are mixed or pure quantum states and characterize a critical temperature $${T_c \in (0, T*)}$$ above which mixed states appear. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TEMPERATURE
*PARTICLES
*ASTROPHYSICS
*EIGENVALUES
*EIGENFUNCTIONS
Subjects
Details
- Language :
- English
- ISSN :
- 14240637
- Volume :
- 12
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Annales Henri Poincaré
- Publication Type :
- Academic Journal
- Accession number :
- 63577454
- Full Text :
- https://doi.org/10.1007/s00023-011-0096-1