Interface des maths et systèmes complexes

The formation of compact objects at finite temperatures in a self-gravitating bosonic system

par Rahul Pandit (Indian Institute of Science, Bangalore)

Europe/Paris
Description

Self-gravitating bosonic systems are considered to be strong candidates for
dark-matter halos. We study the self-gravitating Bose-Einstein condensate
in the three-dimensional (3D) Gross-Pitaevskii-Poisson Equations (GPPE)
by using a pseudospectral method. We carry out extensive direct numerical
simulations (DNSs), with conserved mass, energy, and momentum (and
2/3 dealiasing), of the Fourier-truncated 3D GPPE to study the formation
of finite-temperature compact objects in this system. In particular, the
Fourier truncation allows us to explore the properties of compact object
here at a finite temperature. We can also get the final states of the GPPE, in
the large-time limit, by fine-tuning the temperature in the Stochastic
Ginzburg-Landau-Poisson equation (SGLPE). We calculate the radius of
the asymptotic compact object, for different values of short-range
interaction between bosons, and its mass at both zero temperature and
finite temperature. We show that suitable initial conditions can also lead to
the formation of a rotating binary star in the GPPE.