15-20 June 2014
Laurentian University / Université Laurentienne
America/Toronto timezone
Welcome to the 2014 CAP Congress! / Bienvenue au congrès de l'ACP 2014!

Analytic derivation of the substellar mass limit for a non-zero degeneracy parameter

17 Jun 2014, 15:00
C-309 (Laurentian University / Université Laurentienne)


Laurentian University / Université Laurentienne

Sudbury, Ontario
Oral (Student, In Competition) / Orale (Étudiant(e), inscrit à la compétition) Theoretical Physics / Physique théorique (DTP-DPT) (T2-1) Theoretical Astrophysics - DTP / Astrophysique théorique - DPT


Mr Sayantan Auddy (Student)


We develop an analytic formulation to find the internal structure of sub-stellar objects. This yields a value for a minimum stellar mass that denotes the boundary between brown dwarfs and stars. Our method employs an exact expression for the pressure of an ideal non-relativistic Fermi gas at finite temperature, meaning that the parameter $\psi$ is non zero. Our model gives a more accurate pressure than using the purely degenerate ($\psi =0$ ) limit. Integration of the Fermi distribution to yield an equation of state can be accomplished using the polylogrithm functions. This equation of state is used to solve the Lane-Emden equation to obtain the surface luminosity of a brown dwarf. On equating it with the luminosity for nuclear burning we find the maximum mass for a brown dwarf, $0.07M_o$. This result is in agreement with the results of the numerical models, but it is simple and provides maximum insight into the physics.

Primary author

Mr Sayantan Auddy (Student)


Dr S.R. Valluri (Professor) Dr Shantanu Basu (Professor)

Presentation Materials