Title:
Dynamical Structure of Eccentric TDE Discs

Abstract:
Whether TDEs circularise or accrete directly as 
a highly eccentric disc is the subject of current research and 
appears to depend sensitively on the disc thermodynamics. 
One aspect of this problem that has not received much attention is 
that a highly eccentric disc must have a strong, non-hydrostatic variation
of the disc scale height around each orbit. As a complement to 
numerical simulations carried out by other groups, we investigate 
the dynamical structure of TDE discs using the nonlinear theory of 
eccentric accretion discs. In particular, we study the variation of 
physical quantities around each elliptical orbit, taking into account 
the dynamical vertical structure, as well as viscous dissipation and 
radiative cooling. The solutions include a structure similar to 
the nozzle shock seen in simulations. We identify distinct physical regimes 
depending on the eccentricity and its gradient, as well as 
the thermodynamic properties of the disc.