  Thermal wave packets are used to analyze transmission probabilities and
characteristic times through a parabolic repeller within the dissipative
Bohmian mechanics. Thermal arrival, dwelling, transmission and reflection times
are defined and calculated by using a Maxwell-Boltzmann distribution for the
initial velocities of the incident particles. The dissipation is considered
within the Caldirola-Kanai and Kostin approaches where a linear and nonlinear
framework is used, respectively. The initial parameters are chosen to have only
a dissipative tunnelling dynamics at zero temperature; at any nonzero
temperature, transmission proceeds not only via tunnelling.
