  In literature on stochastic thermodynamics it is stated that for a system
connected to multiple thermal reservoirs, the transition rates between two
energy levels equals the sum of transition rates corresponding to each thermal
bath the system is connected to. We show that this assumption leads to an
impossibility of the system attaining a steady state by considering a system
connected to two thermal baths. Additionally by splitting up the system into
subsystems with one subsystem connected to one thermal bath and another
subsystem connected to a second bath, and the rest exchanging energy with these
two, we show that the collective evolution of the system as a whole is
non-Markovian.
