  Accelerating mirrors provide a simple conceptual laboratory for studying
particle production and the relation between trajectory and particle, energy,
and entropy fluxes. We focus on the relation between energy and entropy,
studying some special cases with finite total energy but infinite integrated
entropy (though the entropy flux may be finite at any particular moment). We
present a new asymptotically static moving mirror trajectory with solvable beta
Bogolyubov coefficients, total energy and fully relativistic particle count.
The integrated entropy diverges despite finite global radiative particle and
energy emission. Another class of models includes exponentially accelerated
mirrors in proper time; one of its unexpected behaviors is finite energy
emission but divergent entropy. We compare mirrors exponentially accelerated in
other coordinates as well, showing their close relation and an interesting
duality property.
