The thermodynamics of D-branes and of open superstrings in background gauge
fields is studied. It is shown that D-brane dynamics forbids constant velo
city motion at finite temperature. T duality is used to interpret this feat
ure as a consequence of the absence of an equilibrium state of charged stri
ngs at finite temperature in a constant background electric field, as a res
ult of Debye screening of electric fields. The effective action for the Pol
yakov loop operator is computed and the corresponding screening solutions a
re described. The finite temperature theory is also used to illustrate the
importance of carefully incorporating Wu-Yang terms into the string path in
tegral for compact target spaces. [S0556-2821(99)00722-5].