We study the thermoelectric properties of a superconductor-insulator-s
uperconductor Josephson junction. The total electrical current across
the junction is composed of three parts: a normal current, a Josephson
current, and an interference current. We show that only the normal pa
rt contributes to a thermocurrent (i.e., an electrical current that fl
ows in response to a temperature drop). The fact that the interference
current has no thermoelectric properties provides insight into the ph
ysical nature of this term. We distinguish between two mechanisms for
the thermocurrent: one is the normal thermoelectric tunneling current;
the other is a transport phenomenon, which ensues from a nonequilibri
um (charge-imbalance) state in the bulk superconductors comprising the
junction. The latter effect gives rise to a phase-dependent thermocur
rent. Finally, we consider an open-circuit Josephson junction biased b
y a temperature drop. The possible steady states of the system are stu
died using the resistively shunted junction model. In particular, we c
onsider the zero-voltage state which corresponds to canceling of the q
uasiparticle and condensate currents. We call this a thermophase effec
t. Experimental setups are suggested in order to detect this effect.