You could make the field a compound value that includes (conceptually) a process-ID and a timestamp. [Better yet, use two or more fields.] Start a thread in the process that owns access to the field, and have it loop, sleeping and updating the timestamp. Then a polling process that is waiting to own access to the field can observe that the timestamp has not updated in some time T (which is much greater than the time of the updating loop's sleep interval) and assume that the previously-owning process has died.
But this is still prone to failure.
In other languages, I always try to use flock() calls to synchronize on a file. Not sure what the Java equivalent is. Get real concurrency if you at all possibly can.
