Postgres entering zombie state once a week in production evnvironment

We have a medium scale installation of Postgres 8.3 that is freezing 
about once a week.  I'm looking for any hints on how to diagnose the 
situation, as nothing is logged.

The system is matched pair of Sunfire servers, running Debian Etch with 
a 2.6.18-6-amd64 kernel, PostgreSQL 8.3.4, and DRBD 8.0.13.

During a failed state, pg_stat_activity will show hundreds of statements 
pending.  query_start will show the statements arriving at a normal rate 
(a few per second), but clearly they never complete.  The bulk of these 
statement are a simple select that starts each web session, a statement 
that generally completes in tenths of milliseconds.  Restarting postgres 
restores normal operation, at the loss of all chance of figuring out 
what was wrong.

postgresql.conf has customized:
log_destination = 'syslog'
log_min_error_statement = error
log_min_duration_statement = 5000

Where can I go from here?  I'm turning on log_checkpoints now, though 
all I see is "postgres[14412]: [4-1] LOG:  checkpoint starting: time" 
with no actual time printed.