A nonequilibrium steady-state (NESS), different from an equilibrium, is sus
tained by circular balance rather than detailed balance. The circular fluxe
s are driven by energy input and heat dissipation, accompanied by a positiv
e entropy production. Based on a Master equation formalism for NESS. we sho
w the circulation is intimately related to the recently studied Gallavotti-
Cohen symmetry of heat dissipation functional, which in turn suggests a Bol
tzmann's formulalike relation between rate constants and energy in NESS. Ex
panding this unifying view on NESS to diffusion is discussed.