Abstract
A systematic graph theoretical treatment of steady-state master-equation systems is presented, in order to give a general formulation to Hill’s theory of cycle fluxes which characterizes the cyclic-action structure of open systems in nonequilibrium steady states accompanied by nonzero steady flows of energy or materials between the systems and their environments, such as laser actions or enzymatic reactions. In our formalism, a steady state is described by an ensemble of cycles C’s with each of which a probability current ω(C) and an occurrence probability u(C) are associated. A steady flow is expressed as an average over the cycles with ω(C), i.e., ∑C ω(C) ×(elementary flow generated in C). A similar cycle-average formula by u(C) is also given to state quantities. The Kirchhoff formula for steady states is also referred to.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call