Affinity- and topology-dependent bound on current fluctuations
  We provide a proof of a recently conjectured universal bound on current fluctuations in Markovian processes. This bound establishes a link between the fluctuations of an individual observable current, the cycle affinities driving the system into a non-equilibrium steady state, and the topology of the network. The proof is based on a decomposition of the network into independent cycles with both positive affinity and positive stationary cycle current. This formalism allows for a refinement of the bound for systems in equilibrium or with locally vanishing affinities. 
Patrick Pietzonka, Andre C. Barato, Udo Seifert
cond-mat.stat-mech physics.bio-ph physics.chem-ph