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oai:docta.ucm.es:20.500.14352/506402025-04-09T18:01:35Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Ernst, M. H. author Brito López, Ricardo author 2005-12 We present a generalization of the Green-Kubo expressions for thermal transport coefficients mu in complex fluids of the generic form mu=mu(infinity)+integral(infinity)(0) dtV(-1)< J(epsilon)exp(tL)J >(0), i.e. a sum of an instantaneous transport coefficient mu(infinity), and a time integral over a time correlation function in a state of thermal equilibrium between a current J and its conjugate current J(epsilon). The streaming operator exp(tL) generates the trajectory of a dynamical variable J(t)=exp(tL)J when used inside the thermal average <(...)>(0). These formulas are valid for conservative, impulsive (hard spheres), stochastic, and dissipative forces (Langevin fluids), provided the system approaches a thermal equilibrium state. In general mu(infinity)not equal 0 and J(epsilon)not equal J, except for the case of conservative forces, where the equality signs apply. The most important application in the present paper is the hard sphere fluid. 1539-3755 10.1103/PhysRevE.72.061102 https://hdl.handle.net/20.500.14352/50640 http://pre.aps.org/pdf/PRE/v72/i6/e061102 http://pre.aps.org/ http://igitur-archive.library.uu.nl/phys/2006-1125-200635/ernst_05_generalized.pdf Generalized Green-Kubo formulas for fluids with impulsive, dissipative, stochastic, and conservative interactions