Ernst, M. H.Brito López, Ricardo2023-06-202023-06-202005-121539-375510.1103/PhysRevE.72.061102https://hdl.handle.net/20.500.14352/50640©2005 The American Physical Society. M.H.E. is supported by Secretaría de Estado de Educación y Universidades (Spain), and R.B. by the Universidad Complutense (Profesores en el Extranjero). This work is financed by the research project FIS2004-271 (Spain).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.engjournal articlehttp://pre.aps.org/pdf/PRE/v72/i6/e061102http://pre.aps.org/http://igitur-archive.library.uu.nl/phys/2006-1125-200635/ernst_05_generalized.pdfopen access536Modified enskog equationGas cellular automataHard-sphere fluidParticle dynamicsEnergy-conservationHydrodynamicsScaleTermodinámica2213 Termodinámica