Dynamics in Polyatomic Fluids: A Kinetic Theory Approach

Hard Convex Body Fluids

“…To this we counter that in the theory of transport properties, the prefactor of h12G(1,2) does not generally arise and it is G(1,2) that is common to most transport coefficient integrands. [35] As our concerns are with both thermodynamic and dynamic properties, the expression of the pcf will reflect our subjective choice toward surface area averaging as opposed to volume averaging.…”

“…[loll Several methods have been applied to the calculation of the transport properties of fluids of HCBs. Theodosopulu and Dahler, [122-1241 Jagannathan, et al [125] and Cole et al, [126] Cole and Evans, [35] and Evans [loll have provided distinct means for the determination of transport coefficients. In the work of the Dahler group, kinetic equations were derived for the phase space density and these equations were solved by moment methods developed by Grad.…”

“…In the work of the Dahler group, kinetic equations were derived for the phase space density and these equations were solved by moment methods developed by Grad. [127] In the Cole, Evans and Hoffman works, [35] the transport properties were expressed as a time correlation function and the method of Ernst (developed for hard spheres) [104,105] was applied to transform the time correlation function expressions into distribution function schemes so that the usual Enskog factorizations and expansions could be made. For both the Dahler and the Ernst methods, the operating expressions for the evaluation of the transport coefficients are complicated and in the end, the relationship of the computed transport coefficients to the hard-sphere limit is not always clear.…”

“…A direct time correlation function approach, [1,101] based on the Mori method is, in our opinion, simpler and leads to results of some generality. Cole et al [126] Cole and Evans, [35] and Theodosopulu and Dahler [122-1241 found that "new" collisional integrals arose in the transport coefficient calculations which incorporated the nonlocal nature of the collision event. In the present approach, these non-local corrections follow as matrix elements of the binary collision operator.…”

Molecular Fluids and Liquid Crystals in Convex-Body Coordinate Systems

“…The work on the CB system had been initiated [16] in early 1950s, and later developments and applications have been covered in various reviews [15,[17][18][19][20] until 1993. However, there is a need to establish a link among works by various workers incorporating recent accomplishments (i.e., works for the period after the review in Ref.…”