title: Thermodynamics of d-dimensional hard sphere fluids confined to micropores.
abstract: We derive an analytical expression of the second virial coefficient of d-dimensional hard sphere fluids confined to slit pores by applying Speedy and Reiss' interpretation of cavity space. We confirm that this coefficient is identical to the one obtained from the Mayer cluster expansion up to second order with respect to fugacity. The key step of both approaches is to evaluate either the surface area or the volume of the d-dimensional exclusion sphere confined to a slit pore. We, further, present an analytical form of thermodynamic functions such as entropy and pressure tensor as a function of the size of the slit pore. Molecular dynamics simulations are performed for d = 2 and d = 3, and the results are compared with analytically obtained equations of state. They agree satisfactorily in the low density regime, and, for given density, the agreement of the results becomes excellent as the width of the slit pore gets smaller, because the higher order virial coefficients become unimportant.
authors.affiliation: Center for Materials Simulations and Design, Graduate School of EEWS (WCU), Korea Advanced Institute of Science and Technology, Daejeon 305-701, South Korea. linus16@kaist.ac.kr
authors.forename: Hyungjun
authors.initials: H
authors.lastname: Kim
authors.forename: William A
authors.initials: WA
authors.lastname: Goddard
authors.forename: Kyeong Hwan
authors.initials: KH
authors.lastname: Han
authors.forename: Changho
authors.initials: C
authors.lastname: Kim
authors.forename: Eok Kyun
authors.initials: EK
authors.lastname: Lee
authors.forename: Peter
authors.initials: P
authors.lastname: Talkner
authors.forename: Peter
authors.initials: P
authors.lastname: Hänggi