Theoretical Study of Non-additive Hard Convex Body Fluid Mixtures
DOI:
https://doi.org/10.26713/jamcnp.v4i1-3.765Keywords:
Hard body fluid mixture, Non additive dumbbell, Shape parametersAbstract
The structure of a dense fluid or liquid is largely determined by the repulsive intermolecular forces, so the hard core potential has been extensively employed to model real fluids and fluid mixtures. The properties of two dimensional hard body fluids and fluids mixtures have aroused a considerably interest in recent years. This is because they are treated as models of real fluids or fluid mixtures absorbed onto surfaces. The 2D hard-body fluids and fluid mixtures like their three-dimensional counter part are useful reference system in framing a perturbation theory for 2D real fluids and fluid mixtures of non-spherical molecules. The 2D hard-body systems are convex body (HCB) systems such as ellipse (HE) and hard discorectangles (HDR) and hard non-convex body systems i.e., fused hard discs (FHD) and planar hard dumbbell (HDB) systems. The equation of state of hard convex body fluid mixtures (HCB) is studied. Analytic expressions are given for the equation of state of the fluid mixture of the non-additive HCB. The numerical results are discussed for the non-additive hard dumbbell (HDB) fluid mixtures under different conditions for different values of non-additivity \(\Delta\). They depend on the conditions, shape parameters \(L^*_{11}\) and \(L^*_{22}\) , mole fractions \(x_1\) and \(x_2\) and \(\Delta\) in general and increase with the increase of packing fraction \(\Delta\).Downloads
References
T. Boublik and I. Nezbeda, P-V-T Behaviour of hard-body fluids, Theory and experiment, Collect. Czech. Chem. Commun. 51, 230 (1986).
T.P. Singh, J.P. Sinha and S.K. Sinha, Equilibrium properties of hard non-sphere fluids, Pramana – J. Phys. 31, 289 (1988).
R. Kumari and S.K. Sinha, Quantum corrections to thermodynamics of hard Gaussian-overlap fluid mixtures, Physica A211, 43 (1994).
T.K. Dey, S.C. Singh and S.K. Sinha, Quantum corrections to equation of state of fluid mixtures of hard non-spherical molecules, Indian J. Phys. 77B, 291 (2003).
J. Kumar, T.K. Dey and S.K. Sinha, Semiclassical statistical mechanics of hard-body fluid mixtures, J. Chem. Phys. 122, 224504 (2005).
M.J. Maeso and J.R. Solana, An accurate equation of state for fluids of linear homonuclear fused hard spheres, J. Chem. Phys. 101, 9864 (1994).
U.N. Singh and S.K. Sinha, Equilibrium properties of a non-additive hard-sphere mixture in the semiclassical limit, J. Chem. Phys. 78, 3191 (1983).
S.H. Lee, Bull. Kor. Chem. Soc., 28, 1371 (2007).
G.A. Fernandez, J. Vrabec and H. Hasse, H. Mol. Sim. 31, 787 (2005).
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish with this journal agree to the following terms:- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
