Thermo-statistical description of gas mixtures from space partitions
| dc.creator | Rohrmann, R. D. | |
| dc.creator | Zorec, J. | |
| dc.date | 2006-09-23 | |
| dc.date.accessioned | 2026-07-07T10:24:15Z | |
| dc.date.available | 2026-07-07T10:24:15Z | |
| dc.description | The new mathematical framework based on the free energy of pure classical fluids presented in [R. D. Rohrmann, Physica A 347, 221 (2005)] is extended to multi-component systems to determine thermodynamic and structural properties of chemically complex fluids. Presently, the theory focuses on $D$-dimensional mixtures in the low-density limit (packing factor $η< 0.01$). The formalism combines the free-energy minimization technique with space partitions that assign an available volume $v$ to each particle. $v$ is related to the closeness of the nearest neighbor and provides an useful tool to evaluate the perturbations experimented by particles in a fluid. The theory shows a close relationship between statistical geometry and statistical mechanics. New, unconventional thermodynamic variables and mathematical identities are derived as a result of the space division. Thermodynamic potentials $μ_{il}$, conjugate variable of the populations $N_{il}$ of particles class $i$ with the nearest neighbors of class $l$ are defined and their relationships with the usual chemical potentials $μ_i$ are established. Systems of hard spheres are treated as illustrative examples and their thermodynamics functions are derived analytically. The low-density expressions obtained agree nicely with those of scaled-particle theory and Percus-Yevick approximation. Several pair distribution functions are introduced and evaluated. Analytical expressions are also presented for hard spheres with attractive forces due to Kâc-tails and square-well potentials. Finally, we derive general chemical equilibrium conditions. | |
| dc.description | 14 pages, 8 figures. Accepted for publication in Physical Review E | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0609598 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0609598 | |
| dc.identifier | Phys.Rev.E74:041120,2006 | |
| dc.identifier | doi:10.1103/PhysRevE.74.041120 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/176122 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Astrophysics | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Thermo-statistical description of gas mixtures from space partitions | |
| dc.type | text |