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Abstract:

This work is devoted to the exact statistical mechanics treatment of simple inhomogeneous few-body systems. The system of two hard spheres (HSs) confined in a hard spherical pore is systematically analyzed in terms of its dimensionality D. The canonical partition function and the one- and two-body distribution functions are analytically evaluated and a scheme of iterative construction of the D+1 system properties is presented. We analyze in detail both the effect of high confinement, when particles become caged, and the low density limit. Other confinement situations are also studied analytically and several relations between the two HSs in a spherical pore, two sticked HSs in a spherical pore, and two HSs on a spherical surface partition functions are traced. These relations make meaningful the limiting caging and low density behavior. Turning to the system of two HSs in a spherical pore, we also analytically evaluate the pressure tensor. The thermodynamic properties of the system are discussed. To accomplish this statement we purposely focus in the overall characteristics of the inhomogeneous fluid system, instead of concentrate in the peculiarities of a few-body system. Hence, we analyze the equation of state, the pressure at the wall, and the fluid-substrate surface tension. The consequences of new results about the spherically confined system of two HSs in D dimension on the confined many HS system are investigated. New constant coefficients involved in the low density limit properties of the open and closed systems of many HS in a spherical pore are obtained for arbitrary D. The complementary system of many HS which surrounds a HS (a cavity inside of a bulk HS system) is also discussed. © 2010 American Institute of Physics.

Registro:

Documento: Artículo
Título:Statistical mechanics of two hard spheres in a spherical pore, exact analytic results in D dimension
Autor:Urrutia, I.; Szybisz, L.
Filiación:Departamento de Física, Comisión Nacional de Energía Atómica, Av. Gral. Paz 1499, San Martín, RA-1650 Buenos Aires, Argentina
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, RA-1428 Buenos Aires, Argentina
Consejo Nacional de Investigaciones Científicas y Técnicas, Av. Rivadavia 1917, RA-1033 Buenos Aires, Argentina
Año:2010
Volumen:51
Número:3
DOI: http://dx.doi.org/10.1063/1.3319560
Título revista:Journal of Mathematical Physics
Título revista abreviado:J. Math. Phys.
ISSN:00222488
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00222488_v51_n3_p_Urrutia.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v51_n3_p_Urrutia

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Citas:

---------- APA ----------
Urrutia, I. & Szybisz, L. (2010) . Statistical mechanics of two hard spheres in a spherical pore, exact analytic results in D dimension. Journal of Mathematical Physics, 51(3).
http://dx.doi.org/10.1063/1.3319560
---------- CHICAGO ----------
Urrutia, I., Szybisz, L. "Statistical mechanics of two hard spheres in a spherical pore, exact analytic results in D dimension" . Journal of Mathematical Physics 51, no. 3 (2010).
http://dx.doi.org/10.1063/1.3319560
---------- MLA ----------
Urrutia, I., Szybisz, L. "Statistical mechanics of two hard spheres in a spherical pore, exact analytic results in D dimension" . Journal of Mathematical Physics, vol. 51, no. 3, 2010.
http://dx.doi.org/10.1063/1.3319560
---------- VANCOUVER ----------
Urrutia, I., Szybisz, L. Statistical mechanics of two hard spheres in a spherical pore, exact analytic results in D dimension. J. Math. Phys. 2010;51(3).
http://dx.doi.org/10.1063/1.3319560