30 citations · 103 across the 17 of their papers we have counts for
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The fourth virial coefficient for hard spheres in even dimension
Ignacio Urrutia
The fourth virial coefficient is calculated exactly for a fluid of hard spheres in even dimensions. For this purpose the complete star cluster integral is expressed as the sum of t…
Generalization of the Wall Theorem to Out-of-equilibrium Conditions
Ignacio Urrutia, Ivan Paganini, Claudio Pastorino
The well-known Wall theorem states a simple and precise relation among temperature, pressure and density of a fluid at contact with a confining hard wall in thermodynamic equilibri…
Fluids confined in wedges and by edges: virial series for the line-thermodynamic properties of hard spheres
Ignacio Urrutia
This work is devoted to analyze the relation between the thermodynamic properties of a confined fluid and the shape of its confining vessel. Recently, new insights in this topic we…
Statistical mechanics of fluids confined by polytopes: The hidden geometry of the cluster integrals
Ignacio Urrutia
This paper, about a fluid-like system of spatially confined particles, reveals the analytic structure for both, the canonical and grand canonical partition functions. The studied s…
An exact formalism to study the thermodynamic properties of hard-sphere systems under spherical confinement
Ignacio Urrutia, Gabriela Castelletti
This paper presents a modified grand canonical ensemble which provides a new simple and efficient scheme to study few-body fluid-like inhomogeneous systems under confinement. The n…
Two hard spheres in a pore: Exact Statistical Mechanics for different shaped cavities
Ignacio Urrutia
The Partition function of two Hard Spheres in a Hard Wall Pore is studied appealing to a graph representation. The exact evaluation of the canonical partition function, and the one…
Statistical Mechanics of Two Hard Spheres in a Spherical Pore, Exact Analytic Results in D Dimension
Ignacio Urrutia, Leszek Szybisz
This work is devoted to the exact statistical mechanics treatment of simple inhomogeneous few-body systems. The system of two Hard Spheres (HS) confined in a hard spherical pore is…
Two hard spheres in a spherical pore: Exact analytic results in two and three dimensions
Ignacio Urrutia
The partition function and the one- and two-body distribution functions are evaluated for two hard spheres with different sizes constrained into a spherical pore. The equivalent pr…