Statistical mechanics of a fluid in contact with a curved wall

Poniewierski, A.; Stecki, J.
February 1997
Journal of Chemical Physics;2/22/1997, Vol. 106 Issue 8, p3358
Academic Journal
Discusses the derivation of formal expressions for the surface tension of a fluid in contact with a hard spherical wall or a cavity. Provision of a method for expansions in powers of curvature and application to the first correction; Equations for a system of spherical symmetry including the pressure tensor.


Related Articles

  • On equations of type uxt=F(u,ux) which describe pseudospherical surfaces. Rabelo, Mauro L.; Tenenblat, Keti // Journal of Mathematical Physics;Jun90, Vol. 31 Issue 6, p1400 

    The equations uxt=F(u,ux), which describe η-pseudospherical surfaces, are characterized. In particular, when F does not depend on ux, the sine–Gordon, sinh–Gordon, and Liouville equations are essentially obtained. Moreover, it is shown that an equation uxt=F(u) has a...

  • A TIME-LIKE SURFACE IN MINKOWSKI 3-SPACE WHICH CONTAINS LIGHT-LIKE LINES. Izumiya, Shyuichi; Takiyama, Akihiro // Journal of Geometry;Mar1999, Vol. 64 Issue 1/2, p95 

    Focuses on the characterization of pseudospherical surfaces. Existence of pseudosphere with light-like lines; Analysis of Minkowski geometry; Discussion of the three-dimensional vector space.

  • 420 BCE.  // History of Science & Technology;2004, p62 

    The article presents the discovery of the curve called the quadratrix, which can be used by mathematicians to trisect an angle, in 420 BCE.

  • BIHARMONIC HYPERSURFACES IN E5 WITH ZERO SCALAR CURVATURE. DEEPIKA; GUPTA, RAM SHANKAR // African Diaspora Journal of Mathematics;2015, Vol. 18 Issue 1, p12 

    We prove non-existence of proper biharmonic hypersurfaces of zero scalar curvature in Euclidean space E5.

  • Ricci Curvature and Fundamental Group. Xin, Yuanlong // Chinese Annals of Mathematics;Apr2006, Vol. 27 Issue 2, p113 

    By refined volume estimates in terms of Ricci curvature, the two results due to J. Milnor (1968) are generalized.

  • A Geometric Problem and the Hopf Lemma. II. YanYan Li; Nirenberg, Louis // Chinese Annals of Mathematics;Apr2006, Vol. 27 Issue 2, p193 

    A classical result of A. D. Alexandrov states that a connected compact smooth n-dimensional manifold without boundary, embedded in Rn+1, and such that its mean curvature is constant, is a sphere. Here we study the problem of symmetry of M in a hyperplane Xn+1=constant in case M satisfies: for...

  • Analytical approaches to the study of the sine-Gordon equation and pseudospherical surfaces. Popov, A.; Maevskii, E. // Journal of Mathematical Sciences;May2007, Vol. 142 Issue 5, p2377 

    The article presents the analytical approaches to the study of the Sine-Gordon equation and pseudospherical surfaces. This paper discusses the geometric foundations of the Sine-Gordon equation and the methods for integrating the equation including also the pseudospherical surfaces. The...

  • A generalization of the Pogorelov-Stocker theorem on complete developable surfaces. Sabitov, I. // Journal of Mathematical Sciences;Feb2008, Vol. 149 Issue 1, p1028 

    The well-known Pogorelov theorem stating the cylindricity of any C 1-smooth, complete, developable surface of bounded exterior curvature in ℝ3 was generalized by Stocker to C 2-smooth surfaces with a more general notion of completeness. We extend Stocker’s result to C 1-smooth...

  • On the Brauer group of a surface. Liu, Qing; Lorenzini, Dino; Raynaud, Michel // Inventiones Mathematicae;Mar2005, Vol. 159 Issue 3, p673 

    The article presents the explanation of a theorem on the Brauer group of a surface. It was wrongly assumed for about 30 years that Br(X) was not always a square. The method of proof provides for any p that the 2-part of Br(X) has order a square via the knowledge of the 2-part of a...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics