Corrections to the Kelvin equation for long-range wall-particle potentials

• Autorzy: Drzewiński A. , Szota K.
• Języki publikacji: EN

Abstrakty

EN

The properties of a simple fluid, or Ising magnet, confined in an L× ∞ geometry, are studied by means of numerical density-matrix renormalization-group techniques. Whereas the particle-particle potential is short ranged, the wall-particle potential is long ranged decaying as h1/lp for various values of p-integer, where l = 1,2,…,L labels the columns across the strip and h1 is the reduced amplitude of the boundary field. For the shortrange wall-particle potential, according to the Kelvin equation, the bulk coexistence field scales as 1/L for large L; thermodynamics and scaling arguments predict higher-order corrections of the 1/L2 and 1/L5/3 types at partial and complete wetting, respectively. However, at complete wetting for a large range of surface fields and temperatures a correction to scaling of type 1/L4/3 has been found recently. We discuss the influence of long-range wall-fluid potentials on the scaling. Results are obtained for several values of h1 for strips of widths up to L = 690.

Słowa kluczowe

EN

Kelvin equation; wetting; thermodynamics; Ising model

PL

równanie Kelvina; zwilżanie; termodynamika; model Isinga

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2004
• Tom: Vol. 3, nr 1
• Strony: 31--39
• Opis fizyczny: Bibliogr. 12 poz., rys.

Twórcy

autor

Drzewiński A.

• Institute of Mathematics and Computer Science, Czestochowa University of Technology

autor

Szota K.

• Institute of Mathematics and Computer Science, Czestochowa University of Technology

Bibliografia

• [1] Dietrich S., (in:) Phase Transitions and Critical Phenomena, ed. C. Domb, J.L. Lebowitz, Academic, London 1988, 12, 1.
• [2] Abraham D.B., Phys. Rev. Lett. 1980, 44, 1165.
• [3] Thomson W., Phil. Magn. 1971, 42, 448.
• [4] Carlon E., Drzewiński A., Phys. Rev. E 1998, 57, 2626.
• [5] Albano E.V., Binder K., Heermann D.W., Paul W., J. Chem. Phys. 1989, 91, 3700.
• [6] Parry A.O., Evans R., J. Phys. A: Math. Gen. 1992, 25, 275.
• [7] Carlon E., Drzewiński A., Rogiers J., Phys. Rev. B 1998, 58, 5070.
• [8] Sullivan D.E., Telo da Gama M.M., (in:) Fluid Interfacial Phenomena, ed. C.A. Croxton, Wiley, New York 1986, 45.
• [9] White S.R., Phys. Rev. Lett. 1992, 69, 2863; Phys. Rev. B 1993, 48, 10345.
• [10] Nishino T., J. Phys. Soc. Jpn. 1995, 64, 3598.
• [11] Maciołek A., Ciach A., Drzewiński A., Phys. Rev. E 1999, 60, 2887.
• [12] Maciołek A., Drzewiński A., Bryk P., J. Chem. Phys. 2004, 120, 1921.