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Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 86, 1995 - Issue 4
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Original Articles

Free energy model for the inhomogeneous hard-body fluid: application of the Gauss-Bonnet theorem

Yaakov Rosenfeld Nuclear Research Centre-Negev, PO Box 9001, Beer-Sheva, 84190, Israel
Pages 637-647 | Received 06 Jan 1995, Accepted 22 Feb 1995, Published online: 23 Aug 2006

Citations (54)

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L. Harnau. (2008) Structure and thermodynamics of platelet dispersions. Molecular Physics 106:16-18, pages 1975-2000.
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JOSEPHM. BRADER, CHRISTIAN VON FERBER & MATTHIAS SCHMIDT. (2003) Hard body amphiphiles at a hard wall. Molecular Physics 101:14, pages 2225-2231.
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Articles from other publishers (52)

Soudabe Nasirimoghadam, Mahmood Moradi & Roohollah Aliabadi. (2022) Biaxial planar nematic layered structures of highly confined prolate hard ellipsoids. Physica A: Statistical Mechanics and its Applications 598, pages 127371.
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Karlo de Leon & Ian Vega. (2019) Weak gravitational deflection by two-power-law densities using the Gauss-Bonnet theorem. Physical Review D 99:12.
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A Böbel, M C Bott, H Modest, J M Brader & C Räth. (2019) Fluid demixing kinetics on spherical geometry: power spectrum and Minkowski functional analysis. New Journal of Physics 21:1, pages 013031.
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A. Böbel, C. A. Knapek & C. Räth. (2018) Scale-free crystallization of two-dimensional complex plasmas: Domain analysis using Minkowski tensors. Physical Review E 97:5.
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A. Böbel & C. Räth. (2016) Kinetics of fluid demixing in complex plasmas: Domain growth analysis using Minkowski tensors. Physical Review E 94:1.
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Yu Qiao, Xuejiao Liu, Minxin Chen & Benzhuo Lu. (2016) A Local Approximation of Fundamental Measure Theory Incorporated into Three Dimensional Poisson–Nernst–Planck Equations to Account for Hard Sphere Repulsion Among Ions. Journal of Statistical Physics 163:1, pages 156-174.
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Andrzej Patrykiejew, Stefan Sokolowski & Orest Pizio. 2016. Surface and Interface Science. Surface and Interface Science 883 1253 .
Stephan Korden. (2015) Density Functional Theory for Hard Particles in N Dimensions. Communications in Mathematical Physics 337:3, pages 1369-1395.
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René Wittmann, Matthieu Marechal & Klaus Mecke. (2015) Elasticity of nematic phases with fundamental measure theory. Physical Review E 91:5.
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René Wittmann, Matthieu Marechal & Klaus Mecke. (2014) Fundamental measure theory for smectic phases: Scaling behavior and higher order terms. The Journal of Chemical Physics 141:6.
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Han Miao, Yao Li & Hongru Ma. (2014) Depletion interaction between two ellipsoids. The Journal of Chemical Physics 140:15.
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René Wittmann & Klaus Mecke. (2014) Surface tension of isotropic-nematic interfaces: Fundamental measure theory for hard spherocylinders. The Journal of Chemical Physics 140:10.
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Daniel de las Heras & Matthias Schmidt. (2013) Bulk fluid phase behaviour of colloidal platelet–sphere and platelet–polymer mixtures. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371:1988, pages 20120259.
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Matthieu Marechal, Urs Zimmermann & Hartmut Löwen. (2012) Freezing of parallel hard cubes with rounded edges. The Journal of Chemical Physics 136:14.
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Stephan Korden. (2012) Deriving the Rosenfeld functional from the virial expansion. Physical Review E 85:4.
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Xiaofei Xu, Diego E. Cristancho, Stéphane Costeux & Zhen-Gang Wang. (2012) Density-Functional Theory for Polymer–Carbon Dioxide Mixtures. Industrial & Engineering Chemistry Research 51:9, pages 3832-3840.
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Jonathan Phillips & Matthias Schmidt. (2011) Phase behaviour of binary mixtures of diamagnetic colloidal platelets in an external magnetic field. Journal of Physics: Condensed Matter 23:19, pages 194111.
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Hendrik Hansen-Goos & J. S. Wettlaufer. (2011) A fundamental measure theory for the sticky hard sphere fluid. The Journal of Chemical Physics 134:1.
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Hendrik Hansen-Goos & Klaus Mecke. (2010) Tensorial density functional theory for non-spherical hard-body fluids. Journal of Physics: Condensed Matter 22:36, pages 364107.
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Jonathan Phillips & Matthias Schmidt. (2010) Bulk phase behavior of binary hard platelet mixtures from density functional theory. Physical Review E 81:4.
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Roland Roth. (2010) Fundamental measure theory for hard-sphere mixtures: a review. Journal of Physics: Condensed Matter 22:6, pages 063102.
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Erfan Kadivar. (2009) Role of radius on prewetting behavior in nematic liquid-crystal droplets. Physical Review E 80:1.
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Hendrik Hansen-Goos & Klaus Mecke. (2009) Fundamental Measure Theory for Inhomogeneous Fluids of Nonspherical Hard Particles. Physical Review Letters 102:1.
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David L. Cheung, Lucian Anton, Michael P. Allen, Andrew J. Masters, Jonathan Phillips & Matthias Schmidt. (2008) Structure and stability of isotropic states of hard platelet fluids. Physical Review E 78:4.
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Matthias Schmidt & Mike R. Jeffrey. (2007) Peel or coat spheres by convolution, repeatedly. Journal of Mathematical Physics 48:12.
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Hendrik Reich, Marjolein Dijkstra, René van Roij & Matthias Schmidt. (2007) Entropic Wetting and the Free Isotropic−Nematic Interface of Hard Colloidal Platelets. The Journal of Physical Chemistry B 111:27, pages 7825-7835.
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Ludger Harnau & Siegfried Dietrich. 2007. Soft Matter. Soft Matter 159 160 .
C. Grodon & R. Roth. (2007) Multiphase coexistence in polydisperse colloidal mixtures. The Journal of Chemical Physics 126:5.
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P.-M. König, R. Roth & S. Dietrich. (2006) Depletion forces between nonspherical objects. Physical Review E 74:4.
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Jianzhong Wu. (2005) Density functional theory for chemical engineering: From capillarity to soft materials. AIChE Journal 52:3, pages 1169-1193.
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Zhidong Li & Jianzhong Wu. (2006) Density Functional Theory for Polyelectrolytes near Oppositely Charged Surfaces. Physical Review Letters 96:4.
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Ansgar Esztermann, Hendrik Reich & Matthias Schmidt. (2006) Density functional theory for colloidal mixtures of hard platelets, rods, and spheres. Physical Review E 73:1.
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S. M. Oversteegen & R. Roth. (2005) General methods for free-volume theory. The Journal of Chemical Physics 122:21.
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Matthias Schmidt & Marjolein Dijkstra. (2004) Isotropic-nematic transition of hard rods immersed in random sphere matrices. The Journal of Chemical Physics 121:23, pages 12067-12073.
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Ansgar Esztermann & Matthias Schmidt. (2004) Density functional theory for sphere-needle mixtures: Toward finite rod thickness. Physical Review E 70:2.
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Peter G Bolhuis, Joseph M Brader & Matthias Schmidt. (2003) Simulation and theory of fluid–fluid interfaces in binary mixtures of hard spheres and hard rods. Journal of Physics: Condensed Matter 15:48, pages S3421-S3428.
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P. Bryk, R. Roth, K. R. Mecke & S. Dietrich. (2003) Hard-sphere fluids in contact with curved substrates. Physical Review E 68:3.
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Matthias Schmidt & Joseph M. Brader. (2003) Hard sphere fluids in random fiber networks. The Journal of Chemical Physics 119:6, pages 3495-3500.
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Matthias Schmidt. (2003) Geometry-based density functional theory: an overview. Journal of Physics: Condensed Matter 15:1, pages S101-S106.
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Matthias Schmidt, Elisabeth Sch ll-Paschinger, J rgen K finger & Gerhard Kahl. (2002) Model colloid polymer mixtures in porous matrices: density functional versus integral equations. Journal of Physics: Condensed Matter 14:46, pages 12099-12117.
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R Roth, R Evans, A Lang & G Kahl. (2002) Fundamental measure theory for hard-sphere mixtures revisited: the White Bear version. Journal of Physics: Condensed Matter 14:46, pages 12063-12078.
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Yaakov Rosenfeld. (2002) Structure and effective interactions in multi-component hard-sphere liquids: the fundamental-measure density functional approach*. Journal of Physics: Condensed Matter 14:40, pages 9141-9152.
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R. Roth, R. van Roij, D. Andrienko, K. R. Mecke & S. Dietrich. (2002) Entropic Torque. Physical Review Letters 89:8.
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R. Roth, R. Evans & S. Dietrich. (2000) Depletion potential in hard-sphere mixtures:  Theory and applications. Physical Review E 62:4, pages 5360-5377.
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Yaakov Rosenfeld, Matthias Schmidt, Martin Watzlawek & Hartmut Löwen. (2000) Fluid of penetrable spheres:  Testing the universality of the bridge functional. Physical Review E 62:4, pages 5006-5010.
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Klaus R. Mecke. 2000. Statistical Physics and Spatial Statistics. Statistical Physics and Spatial Statistics 111 184 .
Y. Rosenfeld. 1999. New Approaches to Problems in Liquid State Theory. New Approaches to Problems in Liquid State Theory 303 320 .
Y. Rosenfeld, M. Schmidt, H. Löwen & P. Tarazona. (1997) Fundamental-measure free-energy density functional for hard spheres: Dimensional crossover and freezing. Physical Review E 55:4, pages 4245-4263.
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Yaakov Rosenfeld & Gerhard Kahl. (1997) The inverse problem for simple classical liquids: a density functional approach. Journal of Physics: Condensed Matter 9:7, pages L89-L98.
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Yaakov Rosenfeld. (1996) Geometrically based density functional theory of liquids. Journal of Physics: Condensed Matter 8:47, pages 9289-9292.
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Y Rosenfeld, M Schmidt, H Löwen & P Tarazona. (1996) Dimensional crossover and the freezing transition in density functional theory. Journal of Physics: Condensed Matter 8:40, pages L577-L581.
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Yaakov Rosenfeld. (1996) Equation of state and correlation functions of strongly coupled plasma mixtures: Density functional theory and analytic models. Physical Review E 54:3, pages 2827-2838.
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