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  • 1
    Electronic Resource
    Electronic Resource
    On the statistical mechanics of inhomogeneous fluids in narrow slits. An application to a hard-sphere fluid between hard walls
    Amsterdam : Elsevier
    Chemical Physics Letters 149 (1988), S. 102-108 
    Details
    ISSN: 0009-2614
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0009-2614(88)80357-9
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Extremum properties of the Gaussian thermostat
    Amsterdam : Elsevier
    Physica A: Statistical Mechanics and its Applications 208 (1994), S. 191-204 
    Details
    ISSN: 0378-4371
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0378-4371(94)00026-3
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Bemerkungen zu inversen Eigenwertproblemen (1969)
    Springer
    Computing 4 (1969), S. 207-215 
    Details
    ISSN: 1436-5057
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Summary Problem I (or respectively II) is concerned with the problem of finding a real diagonal matrixV (orW), such thatA+V (orW B) has prescribed real eigenvalues, whereA (orB) is any given real symmetric (or positive definite) matrix. Sufficient conditions are given for the problem II to have a solution. Methods to solve problems I and II are given. Connection between the both problems in the case of 2×2 matrices is discussed.
    Notes: Zusammenfassung Als Problem I bzw. II bezeichnen wir die Aufgabe, in welcher zu einer reellen symmetrischen (bzw. positiv definiten) MatrixA (bzw.B) eine DiagonalmatrixV (bzw.W) gesucht wird, so daßA+V (bzw.W B) vorgeschriebene reelle Eigenwerte besitzt. Hinreichende Bedingungen für die Lösbarkeit des Problems I und Lösungsmethoden für Probleme I und II werden aufgestellt. Der Zusammenhang zwischen den beiden Problemen im Falle von Matrizen 2. Ordnung wird untersucht.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02234769
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Properties of a mean field fluid confined to a narrow slit (1987)
    Springer
    Colloid & polymer science 74 (1987), S. 76-86 
    Details
    ISSN: 1435-1536
    Keywords: Inhomogeneous Lennard-Jones fluid ; pressure tensor ; mean field approximation ; density profiles ; capillary condensation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The thermodynamic properties of an inhomogenous fluid confined to a narrow slit with attractive walls have been studied using a simple mean field theoretical approach. The pair-wise interaction assumed is a truncated Lennard-Jones potential with a repulsive hard core. Density profiles of the fluid in the slit, the excess grand potential per unit surface area and the pressure tensor componentsp Nandp Thave been calculated. The lack of consistency among these variables, as well as the degree of agreement with the generalized Gibbs surface tension equation and with the Kelvin equation, is discussed. It is concluded that the (hard sphere) local density appproximation is a major source of the discrepancies noted.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01191015
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  • 5
    Electronic Resource
    Electronic Resource
    Molecular Dynamics Calculation of the Viscosities of Biaxial Nematic Liquid Crystals (1998)
    Springer
    International journal of thermophysics 19 (1998), S. 1073-1083 
    Details
    ISSN: 1572-9567
    Keywords: biaxial nematic liquid crystals ; director constraint algorithms ; Gay–Berne potentials ; Green–Kubo relations ; molecular dynamics simulations ; viscosities
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We have evaluated the Green–Kubo relations for the viscosities of a biaxial nematic liquid crystal by performing equilibrium molecular dynamics simulations. The viscosity varies by more than two orders of magnitude depending on the orientation of the directors relative to the streamlines. The molecules consist of nine fused Gay–Berne oblates whose axes of revolution are parallel to each other and perpendicular to the line joining their centers of mass. This gives a biaxial body, the length-to-width-to-breadth ratio of which is equal to 5:1:0.4. The numerical evaluation of the Green–Kubo relations for the viscosities is facilitated by the application of a Gaussian director constraint algorithm that makes it possible to fix the directors in space. This does not only generate an inertial director-based frame but also a new equilibrium ensemble. In this ensemble the Green–Kubo relations for the viscosities are simple linear combinations of time correlation function integrals, whereas they are complicated rational functions in the conventional canonical ensemble.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1022681424016
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  • 6
    Electronic Resource
    Electronic Resource
    Nonequilibrium molecular dynamics of liquid crystals (1994)
    Springer
    International journal of thermophysics 15 (1994), S. 1125-1134 
    Details
    ISSN: 1572-9567
    Keywords: liquid crystals ; nematic phase ; noneyuilibrium molecular dynamics ; planar Couette flows ; rheology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract During the last 15 years, noneyuilibrium molecular dynamics (NEMD) has been successfully applied to study transport phenomena in fluids that are isotropic at equilibrium. A natural extension is therefore to study liquid crystals, which are anisotropic al equilibrium. The lower symmetry of these systems means that the linear transport coefficients are considerably more complicated than in an isotropic system. Part of the reason for this is that there are crosscouplings between tensors of different rank and parity. Such couplings arc symmetry-forbidden in isotropic phases. In this paper. we review some of fundamental theoretical results we have derived concerning the rheology of liquid crystals. report NEMD simulations of thermal conductivity and shear viscosity of liquid crystals, and present NEMD simulations of shear cessation phenomena. All of the NEMD results are presented for a model liquid crystal fluid which is a modification of the Gay-Borne fluid. The results obtained are in qualitative agreement with experimental measurements on liquid crystal systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01458821
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    Paper (German National Licenses)
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