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  • 1
    Electronic Resource
    Electronic Resource
    The van der Waals equation of state around the van Laar point (1989)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 90 (1989), S. 448-456 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The discovery of van Laar that the van der Waals equation of state for binary mixtures can be solved analytically at the double point on the critical line, provided one introduces the geometric-mean condition on the interaction parameters, is used to obtain the explicit expression for the critical line for this case. The critical line is expressed as a function of the density variables, and the origin is shifted to this double point: the van Laar point. By doing so it is possible to show that this double point is also a tricritical point. This is different from the lattice gas, where the double point is always a tricritical point. Small deviations from this point in parameter space induce very different phase diagrams. The influence of excursions from the van Laar point is expressed as a function of the state variables. Both the k factor (the deviation from the geometric-mean rule) and the "asymmetry'' coefficient e (the deviation from the crossing point) are introduced. The results are given in the form of polynomials in local coordinates in density space. Conditions under which the double point is maintained are given and the differences between the Scott and van Konynenburg classes II, III, IV, and IV* are explained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.456494
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  • 2
    Electronic Resource
    Electronic Resource
    Erratum: Critical lines for a generalized three state binary gas–liquid lattice model [J. Chem. Phys. 88, 1976 (1988)] (1989)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 90 (1989), S. 3408-3408 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.456702
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  • 3
    Electronic Resource
    Electronic Resource
    The influence of electrical fields on diffusion of donors and acceptors in semiconductor junctions (1988)
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 63 (1988), S. 1608-1613 
    Details
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Diffusion in semiconductor junctions (hetero, homo, and graded) is influenced by the fields present in the junction. The potential, present in the junction is determined by the Poisson equation, in which the charge density depends on the internal potential. This potential is determined by Fermi-Dirac statistics applied to the valence band, the conduction band, and the impurity levels in, and near, the junction. We utilize the complete set of equations, rather than the standard simplified model based on the use of impurity levels only. Solution of the problem is accomplished in two ways: first, a number of possible approximations are evaluated and discussed; second, the equations are solved numerically and the results are compared with the previously made approximations. Special attention is paid to the case of a graded junction.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.339947
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  • 4
    Electronic Resource
    Electronic Resource
    Simulation of C60 through the plastic transition temperatures (1995)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 103 (1995), S. 1106-1108 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: An interaction model is presented that accounts for the phase transitions in a crystalline C60 at 90 and 250 K. This was obtained by a molecular dynamics simulation of the C60 crystal. These transitions are used as indirect evidence of the appropriateness of the charge distribution. Additional support of the proposed charge distribution comes from the agreement of multipole energies with theoretical considerations. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.469820
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  • 5
    Electronic Resource
    Electronic Resource
    Generalized Korteweg equations for phase separation near the critical point in binary gas–liquid mixtures (1994)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 101 (1994), S. 5140-5147 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: This paper deals with the definition of the order parameter in a binary gas–liquid system in the neighborhood of the critical point. The isothermal volume-composition (or V,x) diagram of a binary gas–liquid system may show one (or more) critical point(s). If a critical point is present, we determine the orientation of the tieline in the neighborhood of this point from the equation of state, using algebraic means. This orientation is needed to determine the proposed order parameter: the length of the tieline. The method is similar to the method based on the work of Korteweg, however, his calculation was restricted to the special case that the critical point lies close to the critical point of the pure component. Consequently, the character of such a critical point is mainly vapor–liquid-like in his work. For this reason Korteweg's approach deals with a special situation and cannot be applied to the general case in which the phase separation is neither pure liquid–vapor, nor exclusively liquid–liquid, i.e., without vapor. The present method is based on a coordinate rotation in the V,x plane. It is shown that the end points of the tieline for a given pressure can be expressed in terms of the Taylor series coefficients of the equation of state evaluated around the critical point.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.467370
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  • 6
    Electronic Resource
    Electronic Resource
    Critical lines for a generalized three state binary gas–liquid lattice model (1988)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 88 (1988), S. 1976-1982 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The critical properties of several compressible binary gas–liquid models are described: the three state lattice gas, the Tompa model for polymer solutions, the van der Waals equation for binary mixtures, and an intermediate model. The critical lines are expressed as functions of x1 and x2, the density of type 1 molecules and the density of type 2 molecules, instead of using the pressure and temperature; representative figures are given for each of the models. The general conditions for criticality, stability, and tricriticality are given as functions of x1 and x2 through the intermediary of the spinodal temperature function T(x1,x2). A closed form solution is given for the Berthelot case (geometrical-mean combining rule). All the models exhibit a characteristic intersection of two critical lines, and the behavior near this point is investigated. In the van der Waals case we confirm the coordinates given by van Laar.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.454071
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  • 7
    Electronic Resource
    Electronic Resource
    The three-state lattice gas as model for binary gas–liquid systems (1987)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 86 (1987), S. 5771-5777 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: This paper deals with the three-state lattice model as applied to binary liquid–gas systems. Schouten, ten Seldam, and Trappeniers [Physica 73, 556 (1974)] used this model to describe the transition between the liquid phases as well as the gas–gas separation when varying the interaction parameters of the model. Our analysis is aimed at the behavior of the system in the vicinity of its tricritical point in the generalized field space. Different shapes of the critical lines are calculated by using the molecular field method as well as by using the lowest approximation of the cluster variation method. The equivalence between the two approaches is demonstrated. In the immediate neighborhood of the tricritical point the shapes of the critical lines are also determined analytically.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.452505
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  • 8
    Electronic Resource
    Electronic Resource
    Dynamics of a spin-1 model with the pair correlation (1986)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 85 (1986), S. 7324-7333 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A spin-1 or three state system will undergo a first or second order phase transition depending on the ratio of coupling parameters α. Using the pair correlation approximation, the transition temperature is determined in order to establish the unstable, the metastable, as well as the stable regions of this cooperative system. The dynamics of the system is studied by means of the most probable path method and the flow lines and fixed points of the system are given for zero field. The choice of possible initial conditions is discussed. The role of the unstable points in the phase diagram, as separators between the stable and metastable points, is described, and they are computed for a number of cases.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.451372
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  • 9
    Electronic Resource
    Electronic Resource
    Preface (1988)
    Springer
    Journal of statistical physics 53 (1988), S. 3-4 
    Details
    ISSN: 1572-9613
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01011540
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  • 10
    Electronic Resource
    Electronic Resource
    General boundary conditions for the wave equation around non-homogenous scatterers (1983)
    Springer
    Flow, turbulence and combustion 40 (1983), S. 97-110 
    Details
    ISSN: 1573-1987
    Keywords: Wave equations ; finite element methods ; boundary condition ; non-homogenous scatterer
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract To solve the wave equation inside a region that contains an inhomogenous dielectric material of arbitrary shape under the influence of an incoming wave, we establish a generalized boundary condition. The solutions inside a finite region resulting form a given incoming wave from the outside, are determined by a linear relation between the normal gradient and the function values on the boundary. This boundary condition is non-local and we show how it can be used in conjunction with the variational principle applied to an open system.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00386213
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