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  • 1
    Title: Nonsmooth analysis and control theory; 178
    Author: Clarke, Francis H.
    Contributer: Ledyaev, Yuri S. , Stern, Ronald J. , Wolenski, Peter R.
    Publisher: New York u.a. :Springer,
    Year of publication: 1997
    Pages: 276 S.
    Series Statement: Graduate texts in mathematics 178
    Type of Medium: Book
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  • 2
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 77 (1995), S. 4804-4806 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Graphite melting experiments reported recently suggest that the enthalpy of melting of graphite decreases slowly and linearly with pressure, unlike our previous suggestion, which included a liquid-liquid phase change like those observed in other systems. We have investigated the possibility that this smooth pressure dependence could eliminate the liquid-liquid phase change. Our analysis shows that the available experimental enthalpies of melting cannot rule out such a phase change. An accurate determination of the (P,T) melting line curvature can shed light on the presence or absence of such a phase change. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 79 (1996), S. 5895-5897 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Using a scanning Kerr effect microscope with external ac-tickle field excitation, zigzagged and slanted intersections of domain walls were observed at the symmetry-axis cross sections of thin film inductive heads. These domain walls are believed to be the intersections of edge-closure domain walls, with the magnetization on the two sides of the walls (or lines) oriented in "head-to-head'' or "tail-to-tail'' configurations. They are thus slanted or zigzagged in order to spread the charges along the walls over a larger region, thereby reducing magnetostatic energy. This interpretation is further evident by the observation that upon applying a small dc bias field in the symmetry-axis direction, the slanted or zigzagged intersections of domain walls were observed to displace according to the field direction, and sometimes deformed to different configurations. Upon lapping the heads from their air-bearing surfaces, slanted domain walls at the sloped backgap cross sections were occasionally observed. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 110 (1999), S. 441-446 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The diamond melting line was determined for a model system based on Brenner's bond order potential for hydrocarbon systems. The location of this first-order phase boundary was found by a free energy calculation of the diamond and liquid phases, using atomistic simulation methods. The melting line was found to have a positive slope consistent with the present understanding. The location at lower pressure was also consistent with experiment and a number of other theoretical approaches. The slope is found to increase with pressure. The structure of the liquid is examined as a function of density and is suggestive of a liquid–liquid phase boundary. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 103 (1995), S. 9370-9378 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The perturbative hypernetted-chain (PHNC) equation developed recently has been applied to the one-component plasma (OCP) and the one-component charged hard-sphere (OCCHS) systems in a uniform compensating background. Computed thermodynamic properties and pair correlation functions show that the PHNC gives excellent agreement with computer simulations and that it is as accurate as (or, in some cases, superior to) the reference-hypernetted chain and the hypernetted-chain-mean spherical equations, representing the two best currently available theories. The PHNC also predicts the OCP screening function at short range in close agreement with computer simulations and is superior to other theoretical results. Reliability of the radial distribution function at the hard-sphere contact distance for the OCCHS is also discussed. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 103 (1995), S. 3629-3635 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We present a new integral equation for the radial distribution function of classical fluids. It employs the bridge function for a short-range repulsive reference system which was used earlier in our dense fluid perturbation theory. The bridge function is evaluated using Ballone et al.'s closure relation. Applications of the integral equation to the Lennard-Jones and inverse nth-power (n=12, 9, 6, and 4) repulsive systems show that it can predict thermodynamic and structural properties in close agreement with results from computer simulations and the reference-hypernetted-chain equation. We also discuss thermodynamic consistency tests on the new equation and comparisons with the integral equations of Rogers and Young and of Zerah and Hansen. The present equation has no parameter to adjust. This unique feature offers a significant advantage as it eliminates a time-consuming search to optimize such parameters appearing in other theories. It permits practical applications needing complex intermolecular potentials and for multicomponent systems. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 102 (1995), S. 1349-1360 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We investigated the phase stability of a system of nonadditive hard sphere (NAHS) mixtures with equal diameters, d, between like species and an unequal collision diameter, d(1+α), between unlike species. It is based on an analytic equation of state (EOS) which refines an earlier expression [J. Chem. Phys. 100, 9064 (1994)] within the mixed fluid phase range. The new EOS gives a reliable representation of Monte Carlo EOS data over a wide range of density, composition, and nonadditivity parameters (α). Comparisons with available computer simulations show that the new EOS predicts satisfactory phase boundaries and the critical density line. It is superior to results derived from integral equations (the Percus–Yevick, the Martynov–Sarkisov, and the modified Martynov–Sarkisov) and analytic theories (the MIX1 model, the van der Waals one-fluid model, and the scaled particle theory). The present study shows that, unless α exceeds 0.026, the fluid phase will remain fully miscible up to the freezing point of pure hard spheres. We have also investigated structural aspects of the phase stability by Monte Carlo computations. The radial distribution functions, the local mole fraction, and coordination numbers for like and unlike pairs of hard spheres exhibit significant number dependencies close to the fluid phase boundary. They provide precursory signals to an impending phase change. Finite systems used in the Monte Carlo sampling limit fluctuations in sizes and shapes of heterogeneous clusters. The observed number dependence simply reflects this fact. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 100 (1994), S. 9064-9074 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We present a new analytic fluid-phase equation of state (EOS) of binary nonadditive hard sphere mixtures having equal collision diameters (d11=d22=d) between like species, but having an unequal collision diameter (d12) between unlike species. For this purpose, we have generated EOS data by Monte Carlo simulations over a wide range of density, composition, and d12. The analytic EOS produces reliable results for d12≥d and d12〈d. These results are used to test the van der Waals one-fluid model of mixtures and the modified Martynov and Sarkisov integral equation [Mol. Phys. 59, 275 (1986)]. Short-range structures at high density reveal a broad peak in heterocoordinated packing and a minimum in homocoordination as d12 is reduced below d. The present analysis also strongly indicates, in agreement with available data, a fluid–fluid phase change at high density when d12(approximately-greater-than)d.
    Type of Medium: Electronic Resource
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  • 9
    ISSN: 1520-6041
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Biochemistry 20 (1981), S. 3986-3996 
    ISSN: 1520-4995
    Source: ACS Legacy Archives
    Topics: Biology , Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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