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  • 1
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 99 (1995), S. 12478-12482 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 99 (1995), S. 16024-16032 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 88 (1988), S. 3910-3922 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Extensive classical simulations of the melting–freezing transition of small clusters (N=7–33) of rare gas atoms have been performed in which quenching by steepest descent has been coupled to isoergic molecular dynamics. A mechanistic description of the phase change is given in terms of the local potential minima accessed in the transition region and the isomerization pathways for and the frequencies of interwell passages. All of the small clusters, at energies low in the transition range of energy, exhibit some separation (by factors of approximately 5 to 60) of the short time scale for motions about the various potential minima and the longer time scale separating interwell passages. The onset of diffusion is marked by passages over saddles linking the minima. Fully liquid-like behavior is observed for all the clusters when the time scale separation for the motions no longer exists. The coexistence and magic number phenomena observed in previous simulations are explained in terms of the kinds of potential minima on the surface and the accessibility of one from another. The existence of a potential energy minimum very low relative to the nearest accessible, high-lying minima as well as time scale separation are necessary conditions for the observation of the kind of coexistence of liquid-like and solid-like forms over a well-defined energy or temperature range predicted by a quantum statistical model and observed, e.g., in isoergic and isothermal simulations of the Ar13 cluster. Such conditions are met in some but not all clusters. Structures with underlying pentagonal, and especially icosahedral, symmetry are important for clusters in the size range N=7–33, not only in previously recognized cases; defective icosahedral structures occur among the lower-energy minima even for some clusters for which they had not been considered.
    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 87 (1987), S. 545-554 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Simulations by constant energy molecular dynamics have been performed for numerous clusters in the size range N=7–33. Detailed investigations have been conducted on the portions of the caloric curves in which the transition between rigid and nonrigid behavior occurs, to study the N dependence of the solid–liquid phase change. Clusters of several sizes display a coexistence of forms, each with a characteristic mean temperature, over a well-defined energy range in the transition region, as had been observed for the Ar13 cluster. Within the coexistence region, the high temperature form is solid-like and the low temperature form behaves in a liquid-like fashion. The caloric curves of state for these clusters take on two-valued forms when averages are calculated for each of the two "phases'' separately; the two branches are smooth extensions of the curves from the single phase regions. Clusters of other sizes do not display this clear coexistence of phases, but appear to pass through a "slush-like'' state during the melting transition. The coexistence behavior is not a smooth function of N. The clusters Ar13 and Ar19, and to a certain extent Ar7, display high stability properties indicative of magic number behavior.
    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 84 (1986), S. 2783-2794 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Simulations by molecular dynamics of 13-particle clusters of argon display distinct nonrigid, liquid-like and near-rigid, solid-like "phases.'' The simulations, conducted at constant total energy, display a low-energy region in which only the solid-like form appears, a high-energy region in which only the liquid-like form appears, and an intermediate band of energy—a "coexistence region''— in which clusters exhibit both forms. The intervals of time spent in each phase in the two-form coexistence region are long compared with the intervals required to establish equilibrium-like properties distinctive of each form, such as mean square displacement and power spectrum, so that well-defined phases can be said to exist. The fraction of time spent in each phase is a function of the energy. When a long simulation is separated into regions of solid-like and liquid-like behavior, the curve of the derived caloric equation of state is double valued in the two-phase range of energy, forming two well-defined, smooth branches. When, instead, the caloric curve is constructed from averages over all of a long run, its form is smooth and monotonic showing no trace of the "loop'' that had been reported for earlier treatments with much shorter molecular dynamics runs, and which we could also reproduce with short runs.
    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 96 (1992), S. 2966-2977 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: An alternative formulation of the discrete real time coherent state path integral is examined. Following the development of a previous work [T. L. Marchioro II, J. Math Phys. 31, 2935 (1990)] the discrete coherent state action is transformed to second order form. The resulting path integral expression contains an integrand which factors into a Gaussian probability density and an oscillatory term, making the integral directly amenable to Monte Carlo techniques. Several simple examples in one and two spatial dimensions are presented and the possibilities of extending such an approach to general multidimensional systems are discussed.
    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 90 (1989), S. 5651-5656 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We present here prototype studies of the effects of quantum mechanics on the melting of clusters. Using equilibrium path integral methods, we examine the melting transition for small rare gas clusters. Argon and neon clusters are considered. We find the quantum-mechanical effects on the melting and coexistence properties of small neon clusters to be appreciable.
    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 89 (1988), S. 5753-5763 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We present a numerically exact procedure for the calculation of an important class of finite temperature quantum mechanical time correlation functions. The present approach is based around the stationary phase Monte Carlo (SPMC) method, a general mathematical tool for the calculation of high dimensional averages of oscillatory integrands. In the present context the method makes possible the direct numerical path integral calculation of real-time quantum dynamical quantities for times appreciably greater than the thermal time (β(h-dash-bar)). Illustrative applications involving finite temperature anharmonic motion are presented. Issues of importance with respect to future applications are identified and discussed.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 93 (1990), S. 1347-1357 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Classical dynamical studies are presented of melting and diffusive behavior in the Ar13 cluster. A comparison is made between the standard Einstein form for the diffusion constant (and the equivalent Green–Kubo form) and a recently developed theory for dynamics and diffusion in liquids based on the dynamical Hessian matrix. Comparisons are also made to similar calculations on melting in bulk argon systems. In the molecular dynamics calculations, it is found that the onset of liquidlike behavior occurs rather suddenly across the transition region. Well-defined Fick's Law diffusive behavior occurs in liquidlike clusters over time scales long relative to the characteristic vibrational period. In studies involving the dynamical matrix, the distributions and numbers of positive and negative eigenvalues of the Hessian matrix are monitored as a function of energy and temperature, and the Einstein frequency of the cluster is computed.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 90 (1989), S. 3181-3191 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A method is presented for determining the stationary phase points for multidimensional path integrals employed in the calculation of finite-temperature quantum time correlation functions. The method can be used to locate stationary paths at any physical time; in the case that t(very-much-greater-than)β(h-dash-bar), the stationary points are the classical paths linking two points in configuration space. Both steepest descent and simulated annealing procedures are utilized to search for extrema in the action functional. Only the first derivatives of the action functional are required. Examples are presented first of the harmonic oscillator for which the analytical solution is known, and then for anharmonic systems, where multiple stationary phase points exist. Suggestions for Monte Carlo sampling strategies utilizing the stationary points are made. The existence of many and closely spaced stationary paths as well as caustics presents no special problems. The method is applicable to a range of problems involving functional integration, where optimal paths linking two end points are desired.
    Type of Medium: Electronic Resource
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