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  • 1
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 89 (1985), S. 4194-4196 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 95 (1991), S. 3847-3849 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The isobaric temperature dependence of the self-diffusion constant is evaluated by computer simulation in normal and supercooled liquid Lennard-Jones argon. The simulation results are in agreement with a simple formula derived from normal mode analysis.
    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 97 (1992), S. 6737-6743 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: An exact solution is obtained for the solvation free energy of a two-level system immersed into dielectric continuum. The solution is invariant with respect to the representation of the quantum electronic states.
    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 92 (1990), S. 7565-7569 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A theory is developed for diffusion in supercooled liquids. The viewpoint taken is that the dynamics of system, represented by a point in configuration space, consists of long sojourns in the vicinity of the local minima of the total potential, interrupted by relatively infrequent barrier crossings to adjacent minima. An equation due to Zwanzig, plus a new relation for the hopping rate among the local minima, are combined in a theory for the self-diffusion constant D. All the quantities entering the two equations are shown to be derivable from the configuration-averaged densities of vibrational states, 〈ρ(ω)〉, introduced by us previously; the contribution of unstable modes plays a crucial role. Solution of the coupled equations reveals the existence of a critical temperature below which D vanishes. The theory is in excellent agreement with molecular dynamics values for D, over a wide temperature range in which D displays activated behavior, in Lennard-Jones argon at a reduced density of unity.
    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 94 (1991), S. 6762-6769 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Further results are given on the application of harmonic normal mode analysis to liquid state dynamics. A new configuration space-normal mode theory is presented for the velocity correlation function. Here, the hopping rate, ωv, of the phase point among the local minima of the potential in configuration space plays a key role. A new relation is given connecting the unstable mode lobe, 〈ρ(ω)〉u, of the averaged density of states to the topology of the potential in configuration space. This relation is used to express the hopping rate in terms of 〈ρ(ω)〉u. With the hopping rate in hand, the velocity correlation function is calculated from the theory in supercooled Lennard-Jones argon at unit density and over the temperature range T=150 K down to T=80 K, where the theory predicts a glass transition. Agreement between theory and computer simulation is excellent. The predicted hopping rates are also in good agreement with the simulation results of Stillinger and Weber.
    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 94 (1991), S. 569-573 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A direct analytical relation between solvation dynamics and the electron transfer reaction rate is established. Both the time dependence of solvation dynamics and the reaction rate constant are experimentally measurable. If the effects of spatial dispersion of the solvent are not essential then one can expect that solvation dynamics is universal. The favored condition for the observation of the relation between the two phenomena is 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 91 (1989), S. 5581-5586 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Harmonic normal-mode analysis is applied to Lennard-Jones (LJ) liquids. The configuration-averaged density of (vibrational) states is obtained via numerical eigenanalysis of the force-constant matrices appropriate to an ensemble of liquid configurations; the configurations are generated by computer simulation. The contribution of unstable modes is included and plays a crucial role in the analysis. It is argued that the density of states contains information which may be used to construct theories of liquid-state dynamics. The argument is pursued at two levels. First, it is demonstrated that a glance at the density of states conveys a powerful, intuitive understanding of several aspects of the dynamics. Second, a theory of the self-diffusion constant is constructed which may be regarded as a preliminary attempt to base systematic transport theory upon normal-mode quantities.
    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 98 (1993), S. 3342-3350 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Theoretical expressions are presented, at various levels of approximation, for the density of states 〈ρu(ω)(approximately-greater-than) of harmonic modes with imaginary frequencies in liquids; these are also referred to as unstable modes. The relation between the frequency integral of 〈ρu(ω)(approximately-greater-than), which is the fraction of unstable modes fu and the barrier crossing Boltzmann factor for self-diffusion is clarified. A new relation between the potential energy of the supercooled liquid and fu is derived. The averaged barrier energy/particle for diffusion enters this relation as a parameter and our consequent estimates of the barrier are in good agreement with existing estimates.
    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 103 (1995), S. 9810-9812 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A theory based upon normal mode analysis (NMA) is used to calculate the self-diffusion constant, D, in the unit density Lennard-Jones liquid. The theory, which uses no adjustable parameters, is in good agreement with computer simulation over the reduced temperature range 20≥T≥0.42. Thus NMA appears applicable to systems besides the cold liquids for which it was originally proposed. © 1995 American Institute of Physics.
    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 100 (1994), S. 6709-6717 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Normal mode analysis (NMA) is applied in a molecular-dynamics simulation of liquid CS2, modeled with a potential including internal degrees of freedom. The entire supercooled liquid range, from the glass transition at 100 K to melting at 165 K, and the normal liquid from 165 to 293 K, are studied at P=1 atm. The normal modes of the liquid are classified as translation parallel (trans-(parallel)) and perpendicular (trans-⊥) to the molecular axis, rotation, symmetric stretch, antisymmetric stretch, and bend. The configuration-averaged density of states, 〈ρ(ω)〉, with both stable and unstable modes, is correspondingly decomposed into separate contributions 〈ργ(ω)〉, with γ=trans-(parallel), etc. The trans-(parallel), trans-⊥, and rotational velocity correlation functions, and diffusion constants Dγ, are shown to be calculable from the same NMA techniques previously developed for atoms, so long as the appropriate 〈ργ(ω)〉 is used. Agreement between NMA theory and simulation is extremely good for the trans-⊥ velocity correlation function and for the diffusion constants in the lower temperature range, is good for the trans-(parallel) velocity correlation, and is fair for the rotational velocity correlation. Anharmonicities within wells of the many-body potential are seen to be more important in CS2 than in atomic liquids. At higher temperatures the rotational unstable modes, 〈ρurot(ω)〉, show a double-peak structure. It is proposed that the separate contributions of anharmonicity and barrier crossing are causing the two peaks, and a possible connection, respectively, with the separate β and α relaxation processes, observed in supercooled liquids, is suggested. Several other aspects of liquid-state NMA, including connections with spectroscopic measurements, are briefly considered.
    Type of Medium: Electronic Resource
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