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  • 11
    Digitale Medien
    Digitale Medien
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 82 (1985), S. 794-799 
    ISSN: 1089-7690
    Quelle: AIP Digital Archive
    Thema: Physik , Chemie und Pharmazie
    Notizen: The escape rate constant out of a metastable well for an impulsive collisional (BGK) model and the Fokker–Planck frictional (Kramers) model is evaluated analytically for arbitrary potentials and any number of degrees of freedom in the low collision or low friction limit. Completely statistical behavior of the collisionless dynamical system is assumed. The rate constants increase dramatically with the number of degrees of freedom. The result of the weak collision Kramers model allows us to evaluate the collision efficiency βc without adjustable parameters. It is argued that some reactions could be described by a non-Markovian Kramers model with an appropriate number of degrees of freedom.
    Materialart: Digitale Medien
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  • 12
    Digitale Medien
    Digitale Medien
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 84 (1986), S. 4327-4331 
    ISSN: 1089-7690
    Quelle: AIP Digital Archive
    Thema: Physik , Chemie und Pharmazie
    Notizen: We evaluate the dissociation rate constant of a molecule in the low pressure and the weak collision limit. We take the full coupling between energy and angular momentum into account by asymptotic techniques. We applied this result to a diatomic molecule using the Kramers frictional Fokker–Planck model. The predicted temperature dependence of the recombination rate constant is in agreement with experimental data on iodine recombination at high temperatures.
    Materialart: Digitale Medien
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  • 13
    Digitale Medien
    Digitale Medien
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 85 (1986), S. 146-149 
    ISSN: 1089-7690
    Quelle: AIP Digital Archive
    Thema: Physik , Chemie und Pharmazie
    Notizen: We study the rate constant in a bistable two degree of freedom system subject to impulsive BGK collisions. We find that the rate constant is very sensitive to the coupling of the degrees of freedom in the low collision regime. RRKM theory often overestimates the low collision rise—especially at higher collision rates, where the rate constant rises much more slowly making the molecule appear to have fewer degrees of freedom. We argue that such effects should be seen in experiments extending over a very wide range of pressures.
    Materialart: Digitale Medien
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  • 14
    Digitale Medien
    Digitale Medien
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 84 (1986), S. 1788-1794 
    ISSN: 1089-7690
    Quelle: AIP Digital Archive
    Thema: Physik , Chemie und Pharmazie
    Notizen: We calculate the barrier crossing rate constants for a Brownian particle in a double well potential experiencing a non-Markovian friction kernel using a full stochastic simulation. We compare the simulation results with recently proposed interpolation formulas which are based on the Grote–Hynes theory and the energy diffusion mechanism. We find that such formulas can fail by orders of magnitude in a physically interesting regime. Slow activation in an effective dynamic double well potential is probably responsible for the deviations observed.
    Materialart: Digitale Medien
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  • 15
    Digitale Medien
    Digitale Medien
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 83 (1985), S. 3172-3174 
    ISSN: 1089-7690
    Quelle: AIP Digital Archive
    Thema: Physik , Chemie und Pharmazie
    Notizen: We calculate the barrier crossing rate constants for a Brownian particle in a double well potential experiencing a non-Markovian friction kernel using full stochastic simulation. We compare the simulation results with recently proposed interpolation formulas which are based on the Grote–Hynes relation and energy diffusion mechanism. We find that such formulas fail in the intermediate regime by orders of magnitude. Therefore we question interpretations of dependence of isomerization rate data on the viscosity based on such ideas.
    Materialart: Digitale Medien
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  • 16
    Digitale Medien
    Digitale Medien
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 99 (1993), S. 2796-2808 
    ISSN: 1089-7690
    Quelle: AIP Digital Archive
    Thema: Physik , Chemie und Pharmazie
    Notizen: New path integral molecular dynamics (PIMD) and path integral hybrid Monte Carlo (PIHMC) algorithms are developed. It is shown that the use of a simple noncanonical change of variables that naturally divides the quadratic part of the action into long and short wavelength modes and multiple time scale integration techniques results in very efficient algorithms. The PIMD method also employs a constant temperature MD technique that has been shown to give canonical averages even for stiff systems. The new methods are applied to the simple quantum mechanical harmonic oscillator and to electron solvation in fluid helium and xenon. Comparisons are made with PIMC and the more basic PIMD and PIHMC methods.
    Materialart: Digitale Medien
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  • 17
    Digitale Medien
    Digitale Medien
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 99 (1993), S. 9054-9069 
    ISSN: 1089-7690
    Quelle: AIP Digital Archive
    Thema: Physik , Chemie und Pharmazie
    Notizen: The solvation of excess electrons in fluid methane and ethane is studied by path integral Monte Carlo computer simulation and by the fast-Fourier-transform–Lanczos diagonalization method using a newly developed electron-alkane pseudopotential. Many-body polarization interactions between solvent molecules are treated using a mean field approximation in the simulation. In methane, it is found that the electron is in an extended state throughout the whole fluid density range studied. In ethane, it is found that the solvated electron gradually becomes localized or "self-trapped,'' with cavity formation occurring at a fluid density where experimentally the electron is found to have a very low mobility and the threshold value for electron photoconduction rises above zero. The electronic ground state energies in the unperturbed solvent and in the electron-equilibrated solvent were compared. At the same density these electronic energies are very close to each other in methane and in the low density ethane fluids, but at higher ethane densities, where cavity formation takes place, the ground state energy in the electron solvated fluid is lower than that in the unperturbed fluid.
    Materialart: Digitale Medien
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  • 18
    Digitale Medien
    Digitale Medien
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 95 (1991), S. 8362-8364 
    ISSN: 1089-7690
    Quelle: AIP Digital Archive
    Thema: Physik , Chemie und Pharmazie
    Notizen: When there are high and low frequency motions in systems with long and short range forces a judicious choice of reference system leads to very large accelerations in molecular dynamic (MD) simulations. Building on our previous work where we have developed reference system methods for systems with high frequency oscillators, disparate masses, or long range forces, we present a double reference system method which leads to acceleration of as much as 20 in systems consisting of 864 molecules with Lennard-Jones (12-6) forces. Much larger savings should be achieved when this method is applied to longer range forces and larger systems.
    Materialart: Digitale Medien
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  • 19
    Digitale Medien
    Digitale Medien
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 94 (1991), S. 1465-1469 
    ISSN: 1089-7690
    Quelle: AIP Digital Archive
    Thema: Physik , Chemie und Pharmazie
    Notizen: A frequently encountered problem in molecular dynamics is how to treat the long times that are required to simulate condensed systems consisting of mixtures of light and heavy particles. Standard methods require the choice of time step sufficiently small to guarantee stable solution for the low mass component with the consequence that these simulations require a very large number of central processing unit cycles to treat the relaxation of the heavier component. In this note, we present a new method that allows one to use a time step appropriate for the heavy particles. This method uses a similar idea to numerical analytical propogator algorithm, an algorithm we invented to treat high frequency oscillators interacting with low frequency baths and is based on a choice of a reference system for the light particle motions. The method is applied to the case of a liquid containing 864 Lennard-Jones spheres, 824 of these particles having a mass, M=100 and 40 spheres picked at random have a mass m=1. It is shown that molecular dynamics using the new algorithm runs seven to ten times faster than standard methods and this approach as well as suitable generalizations should be very useful for future simulations of quantum and classical condensed matter systems.
    Materialart: Digitale Medien
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  • 20
    Digitale Medien
    Digitale Medien
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 90 (1989), S. 3744-3755 
    ISSN: 1089-7690
    Quelle: AIP Digital Archive
    Thema: Physik , Chemie und Pharmazie
    Notizen: In a previous paper, Martyna and Berne, J. Chem. Phys. 88, 4516 (1988), diffusion Monte Carlo simulations were performed to determine the absolute binding energies of an excess electron to small clusters of xenon atoms (n≤19) using a pair additive pseudopotential. In this approximation, the electron–xenon polarization energy is treated as pair additive and therefore ignores the induced dipole–induced dipole interactions. Here we treat the many-body polarization problem in the dipole approximation. It is found that while the smallest stable cluster anion is Xe−6 for the pair polarization model this increases to Xe−7 for the many-body polarization model. In fact, the electron binding energy corresponding to the pair-polarization model was found to be a factor of 2.7 larger than for the many-body polarization model for all the clusters studied. In accord with this very large destabilization of electron binding energy (induced by many-body polarization), the spatial extent of the electronic ground state in the many-body polarization model increases compared to that of the pair polarization model. We also compare our results for both the many-body polarization and the two-body polarization models to corresponding dielectric continuum models developed by Stampfli and Bennemann, Phys. Rev. A 71, 1674 (1988). In the many-body polarization case, the continuum model agrees well with our results. However, the agreement in the pair polarization case is rather poor for all cluster sizes. If parameters of the continuum model are adjusted to obtain agreement for small clusters sizes, the model is found to break down for large clusters sizes where the spatial extent of the electron is small enough that the microscopic details of the cluster become extremely important. A new variant of the fast Fourier transform projector method suitable for use in problems involving electron attachment to clusters is also developed. The results obtained with this new method are shown to agree with those of diffusion Monte Carlo.
    Materialart: Digitale Medien
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