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  • 1
    Electronic Resource
    Electronic Resource
    The distribution function of the radius of gyration of linear polymers in two and three dimensions (1991)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 95 (1991), S. 606-607 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Monte Carlo simulations employing the pivot algorithm are used to generate excluded-volume chains on two- and three-dimensional lattices. The radius of gyration distribution function is calculated from the resulting configurations. The distributions are in excellent agreement with the scaled form postulated by Lhuillier.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.461462
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  • 2
    Electronic Resource
    Electronic Resource
    Universal properties of linear and ring polymers (1988)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 1159-1162 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The ratio of the mean-square radius of gyration to mean-square end-to-end distance for linear chains and the mean-square radius of gyration ratio of ring to linear chains are investigated for two- , three- , four- , and five-dimensional polymers, with and without excluded volume, via Brownian dynamics. Our studies, for the Lennard-Jones repulsive interaction, indicate the universality of these ratios.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.455223
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  • 3
    Electronic Resource
    Electronic Resource
    Brownian dynamics simulation of uniform comb polymers in two dimensions (1992)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 97 (1992), S. 1471-1472 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Brownian dynamics simulations are made for continuum, excluded, and nonexcluded volume, uniform H-comb polymers in two dimensions. It is found that the end-to-end distance and radius of gyration of the inner branches are expanded more than those of the outer branches for excluded volume combs. The ratio of the end-to-end distance scaling amplitudes appears to be a universal quantity in agreement with the conjecture of Gaunt et al.1 Moreover, the ratio of the radii of gyration scaling amplitudes seems to be universal.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.463223
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  • 4
    Electronic Resource
    Electronic Resource
    Structure function of linear polymers in the ideal and excluded volume regime (1991)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 94 (1991), S. 6920-6923 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Monte Carlo simulations employing the pivot algorithm are used to generate ideal and excluded-volume chains on two- and three-dimensional lattices. The second, fourth, sixth, and eighth moments of the average monomer–monomer separation are calculated from the resulting configurations. The coefficients in the expansion of the structure factor are computed from universal ratios of these. The values found for excluded-volume chains are smaller than the ideal chain values and the differences are greater in two dimensions than in three dimensions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.460725
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  • 5
    Electronic Resource
    Electronic Resource
    Brownian dynamics simulation of uniform comb polymers in three dimensions (1993)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 98 (1993), S. 1611-1612 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Brownian dynamics simulations are made for continuum, excluded, and nonexcluded volume, uniform H-comb polymers in three dimensions. It is found that the end-to-end distance and radius of gyration of the inner branches are expanded more than those of the outer branches for excluded volume combs. The ratio of the end-to-end distance scaling amplitudes appears to be a universal quantity in agreement with the conjecture of Gaunt et al. [J. Phys. A 19, L811 (1986)]. Moreover, the ratio of the radii of gyration scaling amplitudes seems to be universal. The expansion effect is smaller in three dimensions than in two dimensions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.464278
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  • 6
    Electronic Resource
    Electronic Resource
    Radius of gyration of uniform H-comb polymers in two and three dimensions (1993)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 99 (1993), S. 9170-9171 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Brownian dynamics simulations are made for continuum, excluded volume, uniform H-comb polymers in two and three dimensions. It is found that the radius of gyration power law exponent is 1.50±0.01 and 1.22±0.01 in two and three dimensions, respectively. The g ratio of continuum H-combs is in excellent agreement with lattice Monte Carlo, experimental data, and renormalization group predictions in three dimensions; in two dimensions the leading order renormalization group predictions are unreliable.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.465531
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  • 7
    Electronic Resource
    Electronic Resource
    Polymer shapes in two, four, and five dimensions (1988)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 88 (1988), S. 3976-3980 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The average asymmetry of two-, four-, and five-dimensional linear and ring polymers, with and without excluded volume, is investigated numerically via Brownian dynamics. It is found that the average asymmetry of nonexcluded volume chains is in good agreement with theoretical predictions in all dimensions studied. The distribution of the average asymmetry is also determined. This distribution indicates that two-dimensional ring chains are likely to be nearly symmetrical. Moreover, the distribution of the maximum eigenvalues of the tensor of the moment of inertia is also in agreement with the theoretical predictions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.453847
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  • 8
    Electronic Resource
    Electronic Resource
    Application of the pivot algorithm for investigating the shapes of two- and three-dimensional lattice polymers (1988)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 88 (1988), S. 6594-6596 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A pivot algorithm is used to numerically investigate the shape properties of linear polymers, with and without excluded volume, in two and three dimensions. The high computational efficiency of the pivot algorithm has allowed us to obtain data which is four to eight times more accurate than our previous Brownian dynamics simulations, while employing considerably less computational resources. The accurate data for long polymer chains highlight the inadequacy of the d expansion of polymer shapes to first order only.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.454446
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  • 9
    Electronic Resource
    Electronic Resource
    The shapes of two-, four-, and five-dimensional linear and ring polymers (1986)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 85 (1986), S. 6728-6731 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The shapes of two- , four- , and five-dimensional linear and ring polymers, with and without excluded volume, are investigated numerically via Brownian dynamics. It is found that the asphericity of nonexcluded volume linear polymers is in agreement with theoretical predictions in all dimensions. Agreement with available theoretical predictions is also obtained for two-dimensional nonexcluded volume ring polymers. Moreover, it is shown that excluded volume polymers become more ideal (i.e., closer to nonexcluded volume polymers) as the dimension is increased.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.451403
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  • 10
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    Universal properties of linear and ring polymers (1988)
    American Institute of Physics
    Details
    Publication Date: 1988-07-15
    Print ISSN: 0021-9606
    Electronic ISSN: 1089-7690
    Topics: Chemistry and Pharmacology , Physics
    Published by American Institute of Physics
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