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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 92 (1990), S. 7722-7722 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    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 91 (1989), S. 3168-3173 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Molecular dynamics simulations of the freely jointed effective hard sphere model of a polymer melt are performed, with continuous covalent and noncovalent potentials employed for computational convenience. The virial theorem is used to determine the melt pressure from the simulations. Excellent agreement is found over a wide range of density and degree of polymerization with the recently introduced equation of state of Honnell and Hall. The atomic pressure is defined as the contribution made by each atom to the compressibility factor of the system; it is found to be uniform along the interior atoms of the polymer chain, with slightly different values for the end atoms. This uniform value is almost independent of N, the number of bonds in the chain, and explains the small dependence on N of the pressure that is observed. Particular attention is paid to the contribution to the pressure made by the force in the covalent bonds of the system. For packing fractions greater than 0.3, approximately 30% of the pressure in the melt arises from this source.
    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. 8698-8704 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: It has been generally assumed that the nonbonded interactions in a dense polymer melt make only an isotropic contribution to the stress. Recent computer simulations of stress relaxation in systems of idealized chain models have shown that this is not the case. In fact, the nonbonded interactions are primarily responsible for the anisotropic stress during a stress relaxation process. To check that this result is not due to the idealized character of the chain models, simulations are performed for a melt employing a more realistic model, namely that representing a freely-rotating chain. The parameters employed correspond to the freely-rotating chains (FRC) model melt studied in extensive simulations by Takeuchi and Roe. We find that the primary role of the nonbonded interactions remains unchanged. Simulations are performed at several temperature levels at constant pressure. It is found that the temperature–time equivalence principle applies to the simulated shear relaxation modulus. The required shift factor aT satisfies the WLF (Williams–Landel–Ferry) equation with fairly reasonable parameter values.
    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 90 (1989), S. 6749-6760 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: By means of the virial stress formula, the macroscopic stress tensor in a polymer system may be expressed as a sum of atomic-level stress tensors, with each of the latter associated with a single atom and with all tensors, macroscopic and atomic, referred to the same fixed laboratory reference frame. In order to gain insight into the interplay between the covalent and noncovalent interactions in such systems, we refer the atomic-level stress tensor associated with a given atom to a moving local frame which maintains a fixed orientation with respect to the covalent structure attached to that atom; we term this the intrinsic atomic-level stress. We compute, by the method of molecular dynamics, the intrinsic stresses for model polymer melts and networks based on systems of freely rotating chains. The noncovalent interactions are through a truncated Lennard-Jones potential which is taken as either purely repulsive or has an attractive portion. We observe that (i) the intrinsic atomic-level stresses are highly anisotropic, even in an equilibrium melt in which the macroscopic stress is isotropic; (ii) the intrinsic atomic-level stress is the same in a polymer melt and in the corresponding polymer network model, if the latter is only moderately deformed; (iii) the intrinsic stresses in dense polymer melts are very different in the presence of noncovalent interactions from those in ideal systems; (iv) the addition of an attractive portion to the noncovalent potential has large effects on the deviatoric part of the intrinsic stress, thus casting doubt on the utility of the van der Waals' picture for such systems.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Macromolecules 10 (1977), S. 317-325 
    ISSN: 1520-5835
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , 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. 1621-1626 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Simulations, described in the previous paper, by nonequilibrium molecular dynamics of stress relaxation in a model polymer melt of freely jointed chains with N=200 bonds exhibited an incipient plateau, followed by a period in which the relaxing stress corresponded to the entropic stress with an entanglement length of Ne=40 bonds. This paper describes two types of diagnostic subroutines used to search for the entanglements or obstacles responsible for these phenomena. The first examined the rate of separation of initially neighboring interchain atom pairs but did not serve to uncover many topological entanglements. The second introduced a measure of time-averaged atomic mobility and found that intrachain atoms of relatively low mobility tended to cluster in groups along the chain. The average spacing between clusters appears to introduce a new length scale in polymer melts that is independent of the conventional picture of interchain entanglements. © 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 100 (1994), S. 682-686 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: When a polymer chain is confined to a box with sides Lx≠Ly=Lz whose dimensions are small compared to the chain radius of gyration, it gives rise to unequal pressure components, Px≠Py=Pz, where Px is the pressure acting on a face perpendicular to the x axis. This problem is treated analytically by Doi and Edwards for an ideal Gaussian chain. We study the effect of excluded volume by molecular dynamics simulation of a confined chain with 1600 bonds and find that it increases the pressure anisotropy by a factor of 6 for reasonable packing fractions. By comparison with the pressure anisotropy in the corresponding confined simple liquid, we conclude that in this system the pressure anisotropy is primarily due to packing entropy rather than to chain conformational entropy.
    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 103 (1995), S. 1614-1620 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The computer simulation of stress relaxation in a model polymer melt is performed with a nonequilibrium molecular dynamics algorithm. The chains are freely jointed with N=30, 100, and 200 bonds and with both intra- and interchain excluded volume interactions. For N=200, the model exhibits incipient plateau behavior as evidenced by an inflection point in the stress relaxation history. Comparison is made between the stress history as computed on the atomic level by the virial stress formula and on the molecular level using the entropic spring formulation. The two histories are in agreement only for the case of N=200, with entanglement length Ne=40, and only for the time period following the inflection point. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Macromolecules 20 (1987), S. 2520-2525 
    ISSN: 1520-5835
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Macromolecules 22 (1989), S. 4544-4549 
    ISSN: 1520-5835
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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