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  • 1
    Electronic Resource
    Electronic Resource
    Tiling problems and undecidability in the cluster variation method (1988)
    Springer
    Journal of statistical physics 50 (1988), S. 689-714 
    Details
    ISSN: 1572-9613
    Keywords: Classical lattice system ; variational principle ; cluster variation method ; tiling problem ; undecidability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In cluster approximations for lattice systems the thermodynamic behavior of the infinite system is inferred from that of a relatively small, finite subsystem (cluster), approximations being made for the influence of the surrounding system. In this context we study, for translation-invariant classical lattice systems, the conditions under which a state for a cluster admits an extension to a global translation-invariant state. This extension problem is related to undecidable tiling problems. The implication is that restrictions of global translation-invariant states cannot be characterized purely locally in general. This means that there is an unavoidable element of uncertainty in the application of a cluster approximation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01026496
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Simulation of a confined polymer in solution using the dissipative particle dynamics method (1994)
    Springer
    International journal of thermophysics 15 (1994), S. 1093-1101 
    Details
    ISSN: 1572-9567
    Keywords: dissipative particle dynamics ; confined polymer chains ; molecular dynamics simulations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The dynamics of a bead-and-spring polymer chain suspended in a sea of solvent particles are examined by dissipative particle dynamics (DPD) simulations. The solvent is treated as a structured medium, comprised of particles subject to both solvent-solvent and solvent-polymer interactions and to stochastic Brownian forces. Thus hydrodynamic interactions among the beads of the polymer evolve naturally from the dynamics of the solvent particles. DPD simulations are about two orders of magnitude faster than comparable molecular dynamics simulations. Here we report the results of an investigation into the effects of confining the dissolved polymer chain between two closely spaced parallel walls. Confinement changes the polymer configuration statistics and produces markedly different relaxation times for chain motion parallel and perpendicular to the surface. This effect may be partly responsible for the gap width-dependent theological properties observed in nanoscale rheometry.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01458818
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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