0000000000710087

AUTHOR

Sergei Obukhov

showing 2 related works from this author

Scale-free static and dynamical correlations in melts of monodisperse and Flory-distributed homopolymers: A review of recent bond-fluctuation model s…

2011

It has been assumed until very recently that all long-range correlations are screened in three-dimensional melts of linear homopolymers on distances beyond the correlation length $\xi$ characterizing the decay of the density fluctuations. Summarizing simulation results obtained by means of a variant of the bond-fluctuation model with finite monomer excluded volume interactions and topology violating local and global Monte Carlo moves, we show that due to an interplay of the chain connectivity and the incompressibility constraint, both static and dynamical correlations arise on distances $r \gg \xi$. These correlations are scale-free and, surprisingly, do not depend explicitly on the compres…

Physics010304 chemical physicsScale (ratio)Monte Carlo methodDispersityFOS: Physical sciencesStatistical and Nonlinear PhysicsCondensed Matter - Soft Condensed Matter01 natural sciences3. Good healthConstraint (information theory)Condensed Matter::Soft Condensed MatterChain (algebraic topology)0103 physical sciencesExcluded volumeCompressibilitySoft Condensed Matter (cond-mat.soft)Statistical physics010306 general physicsMathematical PhysicsTopology (chemistry)
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Long Range Bond-Bond Correlations in Dense Polymer Solutions

2004

The scaling of the bond-bond correlation function $C(s)$ along linear polymer chains is investigated with respect to the curvilinear distance, $s$, along the flexible chain and the monomer density, $\rho$, via Monte Carlo and molecular dynamics simulations. % Surprisingly, the correlations in dense three dimensional solutions are found to decay with a power law $C(s) \sim s^{-\omega}$ with $\omega=3/2$ and the exponential behavior commonly assumed is clearly ruled out for long chains. % In semidilute solutions, the density dependent scaling of $C(s) \approx g^{-\omega_0} (s/g)^{-\omega}$ with $\omega_0=2-2\nu=0.824$ ($\nu=0.588$ being Flory's exponent) is set by the number of monomers $g(\r…

chemistry.chemical_classificationPhysicsLinear polymerGeneral Physics and AstronomyFOS: Physical sciences02 engineering and technologyPolymerCondensed Matter - Soft Condensed Matter010402 general chemistry021001 nanoscience & nanotechnology01 natural sciencesPower lawOmega0104 chemical sciencesChemical bondchemistryDensity dependentExponentSoft Condensed Matter (cond-mat.soft)Statistical physicsAtomic physics0210 nano-technologyScaling[PHYS.COND.CM-SCM]Physics [physics]/Condensed Matter [cond-mat]/Soft Condensed Matter [cond-mat.soft]61.25.Hq 05.10.Ln 05.40.Fb
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