The effects of hydrodynamic noise on the diffusion of polymers in dilute solutions

Lisý, V.; Tóthová, Jana; Zatovsky, A.V.

doi:10.1088/1742-5468/2008/01/p01024

Cited by 7 publications

(9 citation statements)

References 33 publications

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“…The correlation function exhibits a star-polymer-specific time regime for short times, which depends on the arm number, and crosses over to a universal, fluid-determined long-time tail with the power-law dependence t −3/2 , as observed for linear polymers. 46,49,50 The simulation results are well described by an analytical expression derived from the Landau-Lifshitz Navier-Stokes fluctuating hydrodynamic equations 46 for small arm numbers. For larger functionalities, additional effects lead to a faster decay of the correlation function in the polymer-specific time range.…”

Section: Introductionmentioning

confidence: 68%

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Hydrodynamic correlations and diffusion coefficient of star polymers in solution

Singh

Huang

Westphal

et al. 2014

The Journal of Chemical Physics

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The center-of-mass dynamics of star polymers in dilute solution is analyzed by hybrid mesoscale simulations. The fluid is modeled by the multiparticle collision dynamics approach, a particle-based hydrodynamic simulation technique, which is combined with molecular dynamics simulations for the polymers. Star polymers of various functionalities are considered. We determine the center-of-mass velocity correlation functions, the corresponding mean square displacements, and diffusion coefficients. The velocity correlation functions exhibit a functionality-dependent and structure-specific intermediate time regime, with a slow decay. It is followed by the long-time tail t(-3/2), which is solely determined by the fluid. Infinite-system-size diffusion coefficients are determined from the velocity correlation function by a combination of simulation and analytical results, as well as from the center-of-mass mean square displacement for various systems sizes and extrapolation. In terms of the hydrodynamic radius, the star polymer hydrodynamic diffusion coefficient exhibits the same universal system-size dependence as a spherical colloid. The functionality dependence of the ratio of hydrodynamic radii and the radii of gyration agrees well with experimental predictions.

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Section: Introductionmentioning

confidence: 68%

“…In comparison, little attention has been paid to their short-time behavior, where fluid fluctuations are important. 46,47,49,50 Moreover, the impact of hydrodynamic fluctuations on the dynamics of more complex polymer architectures such as star polymers has not been addressed at all.…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamic correlations and diffusion coefficient of star polymers in solution

Singh

Huang

Westphal

et al. 2014

The Journal of Chemical Physics

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“…Comparably little attention has been paid to the polymer dynamics on shorter time scales, where fluid fluctuations are important. 54,55 On this scale, polymer center-of-mass velocity correlation functions exhibit a distinct behavior over a wide, polymer-length dependent, time range before the asymptotic long-time tail is reached. Moreover, sound may play an important role on such time scales, depending on the properties of the solvent.…”

Section: Introductionmentioning

confidence: 99%

Effect of hydrodynamic correlations on the dynamics of polymers in dilute solution

Huang

Gompper

Winkler

2013

The Journal of Chemical Physics

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We analyze the effect of time-dependent hydrodynamic interactions on the dynamics of flexible polymers in dilute solution. In analytical calculations, the fluctuating hydrodynamics approach is adopted to describe the fluid, and a Gaussian model to represented the polymer. Simulations are performed exploiting the multiparticle collision dynamics approach, a mesoscale hydrodynamic simulation technique, to explicitly describe the fluid. Polymer center-of-mass velocity correlation functions are calculated for various polymer lengths. Similarly, segment mean square displacements are discussed and polymer diffusion coefficients are determined. Particular attention is paid to the influence of sound propagation on the various properties. The simulations reveal a strong effect of hydrodynamic interactions. Specifically, the time dependence of the center-of-mass velocity correlation functions is determined by polymer properties over a length-dependent time window, but are asymptotically solely governed by fluid correlations, with a long-time tail decaying as t(-3/2). The correlation functions are heavily influenced by sound modes for short polymers, an effect which gradually disappears with increasing polymer length. We find excellent agreement between analytical and simulation results. This allows us to provide a theory-based asymptotic value for the polymer diffusion coefficient in the limit of large system sizes, which is based on a single finite-system-size simulation.

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“…This is not the case here since, due to the fluctuation-dissipation theorem [17] at different times, the values of ξ(t) correlate. The solution of (7), e.g., for the VAF, is [12,23],…”

Section: Hydrodynamic Langevin Equation For the Brownian Motionmentioning

confidence: 99%

An Efficient Method to Study Nondiffusive Motion of Brownian Particles

Lisý

Tóthová

2016

EPJ Web of Conferences

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Abstract. The experimental access to short timescales has pointed to the inadequacy of the standard Langevin theory of the Brownian motion (BM) in fluids. The hydrodynamic theory of the BM describes well the observed motion of the particles; however, the published approach should be improved in several points. In particular, it leads to incorrect correlation properties of the thermal noise driving the particles. In our contribution we present an efficient method, which is applicable to linear generalized Langevin equations describing the BM of particles with any kind of memory and apply it to interpret the experiments where nondiffusive BM of particles was observed. It is shown that the applicability of the method is much broader, allowing, among all, to obtain efficient solutions of various problems of anomalous BM.

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The effects of hydrodynamic noise on the diffusion of polymers in dilute solutions

Cited by 7 publications

References 33 publications

Hydrodynamic correlations and diffusion coefficient of star polymers in solution

Hydrodynamic correlations and diffusion coefficient of star polymers in solution

Effect of hydrodynamic correlations on the dynamics of polymers in dilute solution

An Efficient Method to Study Nondiffusive Motion of Brownian Particles

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