Molecular theory of Brownian motion

Mazur, Péter; Oppenheim, Irwin

doi:10.1016/0031-8914(70)90005-4

Cited by 195 publications

(115 citation statements)

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“…On the other hand, the removed coordinates give rise to friction and random forces in the equations of motion for the retained coordinates. 25,26 In most coarse-grain representations of soft matter systems, these frictions and random forces necessarily have "memory" of the configurations the system has gone through in the recent, and sometimes even the distant past. 23 For example, when describing polymeric systems on the level of their centers of mass, as we do here, the friction and random forces must effectively represent all important effects caused by the entanglements; a simple Brownian dynamics propagator with realistic mean forces and Markovian random displacements will not reproduce representative paths of the retained coordinates.…”

Section: A Backgroundmentioning

confidence: 99%

Alignment of particles in sheared viscoelastic fluids

Oliveira

Noort

Padding

et al. 2011

The Journal of Chemical Physics

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Document VersionPublisher's PDF, also known as Version of Record (includes final page, issue and volume numbers) Please check the document version of this publication:• A submitted manuscript is the author's version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website.• The final author version and the galley proof are versions of the publication after peer review.• The final published version features the final layout of the paper including the volume, issue and page numbers. Link to publication General rightsCopyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.• Users may download and print one copy of any publication from the public portal for the purpose of private study or research.• You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal ? Take down policyIf you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. Related ArticlesStability of solvated nanosheet in shear flow Appl. Phys. Lett. 97, 214102 (2010) Analysis of the configurational temperature of polymeric liquids under shear and elongational flows using nonequilibrium molecular dynamics and Monte Carlo simulations J. Chem. Phys. 132, 184906 (2010) Dynamics and rheology of wormlike micelles emerging from particulate computer simulations J. Chem. Phys. 129, 074903 (2008) Coarse-grained molecular dynamics simulation on the placement of nanoparticles within symmetric diblock copolymers under shear flow J. Chem. Phys. 128, 164909 (2008) Nonequilibrium molecular dynamics of the rheological and structural properties of linear and branched molecules. Simple shear and poiseuille flows; instabilities and slip J. Chem. Phys. 123, 054907 (2005) Additional information on J. Chem. Phys. We investigate the shear-induced structure formation of colloidal particles dissolved in nonNewtonian fluids by means of computer simulations. The two investigated visco-elastic fluids are a semi-dilute polymer solution and a worm-like micellar solution. Both shear-thinning fluids contain long flexible chains whose entanglements appear and disappear continually as a result of Brownian motion and the applied shear flow. To reach sufficiently large time and length scales in threedimensional simulations with up to 96 spherical colloids, we employ the responsive particle dynamics simulation method of modeling each chain as a single soft Brownian par...

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Section: A Backgroundmentioning

confidence: 99%

Alignment of particles in sheared viscoelastic fluids

Oliveira

Noort

Padding

et al. 2011

The Journal of Chemical Physics

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“…The equation is coupled with bath degrees of freedom which may be "projected out" with an appropriate projection operator technique [12,13]. As a result, to lowest order in λ, one obtains the conventional linear Langevin equationv…”

Section: Theory: Langevin Equationmentioning

confidence: 99%

“…To make more qualitative predictions, one needs an explicit expression for the ratio of the dissipative coefficients γ 2 /γ 0 , which is the prefactor in Eq. (12). Since a general result for this ratio is unknown, in the rest of the paper we discuss a specific model of Brownian motion -the Rayleigh modelfor which our numerical experiment is carried out, and for which analytical results are available.…”

Section: Theory: Langevin Equationmentioning

confidence: 99%

Nonlinear dissipation effect in Brownian relaxation

Plyukhin

Froese

2007

Phys. Rev. E

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In an ensemble of non-interacting Brownian particles, a finite systematic average velocity may temporarily develop, even if it is zero initially. The effect originates from a small nonlinear correction to the dissipative force, causing the equation for the first moment of velocity to couple to moments of higher order. The effect may be relevant when a complex system dissociates in a viscous medium with conservation of momentum.

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“…The mass dependence of ξ is attributed to the insufficient time scale separation of Brownian motion of the particle of interest and those among the surrounding fluid molecules, relevant to the derivation of the linear Langevin equation from Hamiltonian through projection operator formalism. 32 The rate of decay is faster and the overshoot is prominent in the FACFs when the mass is lighter (Fig. 4(a)) and when charge exists (Fig.…”

Section: Fig 4 Normalized Force Autocorrelation Functions (Facfs) Omentioning

confidence: 98%