Brownian motion of a particle with arbitrary shape

Cichocki, B.; Ekiel-Jeżewska, Maria L.; Wajnryb, Eligiusz

doi:10.1063/1.4921729

Cited by 22 publications

(32 citation statements)

References 17 publications

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“…Finally, let us briefly recall the case of a rigid macromolecule. In such a case, the memory function can be calculated analytically (Cichocki, Ekiel-Jezewska & Wajnryb 2012; Cichocki, Ekiel-Jeżewska & Wajnryb 2015) and it can be shown that there exists a reference point for which the memory function vanishes; thus the mean square displacement of this point is linear over the entire time range.…”

Section: Discussionmentioning

confidence: 99%

Diffusion coefficients of elastic macromolecules

et al. 2019

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In elastic macromolecules, the value of the short-time diffusion coefficient depends on the choice of the point the displacement of which is tracked. On the other hand, experimentally more relevant long-time diffusion coefficient is independent of the reference point, but its estimation usually requires computationally expensive Brownian dynamics simulations. Here we show how to obtain a precise estimate of long-time diffusion coefficient of elastic macromolecules in a fast and robust manner, without invoking Brownian dynamics.

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Section: Discussionmentioning

confidence: 99%

Diffusion coefficients of elastic macromolecules

et al. 2019

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“…More recently, Mo et al [16] studied the Brownian motion of a sphere in the vicinity of a plane wall, showing the effect of wettability on the statistical properties of particle motion. Cichocki et al [17] performed a theoretical analysis of the Brownian motion of a particle with an arbitrary shape. They [17] derived analytical expressions for the time-dependent cross-correlations of the Brownian translational and rotational displacements.…”

Section: Introductionmentioning

confidence: 99%

“…Cichocki et al [17] performed a theoretical analysis of the Brownian motion of a particle with an arbitrary shape. They [17] derived analytical expressions for the time-dependent cross-correlations of the Brownian translational and rotational displacements. Jahanshahi et al [18] studied the dynamics of a Brownian circle swimmer in an external harmonic potential and found a resonance situation for the maximum escape distance as a function of the various frequencies in the system.…”

Section: Introductionmentioning

confidence: 99%

Direct numerical simulation of particle Brownian motion in a fluid with inhomogeneous temperature field

Nie

Wang

2020

THERM SCI

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In this work the fluctuating-lattice Boltzmann method was adopted to numerically investigate the Brownian motion of particles in a fluid with inhomogeneous temperature field. It has been found that the Brownian particles are preferential to randomly move into a cold fluid area. Once the particles go into the cold area, the boundary between the hot fluid and cold fluid acts like a temperature barrier, preventing the particles from going out. Most important of all, the Brownian particles can be captured or collected by the cold fluid area if the temperature of cold fluid is lower than a critical value. In addition, the dependence of this critical value on the fluid viscosity is studied.

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“…For microparticles of complex shapes, a more general theoretical approach is needed to account for the time-dependent Brownian translational and rotational displacements and their cross-correlations. Such an approach has been recently developed, and new analytical expressions have been derived from the Smoluchowski equation for the Brownian motion of a particle with an arbitrary shape [2][3][4].…”

Section: Introductionmentioning

confidence: 99%

“…Therefore it seems useful to demonstrate explicitly how to apply the theoretical scheme from Refs. [3,4] to analyze the data from measurements. In this work, we use the interesting experiment from Ref.…”

Section: Introductionmentioning

confidence: 99%

Translational and rotational Brownian displacements of colloidal particles of complex shapes

Cichocki,

Ekiel-Jezewska,

Wajnryb

2016

Preprint

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The exact analytical expressions for the time-dependent cross-correlations of the translational and rotational Brownian displacements of a particle with arbitrary shape were derived by us in [J. Chem. Phys. 142, 214902 (2015) and 144, 076101 ( 2016)]. They are in this work applied to construct a method to analyze Brownian motion of a particle of an arbitrary shape, and to extract accurately the self-diffusion matrix from the measurements of the cross-correlations, which in turn allows to gain some information on the particle structure. As an example, we apply our new method to analyze the experimental results of D. J. Kraft et al. for the micrometer-sized aggregates of the beads [Phys. Rev. E 88, 050301 (R) ( 2013)]. We explicitly demonstrate that our procedure, based on the measurements of the time-dependent cross-correlations in the whole range of times, allows to determine the self diffusion (or alternatively the friction matrix) with a much higher precision than the method based only on their initial slopes. Therefore, the analytical time-dependence of the cross-correlations serves as a useful tool to extract information about particle structure from trajectory measurements.

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Brownian motion of a particle with arbitrary shape

Cited by 22 publications

References 17 publications

Diffusion coefficients of elastic macromolecules

Diffusion coefficients of elastic macromolecules

Direct numerical simulation of particle Brownian motion in a fluid with inhomogeneous temperature field

Translational and rotational Brownian displacements of colloidal particles of complex shapes

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