Active particles with fractional rotational Brownian motion

Gomez-Solano, Juan Ruben; Sevilla, Francisco J.

doi:10.1088/1742-5468/ab8553

Cited by 16 publications

(9 citation statements)

References 70 publications

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“…Our model can be extended to higher spatial dimensions [69], to harmonic confinement [86][87][88][89], to external fields [90,91], and to include inertia [5,70,71,[92][93][94][95] where an analytical solution seems to be in reach as well. Moreover different combinations of friction and memory kernel as well as colored noise can be considered for future work [96][97][98][99][100], for instance, Mittag-Leffler noise [101,102] or power-law memory [103,104]. Finally the collective behavior of many interacting active particles in a viscoelastic medium [105][106][107][108][109][110][111] needs to be explored more and will be an important area of future research.…”

Section: Discussionmentioning

confidence: 99%

Active Brownian motion with memory delay induced by a viscoelastic medium

Sprenger¹,

Bair²,

Löwen³

2022

Preprint

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By now active Brownian motion is a well-established model to describe the motion of mesoscopic self-propelled particles in a Newtonian fluid. Here we use an extended model for swimming in a viscoelastic medium including memory effects of the solvent via a friction kernel for both translational and orientational degrees of freedom. We present an analytic framework for this extended model and evaluate it in particular for a Maxwell fluid characterized by a kernel which decays exponentially in time. We obtain analytical results for the mean displacement, the mean-square displacements and the orientational correlation function. We identify a memory induced delay between the effective self-propulsion force and the particle orientation which we quantify in terms of a special dynamical correlation function. In principle our predictions can be verified for an active colloidal particle in various viscoelastic environments such as a polymer solution.

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Section: Discussionmentioning

confidence: 99%

Active Brownian motion with memory delay induced by a viscoelastic medium

Sprenger¹,

Bair²,

Löwen³

2022

Preprint

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“…Thus, our approach could also be useful to investigate the effects of external gradients in the dynamics of active suspensions, e.g., particle concentration gradients, hydrodynamic flow, or temperature gradients, which are of great relevance to active matter systems. Another aspects that could be investigated in future work are the effect of long-ranged correlations in the propulsion velocity of the particles [90,91], negative friction memory [92] as well as spatially dependent friction [93], on the dynamic structure factor of active suspensions in complex fluids.…”

Section: Discussionmentioning

confidence: 99%

Nonequilibrium dynamical structure of a dilute suspension of active particles in a viscoelastic fluid

Gomez-Solano,

Rodriguez,

Salinas-Rodriguez

2022

Preprint

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In this work, we investigate the dynamics of the number density fluctuations of a dilute suspension of active particles in a linear viscoelastic fluid. We propose a model for the frequency-dependent diffusion coefficient of the active particles, which captures the effect of rotational diffusion on the persistence of their self-propelled motion and the viscoelasticity of the medium. Using fluctuating hydrodynamics, the linearized equations for the active suspension are derived, from which we calculate its dynamic structure factor and the corresponding intermediate scattering function. For a Maxwell-type rheological model, we find an intricate dependence of these functions on the parameters that characterize the viscoelasticity of the solvent and the activity of the particles, which can significantly deviate from those of an inert suspension of passive particles and of an active suspension in a Newtonian solvent. In particular, in some regions of the parameter space we uncover the emergence of oscillations in the intermediate scattering function at certain wave numbers, which represent the hallmark of the non-equilibrium particle activity in the dynamical structure of the suspension and also encode the viscoelastic properties of the medium.

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“…Thus, we expect that the results presented in this paper will contribute to a better understanding and potential applications of efficient work extraction and heat dissipation in other types of mesoscopic engines operating in complex fluids. Further steps of our work aim at addressing long-term memory effects during stochastic thermodynamic cycles with finite period, as those described by stretched exponentials [75] and power law kernels and fractional Brownian noise [76][77][78][79], which describe the mechanical response of diverse soft matter systems such as glasses and biological materials [80,81]. One further aspect that could be investigated in the future is the effect of temporal changes in the fluid parameters, as it is well-known that the rheological properties of viscoelastic fluids are dependent on their temperature, which under a thermodynamic cycle would become time-dependent.…”

Section: Summary and Final Remarksmentioning

confidence: 99%

Work Extraction and Performance of Colloidal Heat Engines in Viscoelastic Baths

Gomez-Solano

2021

Front. Phys.

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A colloidal particle embedded in a fluid can be used as a microscopic heat engine by means of a sequence of cyclic transformations imposed by an optical trap. We investigate a model for the operation of such kind of Brownian engines when the surrounding medium is viscoelastic, which endows the particle dynamics with memory friction. We analyze the effect of the relaxation time of the fluid on the performance of the colloidal engine under finite-time Stirling cycles. We find that, due to the frequency-dependence of the friction in viscoelastic fluids, the mean power delivered by the engine and its efficiency can be highly enhanced as compared to those in a viscous environment with the same zero-shear viscosity. In addition, with increasing fluid relaxation time the interval of cycle times at which positive power output can be delivered by the engine broadens. Our results reveal the importance of the transient behavior of the friction experienced by a Brownian heat engine in a complex fluid, which cannot be neglected when driven by thermodynamic cycles of finite duration.

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Active particles with fractional rotational Brownian motion

Cited by 16 publications

References 70 publications

Active Brownian motion with memory delay induced by a viscoelastic medium

Active Brownian motion with memory delay induced by a viscoelastic medium

Nonequilibrium dynamical structure of a dilute suspension of active particles in a viscoelastic fluid

Work Extraction and Performance of Colloidal Heat Engines in Viscoelastic Baths

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