Single-file dynamics of colloids in circular channels: Time scales, scaling laws and their universality

Villada-Balbuena, Alejandro; Ortiz-Ambriz, Antonio; Castro-Villarreal, Pavel; Tierno, Pietro; Castañeda-Priego, Ramón; Méndez‐Alcaraz, J. M.

doi:10.1103/physrevresearch.3.033246

Cited by 11 publications

(8 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Using the same experiment setup it remains to carry out an analysis using more than two different values of magnetizations to establish a quantitative law between the persistence length and the magnetization of the ball. Now that we have proved that the magnetized metallic balls behave as active particles, one can address the single-file diffusion problem of studying the interacting active particle system confined in quasi 1D circular channels, this analysis can be extended the situation already known in colloidal particle systems [45]. Changing the experiment set up by replacing the circular channel with a concave surface plate can address the problem of a single active particle moving on a curved surface [34,46].…”

Section: Discussionmentioning

confidence: 95%

“…The specific behaviour of the MSED, monotonic or oscillaring, give us a signature of a specific active particle that has an intrinsic value of persistence length c . In both, diffusive and active states the MSED reachs the limit value of ∆R 2 (t) = 2R 2 ; this value is known as the geometric limit when there is a uniform probability density in each point of the circle [44,45].…”

Section: Mean-value and Mean-squared Value Of Euclidean Displacementmentioning

confidence: 99%

See 1 more Smart Citation

Magnetized granular particles running and tumbling on $S^{1}$

Ledesma-Motolinia¹,

Carrillo-Estrada²,

Escobar³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

It has been shown that a nonvibrated magnetic granular system, when it is feeded by means an altenating magnetic field, behaves with most of the distinctive physical features of active matter systems. In this work we focus our attention on the simplest granular system composed by a single magnetized spherical particle allocated in a quasi one-dimensional circular channel that receives energy from a magnetic field reservoir and transduces it into a running and tumbling motion. The theoretical analysis based on the run and tumble model on a circle of radius R forecasts the existence of a dynamical phase transition between an erratic motion (disordered phase) when the characteristic persistence length of the run and tumble motion, c < R/2, to a persistent motion (ordered phase) when c > R/2. It is found that the limiting behaviours of these phases correspond to a Brownian motion on the circle and a simple uniform circular motion, respectively. It is qualitatively shown that the lower magnetization of a particle, the larger persistence lenght is. It is so at least within the experimental limit of validity of our experiments. Our results show a very good agreement between theory and experiment.

show abstract

Section: Discussionmentioning

confidence: 95%

Section: Mean-value and Mean-squared Value Of Euclidean Displacementmentioning

confidence: 99%

Magnetized granular particles running and tumbling on $S^{1}$

Ledesma-Motolinia¹,

Carrillo-Estrada²,

Escobar³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…We present here a simple colloidal system whose interaction parameters can be chosen in such way that the theoretical model introduced in reference [16] can be used to describe the 2SG protocol proposed in reference [8]. We believe that the described 2SG protocol for the self-assembly of colloidal structures can be explored by performing experiments using colloidal particles confined to microgrooved channels, on which the deposition can be controlled by phoretic flows [48] or by optical tweezers [49]. The latter can be also employed to manipulate the initial number of islands of the second step by configuring seed structures [50].…”

Section: Discussionmentioning

confidence: 99%

Colloidal model of two-step protocol for epitaxial growth in one dimension

Camargo¹,

González²

2022

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

We explore the application of a two-step growth protocol to a one-dimensional colloidal model. The evolution of the system is described in terms of the time-dependence of both monomer and island densities, $N_1$ and $N$, while its structure is characterized by using distributions of the gap length, the capture zone, the inter-island distance, and the island length. Analytical results obtained from rate equations are compared with these from molecular dynamics simulations. Since the two-step growth protocol deals with nucleation and aggregation processes in two completely separated time regimes, it makes possible to gain better understanding and control on the island formation mechanism than the standard one-step protocol. The predicted features and advantages of the two-step process could be experimentally tested using deposition of colloidal spheres on pattern substrates.

show abstract

“…Since the pioneering work of Einstein [1], Brownian motion has become the paradigm for the description and understanding of a large variety of diffusion processes that are present in numerous physical, biological, and chemical systems. In recent years, the dynamics of macromolecules and nanoparticles on surfaces or curved spaces has been the subject of intensive investigations, especially because particle diffusion shows a richer dynamical behavior at different time scales [2,3] than its counterpart in open and flat geometries. In particular, diffusion plays a key role in the dynamics of molecular motors moving along heterogeneous substrates [4], in the transport of biomacromolecules in the cell due to crowding [5,6], and in the lateral diffusion of proteins on fluctuating membranes [7,8].…”

Section: Introductionmentioning

confidence: 99%

Covariant description of the colloidal dynamics on curved manifolds

Castro-Villarreal,

Solano-Cabrera,

Castañeda-Priego

2023

Front. Phys.

Self Cite

View full text Add to dashboard Cite

Brownian motion is a universal characteristic of colloidal particles embedded in a host medium, and it is the fingerprint of molecular transport or diffusion, a generic feature of relevance not only in physics but also in several branches of science and engineering. Since its discovery, Brownian motion, also known as colloidal dynamics, has been important in elucidating the connection between the molecular details of the diffusing macromolecule and the macroscopic information on the host medium. However, colloidal dynamics is far from being completely understood. For instance, the diffusion of non-spherical colloids and the effects of the underlying geometry of the host medium on the dynamics of either passive or active particles are a few representative cases that are part of the current challenges in soft matter physics. In this contribution, we take a step forward to introduce a covariant description of the colloidal dynamics in curved spaces. Without the loss of generality, we consider the case where hydrodynamic interactions are neglected. This formalism will allow us to understand several phenomena, for instance, the curvature effects on the kinetics during spinodal decomposition and the thermodynamic properties of colloidal dispersion, to mention a few examples. This theoretical framework will also serve as the starting point to highlight the role of geometry on colloidal dynamics, an aspect that is of paramount importance to understanding more complex transport phenomena, such as the diffusive mechanisms of proteins embedded in cell membranes.

show abstract

Single-file dynamics of colloids in circular channels: Time scales, scaling laws and their universality

Cited by 11 publications

References 25 publications

Magnetized granular particles running and tumbling on $S^{1}$

Magnetized granular particles running and tumbling on $S^{1}$

Colloidal model of two-step protocol for epitaxial growth in one dimension

Covariant description of the colloidal dynamics on curved manifolds

Contact Info

Product

Resources

About