Clustering of topological defects in two-dimensional melting of active and passive disks

Digregorio, Pasquale; Levis, Demian; Cugliandolo, Leticia F.; Gonnella, Giuseppe; Pagonabarraga, Ignacio

doi:10.48550/arxiv.1911.06366

Cited by 15 publications

(25 citation statements)

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“…Recent investigations [2,3,6,[48][49][50][51][52][53] have shown numerical evidence that supports the existence of the intermediate hexatic phase in this system from properties of the translational correlation function, the bond-orientational correlation function, and different types of topological defects such as dislocations and disclinations. However, potential limitations of the existing evidence were also reported, for instance, the exponent of the asymptotic power law decay of the correlation functions can be difficult to extract due to the limited system size employed in the study [7,12], and the relevant types of topological defects that drive the phase transition associated with the intermediate hexatic phase is still under debate [26][27][28]. In this regard, a type of approaches that directly analyzes the system's spatial configurations with as few as possible build-in empirical assumptions is highly desirable to provide new physical insights into the questions concerning the existence of the intermediate hexatic phase and the fundamental nature of its associated phase transitions in this system.…”

Section: Model For Biological Tissuesmentioning

confidence: 99%

“…More specifically, it is suggested that the solid-hexatic phase transition is associated with the disappearance of the quasi-long range translational order and the increasing number of dislocations [2], and that the hexatic-liquid phase transition is associated with the disappearance of the long range bond-orientational order and the dissociation of the dislocation into disclinations [2]. However, a firm confirmation within this approach is still difficult, partially due to the possibly enormous value of the hexatic correlation length [12] and also the fact that other complicated defects, such as vacancies and grain boundaries, might appear near the phase transitions [26][27][28].…”

Section: Introductionmentioning

confidence: 99%

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Scanning-probe and information-concealing machine learning intermediate hexatic phase and critical scaling of solid-hexatic phase transition in deformable particles

Guo,

Ai,

2021

Preprint

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We investigate the two-dimensional melting of biological tissues that are modeled by deformable polymeric particles with multi-body interactions described by the Voronoi model. We identify the existence of the intermediate hexatic phase in this system, and the critical scaling of the associated solid-hexatic phase transition with the critical exponent ν ≈ 0.65 for the divergence of the correlation length. Moreover, we clarify the discontinuous nature of the hexatic-liquid phase transition in this system. These findings are achieved by directly analyzing system's spatial configurations with two generic machine learning approaches developed in this work, dubbed "scanning-probe" via which the possible existence of intermediate phases can be efficiently detected, and "information-concealing" via which the critical scaling of the correlation length in the vicinity of generic continuous phase transition can be extracted. Our work provides new physical insights into the fundamental nature of the two-dimensional melting of biological tissues, and establishes a new type of generic toolbox to investigate fundamental properties of phase transitions in various complex systems.

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Section: Model For Biological Tissuesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Scanning-probe and information-concealing machine learning intermediate hexatic phase and critical scaling of solid-hexatic phase transition in deformable particles

Guo,

Ai,

2021

Preprint

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“…1. One observes a large aggregate of particles coexisting with a gaseous phase: due to activity, small clusters roam the gaseous phase, while the dense phase is filled with holes [53] and other defects [54].…”

Section: The Modelmentioning

confidence: 99%

Work fluctuations of self-propelled particles in the phase separated state

Chiarantoni,

Cagnetta,

Corberi

et al. 2020

Preprint

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We study the large deviations of the distribution P (Wτ ) of the work associated with the propulsion of individual active brownian particles in a time interval τ , in the region of the phase diagram where macroscopic phase separation takes place. P (Wτ ) is characterised by two peaks, associated to particles in the gaseous and in the clusterised phases, and two separate non-convex branches. Accordingly, the generating function of Wτ 's cumulants displays a double singularity. We discuss the origin of such non-convex branches in terms of the peculiar dynamics of the system phases, and the relation between the observation time τ and the typical persistence times of the particles in the two phases.

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“…One of the most impressive progress is the motility induced phase transition (MIPS) [10,11,12], which helps us understand the phase behavior of the ABPs, although the universality class at the critical point is still under debate [13,14]. Besides, many researchers study the dense phase of the ABPs, with the glass transition and hexatic phase [15,16,17,18,19,20]. However, in real experiments, it is hard to squeeze the active particle into very dense phase, the mixture of the active and passive particles brings a possible solution [21,22,23].…”

Section: Introductionmentioning

confidence: 99%

Active control of transport through nanopores

Lian,

Zhong

2021

Preprint

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Passive particle transport through narrow channels is well studied, while for an active particle system, it is not well understood. Here, we demonstrate the active control of the transport through a nanopore via mean-field analysis and molecular dynamics simulations. We prove that the active force enhances the transport efficiency by a factor of √ D eff , whereis the effective diffusion constant, D t is the translational diffusion coefficient, and P e is the Péclet number that determines the strength of the active force. For the number of particles inside the channel, it experiences subdiffusion at short times and then turns to normal at longer times. Finally, we extend our research for a variety of shapes of the channel surface. More particles are trapped in the channel if the roughness of the channel surface is increased, resulting in fewer particles are transported from one side of the channel to the other.

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Clustering of topological defects in two-dimensional melting of active and passive disks

Cited by 15 publications

References 0 publications

Scanning-probe and information-concealing machine learning intermediate hexatic phase and critical scaling of solid-hexatic phase transition in deformable particles

Scanning-probe and information-concealing machine learning intermediate hexatic phase and critical scaling of solid-hexatic phase transition in deformable particles

Work fluctuations of self-propelled particles in the phase separated state

Active control of transport through nanopores

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