Melting transition in a quasi-two-dimensional colloid suspension: Influence of the colloid-colloid interaction

Karnchanaphanurach, Pallop; Lin, Binhua; Rice, Stuart A.

doi:10.1103/physreve.61.4036

Cited by 52 publications

(48 citation statements)

References 19 publications

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“…On the other hand, in very popular experimental systems of colloidal particles confined between two glass plates [11] the melting transition consistent with the KTHNY scenario was found [12][13][14]. At the same time, a first order liquid-solid [15] and even a first-order liquid-hexatic and a first-order hexatic-solid phase transitions [16] are also possible. One can conclude from these results that the melting mechanism is not universal and depends on the interparticle interactions.…”

Section: Introductionmentioning

confidence: 64%

Random pinning changes the melting scenario of a two-dimensional core-softened potential system

et al. 2015

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In experiments the two-dimensional systems are realized mainly on solid substrates which introduce quenched disorder due to some inherent defects. The defects of substrates influence the melting scenario of the systems and have to be taken into account in the interpretation of the experimental results. We present the results of the molecular dynamics simulations of the two dimensional system with the core-softened potential in which a small fraction of the particles is pinned, inducing quenched disorder.The potentials of this type are widely used for the qualitative description of the systems with the water-like anomalies. In our previous publications it was shown that the system demonstrates an anomalous melting scenario: at low densities the system melts through two continuous transition in accordance with the Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) theory with the intermediate hexatic phase, while at high densities the conventional first order melting transition takes place. We find that the well-known disorder-induced widening of the hexatic phase occurs at low densities, while at high density part of the phase diagram random pinning transforms the first-order melting into two transitions: the continuous KTHNY-like solid-hexatic transition and first-order hexatic-isotropic liquid transition. Despite almost forty years of investigations, the controversy about the microscopic nature of melting in two dimensions (2D) still lasts. In a crystal in contrast to an isotropic liquid two symmetries are broken: translational and rotational. These two symmetries are not independent, since a rotation of one part of an ideal crystal with respect to another part disrupts not only the orientational order but also the translational order. However, it is possible to imagine the state of matter with orientational order, but without the translational one. As it was shown by Mermin [1] in two dimensions the long-range translational order can not exist because of the thermal fluctuations and transforms to the quasi-long-range one. On the other hand, the real long range orientational order does exist in this case.These ideas were used in the widely accepted KTHNY theory [2][3][4][5] where it was proposed that, in contrast to the 3D case where melting is the first-order transition, the 2D melting can occur through two continuous transitions. In the course of the first transition the bound dislocation pairs dissociate at some temperature T m transforming the quasi-long range translational order into the short-range one, and long-range orientational order into the quasi-long range order. At this transition the decay of the translational correlation function will change from algebraic to exponential, and the orientational correlation function will obey the algebraic decrease. The new intermediate phase with the quasi-long range orientational order is called the hexatic phase. After consequent dissociation of the disclination pairs at some temperature T i the hexatic phase transforms into the isotropic liquid with the exponen...

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Section: Introductionmentioning

confidence: 64%

Random pinning changes the melting scenario of a two-dimensional core-softened potential system

et al. 2015

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“…One technique to produce a 2D colloidal system is to confine colloids in thin cells to prevent motion in the third dimension [15,16,[31][32][33][34]. A second possibility is studying particles at an air-water interface; surface tension prevents out of plane motion [35*,36].…”

Section: Phase Transitions In Two Dimensionsmentioning

confidence: 99%

Video microscopy of colloidal suspensions and colloidal crystals

Habdas

Weeks

2002

Current Opinion in Colloid & Interface Science

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Colloidal suspensions are simple model systems for the study of phase transitions. Video microscopy is capable of directly imaging the structure and dynamics of colloidal suspensions in different phases. Recent results related to crystallization, glasses, and 2D systems complement and extend previous theoretical and experimental studies. Moreover, new techniques allow the details of interactions between individual colloidal particles to be carefully measured.Understanding these details will be crucial for designing novel colloidal phases and new materials, and for manipulating colloidal suspensions for industrial uses.

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“…Even in a single layer, we find a possible hexatic phase only for very strong confinement, which can explain some controversy in experiments regarding the observation of a hexatic phase. 40,41 The article is structured as follows. In Sec.…”

Section: Introductionmentioning

confidence: 99%

How close to two dimensions does a Lennard-Jones system need to be to produce a hexatic phase?

Gribova

Arnold

Schilling

et al. 2011

The Journal of Chemical Physics

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We report on a computer simulation study of a Lennard-Jones liquid confined in a narrow slit pore with tunable attractive walls. In order to investigate how freezing in this system occurs, we perform an analysis using different order parameters. Although some of the parameters indicate that the system goes through a hexatic phase, other parameters do not. This shows that to be certain whether a system of a finite particle number has a hexatic phase, one needs to study not only a large system, but also several order parameters to check all necessary properties. We find that the Binder cumulant is the most reliable one to prove the existence of a hexatic phase. We observe an intermediate hexatic phase only in a monolayer of particles confined such that the fluctuations in the positions perpendicular to the walls are less than 0.15 particle diameters, i.e., if the system is practically perfectly 2D.

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Melting transition in a quasi-two-dimensional colloid suspension: Influence of the colloid-colloid interaction

Cited by 52 publications

References 19 publications

Random pinning changes the melting scenario of a two-dimensional core-softened potential system

Random pinning changes the melting scenario of a two-dimensional core-softened potential system

Video microscopy of colloidal suspensions and colloidal crystals

How close to two dimensions does a Lennard-Jones system need to be to produce a hexatic phase?

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