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The melting transitions of a colloidal lattice confined to a two-dimensional ($2D$) periodic substrate of square symmetry are studied using Monte Carlo simulations. When the strengths of interparticle and particle-substrate interactions are…

Statistical Mechanics · Physics 2025-10-02 Akhilesh M P , Toby Joseph

Freezing of charged colloids on square or triangular two-dimensional periodic substrates has been recently shown to realize a rich variety of orientational orders. We propose a theoretical framework to analyze the corresponding structures.…

Statistical Mechanics · Physics 2009-11-10 R. Agra , F. van Wijland , E. Trizac

We study colloidal ordering and disordering on two-dimensional periodic substrates where the number of colloids per substrate minima is two or three. The colloids form dimer or trimer states with orientational ordering, referred to as…

Soft Condensed Matter · Physics 2009-11-10 M. Mikulis , C. J. Olson Reichhardt , C. Reichhardt , R. T. Scalettar , G. T. Zimanyi

Two-dimensional colloidal suspensions exposed to periodic external fields exhibit a variety of molecular crystalline phases. There two or more colloids assemble at lattice sites of potential minima to build new structural entities, referred…

Soft Condensed Matter · Physics 2009-11-11 Andreja Sarlah , Erwin Frey , Thomas Franosch

Two-dimensional melting transitions for model colloids in presence of a one-dimensional external periodic potential are investigated using Monte Carlo simulation and Finite Size Scaling techniques. Here we explore a hard disk system with…

Statistical Mechanics · Physics 2009-11-13 Florian Bürzle , Peter Nielaba

The "melting" of self-formed rigid structures made of a small number of interacting classical particles confined in an irregular two-dimensional space is investigated using Monte Carlo simulations. It is shown that the interplay of…

Disordered Systems and Neural Networks · Physics 2013-06-13 Dyuti Bhattacharya , Amit Ghosal

We investigate two-dimensional (2d) melting in the presence of a one-dimensional (1d) periodic potential as, for example, realized in recent experiments on 2d colloids subjected to two interfering laser beams. The topology of the phase…

Soft Condensed Matter · Physics 2009-10-31 Leo Radzihovsky , Erwin Frey , David R. Nelson

We show using numerical simulations that a rich variety of novel colloidal crystalline states are realized on square and triangular two dimensional periodic substrates which can be experimentally created using crossed laser arrays. When…

Soft Condensed Matter · Physics 2016-08-31 C. Reichhardt , C. J. Olson

Micrometre sized colloidal particles can be viewed as large atoms with tailorable size, shape and interactions. These building blocks can assemble into extremely rich structures and phases, in which the thermal motions of particles can be…

Soft Condensed Matter · Physics 2017-11-10 Bo Li , Di Zhou , Yilong Han

The addition of enough non-adsorbing polymer to an otherwise stable colloidal suspension gives rise to a variety of phase behavior and kinetic arrest due to the depletion attraction induced between the colloids by the polymers. We report a…

Soft Condensed Matter · Physics 2024-06-19 Sam E Griffiths , Nick Koumakis , Aidan T Brown , Teun Vissers , Patrick B Warren , Wilson C K Poon

For particles confined to two dimensions, any curvature of the surface affects the structural, kinetic and thermodynamic properties of the system. If the curvature is non-uniform, an even richer range of behaviours can emerge. Using a…

Soft Condensed Matter · Physics 2020-08-10 Jack O. Law , Jacob M. Dean , Mark A. Miller , Halim Kusumaatmaja

We generalize the earlier theory by Fredrickson [J. Rheol. v.38, 1045 (1994)] to study the orientational behaviour of the hexagonal phase of diblock copolymer melt subjected to steady shear flow. We use symmetry arguments to show that the…

Soft Condensed Matter · Physics 2009-10-31 A. N. Morozov , A. V. Zvelindovsky , J. G. E. M. Fraaije

We investigate the behavior of colloidal suspensions with different volume fractions confined between parallel walls under a range of steady shears. We model the particles using molecular dynamics (MD) with full hydrodynamic interactions…

Soft Condensed Matter · Physics 2014-09-18 Frances E. Mackay , Kyle Pastor , Mikko Karttunen , Colin Denniston

We investigate the ordered morphologies occurring in thin-films diblock copolymer. For temperatures above the order-disorder transition and for an arbitrary two-dimensional surface pattern, we use a Ginzburg-Landau expansion of the free…

Soft Condensed Matter · Physics 2007-05-23 Yoav Tsori , David Andelman

We study the driving of colloidal molecular crystals over periodic substrates such as those created with optical traps. The n-merization that occurs in the colloidal molecular crystal states produces a remarkably rich variety of distinct…

Soft Condensed Matter · Physics 2015-05-13 C. Reichhardt , C. J. Olson Reichhardt

We explore phase behaviour of a binary colloidal system under external spatially periodic modulation. We perform Monte Carlo simulation on a binary mixture of big and small repulsive Lennard-Jones particles with diameter ratio 1:2. We…

Soft Condensed Matter · Physics 2023-07-31 Suravi Pal , Jaydeb Chakrabarti , Srabani Chakrabarty nee Sarkar

The nature of freezing and melting transitions for a system of model colloids interacting by a DLVO potential in a spatially periodic external potential is studied using extensive Monte Carlo simulations. Detailed finite size scaling…

Statistical Mechanics · Physics 2009-11-07 W. Strepp , S. Sengupta , P. Nielaba

Using exact enumeration methods and Monte Carlo simulations we study the phase diagram relative to the conformational transitions of a two dimensional diblock copolymer. The polymer is made of two homogeneous strands of monomers of…

Statistical Mechanics · Physics 2009-10-31 Marco Baiesi , Enrico Carlon , Enzo Orlandini , Attilio L. Stella

Two dimensional (2D) classical system of dipole particles confined by a quadratic potential is studied. For clusters of N < 81 particles ground state configurations and appropriate eigenfrequencies and eigenvectors for the normal modes are…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. I. Belousov , Yu. E. Lozovik

We study the phase behaviour of a two-dimensionally confined hard sphere colloidal system in the presence of a periodic light field of two interfering laser beams using Monte Carlo simulations. For a given packing fraction of the particles,…

Condensed Matter · Physics 2007-05-23 Pinaki Chaudhuri , Ajay K. Sood , H. R. Krishnamurthy
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