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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

Topological defects such as dislocations and disclinations are predicted to determine the twodimensional (2-D) melting transition. In 2-D superconducting vortex lattices, macroscopic measurements evidence melting close to the transition to…

Using density-functional theory, we have analyzed the phase behavior of binary mixtures of hard rods of different lengths and diameters. Previous studies have shown a strong tendency of smectic phases of these mixtures to segregate and, in…

Soft Condensed Matter · Physics 2009-11-11 Yuri Martinez-Raton , Enrique Velasco , Luis Mederos

We investigate through numerical simulations how a two-dimensional crystal yields and flows under an applied shear. We focus over a range that allows us to both address the response in the limit of an infinitesimal shear rate and describe…

Soft Condensed Matter · Physics 2023-10-10 Federico Ghimenti , Misaki Ozawa , Giulio Biroli , Gilles Tarjus

Comprehensive x-ray scattering studies have characterized the smectic ordering of octylcyanobiphenyl (8CB) confined in the hydrogen-bonded silica gels formed by aerosil dispersions. For all densities of aerosil and all measurement…

Soft Condensed Matter · Physics 2009-11-07 R. L. Leheny , S. Park , R. J. Birgeneau , J. -L. Gallani , C. W. Garland , G. S. Iannacchione

We study phase segregation in a model alloy undergoing both ordering and decomposition, using computer simulations of Kawasaki exchange dynamics on a square lattice. Following a quench into the miscibility gap we observe an early stage in…

Statistical Mechanics · Physics 2009-10-30 V. Gorentsveig , P. Fratzl , J. L. Lebowitz

A phenomenological model is proposed for melting of a vortex lattice, based on screening of the elastic shear modulus by mobile or partially pinned dislocations. A first-order softening line is found and ends at a critical point beyond…

Superconductivity · Physics 2007-05-23 Denis Feinberg

A hexagonal columnar crystal undergoes a shear-melting transition above a critical shear rate or stress. We combine the analysis of the shear-thinning regime below the melting with that of synchrotron X-ray scattering data under shear and…

Soft Condensed Matter · Physics 2007-05-23 L. Ramos , F. Molino

In flat geometries, two dimensional hexatic order has only a minor effect on capillary waves on a liquid substrate and on undulation modes in lipid bilayers. However, extended bond orientational order alters the long wavelength spectrum of…

Soft Condensed Matter · Physics 2009-11-07 Peter Lenz , David R. Nelson

We resolve the old riddle related to the critical behavior of the heat capacity near the smectic A -- hexatic second order phase transition. Experiment suggests a "large" positive specific heat critical exponent inconsistent with the…

Soft Condensed Matter · Physics 2016-03-18 E. I. Kats , V. V. Lebedev , A. R. Muratov

We perform extensive simulations of $10^4$ Lennard-Jones particles to study the effect of particle size dispersity on the thermodynamic stability of two-dimensional solids. We find a novel phase diagram in the dispersity-density parameter…

Materials Science · Physics 2009-10-30 M. Reza Sadr-Lahijany , Purusattam Ray , H. Eugene Stanley

Melting and freezing transitions in two dimensional systems are known to show highly unusual characteristics. Most of the earlier studies considered atomic systems; the melting behavior in two dimensional molecular solids is still largely…

Materials Science · Physics 2013-02-04 Rakesh S. Singh , Mantu Santra , Biman Bagchi

Four-dimensional state space geometry is worked out for the exactly solved one-dimensional spin-3/2 lattice with a Blume-Emery-Griffiths (BEG) Hamiltonian as well as a more general one with a term containing a non-zero field coupling to the…

Statistical Mechanics · Physics 2023-06-13 Riekshika Sanwari , Soumen Khatua , Anurag Sahay

A spacetime crystal is a phase of matter that spontaneously develops periodic order in both space and time. Spacetime crystals have been experimentally observed in microscopic quantum many-body systems and, very recently, in a mesoscopic…

Soft Condensed Matter · Physics 2026-03-11 Guoqing Liu , Jimin Bai , Matteo Baggioli , Jie Zhang

X-ray diffraction studies of the bond-orientational order in the hexatic-B phase of 75OBC and 3(10)OBC compounds are presented. The temperature evolution of an angular profile of a single diffraction peak is analyzed. Close to the…

Soft Condensed Matter · Physics 2016-10-07 I. A. Zaluzhnyy , R. P. Kurta , A. P. Menushenkov , B. I. Ostrovskii , I. A. Vartanyants

Motivated by the structure of networks of cross-linked cytoskeletal biopolymers, we study the orientationally ordered phases in two-dimensional networks of randomly cross-linked semiflexible polymers. We consider permanent cross-links which…

Soft Condensed Matter · Physics 2011-03-08 Martin Kiemes , Panayotis Benetatos , Annette Zippelius

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…

Soft Condensed Matter · Physics 2015-05-27 N. Gribova , A. Arnold , T. Schilling , C. Holm

We find that both continuous and discontinuous hexatic-liquid transitions can happen in the melting of two-dimensional solids of soft-core disks. For three typical model systems, Hertzian, harmonic, and Gaussian-core models, we observe the…

Soft Condensed Matter · Physics 2016-08-19 Mengjie Zu , Jun Liu , Hua Tong , Ning Xu

We report Monte Carlo results for the two-dimensional hard disk system. Simulations were performed in the NVT ensemble with up to 65536 disks, using a new updating scheme. We analyze the bond orientational order parameter and correlation…

Statistical Mechanics · Physics 2009-10-31 Andreas Jaster

We study the zero-temperature phase diagram of two-dimensional helium-4 using neural quantum states. Our variational description allows us to address liquid and solid phases using the same functional form as well as exploring possible…

Statistical Mechanics · Physics 2025-06-19 David Linteau , Gabriel Pescia , Jannes Nys , Giuseppe Carleo , Markus Holzmann
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