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Related papers: Pattern formation during melting of lamellar eutec…

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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 present a theory of the melting of elemental solids as a dislocation-mediated phase transition. We model dislocations near melt as non-interacting closed strings on a lattice. In this framework we derive simple expressions for the…

Condensed Matter · Physics 2009-10-31 Leonid Burakovsky , Dean L. Preston , Richard R. Silbar

We investigate - with Monte Carlo computer simulations - the phase behaviour of dimeric colloidal molecules on periodic substrates with square symmetry. The molecules are formed in a two-dimensional suspension of like charged colloids…

Soft Condensed Matter · Physics 2015-06-04 Samir El Shawish , Emmanuel Trizac , Jure Dobnikar

Dedicated experiments on melting of 2D plasma crystals were carried out. The melting was always accompanied by spontaneous growth of the particle kinetic energy, suggesting a universal plasma-driven mechanism underlying the process. By…

Plasma Physics · Physics 2015-05-18 L. Couëdel , V. Nosenko , A. V. Ivlev , S. K. Zhdanov , H. M. Thomas , G. E. Morfill

Using a novel differential magneto-optical imaging technique we investigate the phenomenon of vortex lattice melting in crystals of Bi_2Sr_2CaCu_2O_8 (BSCCO). The images of melting reveal complex patterns in the formation and evolution of…

Superconductivity · Physics 2009-11-07 A. Soibel , S. S. Banerjee , Y. Myasoedov , M. L. Rappaport , E. Zeldov , S. Ooi , T. Tamegai

Using molecular dynamics simulation, we study structural and dynamical heterogeneities at melting in two-dimensional one-component systems with 36000 particles. Between crystal and liquid we find intermediate hexatic states, where the…

Statistical Mechanics · Physics 2010-04-07 Hayato Shiba , Akira Onuki , Takeaki Araki

The thermodynamic model of ultrathin lubricant film melting, confined between two atomically-flat solid surfaces, is built using the Landau phase transition approach. Non-equilibrium entropy is introduced describing the part of thermal…

Statistical Mechanics · Physics 2015-03-13 L. S. Metlov , A. V. Khomenko , I. A. Lyashenko

Elastic interactions arising from a difference of lattice spacing between two coherent phases can have a strong influence on the phase separation (coarsening) of alloys. If the elastic moduli are different in the two phases, the elastic…

Mathematical Physics · Physics 2015-06-26 P. Fratzl , O. Penrose , J. L. Lebowitz

Directional solidification of lamellar eutectic structures submitted to uniaxial stress is investigated. In the spirit of an approximation first used by Jackson and Hunt, we calculate the stress tensor for a two-dimensional crystal with…

Statistical Mechanics · Physics 2009-10-31 Jens Kappey , Klaus Kassner , Chaouqi Misbah

In the present paper, using a molecular dynamics simulation, we study a nature of melting of a two-dimensional ($2D$) system of classical particles interacting through a purely repulsive isotropic core-softened potential which is used for…

Soft Condensed Matter · Physics 2015-06-22 D. E. Dudalov , Yu. D. Fomin , E. N. Tsiok , V. N. Ryzhov

The mechanical properties of thermally excited two-dimensional crystalline membranes can depend dramatically on their geometry and topology. A particularly relevant example is the effect on the crumpling transition of holes in the membrane.…

Soft Condensed Matter · Physics 2019-10-16 D. Yllanes , D. R. Nelson , M. J. Bowick

We have studied, using molecular dynamics simulations, the pressure-induced melting in a monolayer of soft repulsive spherocylinders whose centers of mass are constrained to move on the surface of a sphere. We show that the orientational…

Soft Condensed Matter · Physics 2025-03-13 Jaydeep Mandal , Chandan Dasgupta , Prabal K. Maiti

Although the pattern formation on polymer gels has been considered as a result of the mechanical instability due to the volume phase transition, we found a macroscopic surface pattern formation not caused by the mechanical instability. It…

Pattern Formation and Solitons · Physics 2007-05-23 Hiroaki Katsuragi

We study melting in a two-dimensional system of classical particles with Gaussian-core interactions in disordered environments. The pure system validates the conventional two-step melting with a hexatic phase intervening between the solid…

Soft Condensed Matter · Physics 2023-08-01 Prashanti Jami , Pinaki Chaudhuri , Chandan Dasgupta , Amit Ghosal

We develop a phase-field model of eutectic growth that uses three phase fields, admits strictly binary interfaces as stable solutions, and has a smooth free energy functional. We use this model to simulate oscillatory limit cycles in…

Materials Science · Physics 2007-05-23 R. Folch , M. Plapp

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

Well into the deleptonization phase of a core collapse supernova, a first-order phase transition to matter with macroscopic strangeness content is assumed to occur and lead to a structured lattice defined by negatively charged strange…

Astrophysics · Physics 2009-11-07 J. J. Zach

We discuss the nature of the slow relaxation processes in glass-forming eutectic melts right after melting. For specific, we focus on the binary metallic melt Al--Y, which in addition to the slow relaxation shows unusual non-monotonic…

Statistical Mechanics · Physics 2020-06-24 Mikhail G. Vasin , Vladimir G. Lebedev

A theoretical model of the formation of an amorphous phase during the quenching of a metallic melt is proposed. It has been shown that the appearance of a significant temperature gradient during the quenching of a metallic melt leads to…

Materials Science · Physics 2025-04-29 A. I. Karasevskii , A. Yu. Naumuk

The dynamic phase diagram of vortex lattices driven in disorder is calculated in two and three dimensions. A modified Lindemann criterion for the fluctuations of the distance of neighboring vortices is used, which unifies previous analytic…

Superconductivity · Physics 2009-10-30 Stefan Scheidl , Valerii M. Vinokur