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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 employ extensive NPT molecular dynamics simulations to explore the thermal transitions of two-dimensional colloidal crystals interacting via a core-softened potential with competing length scales. The system stabilizes three distinct…

Soft Condensed Matter · Physics 2025-08-20 Alexandre Vargas , Thiago Puccinelli , José Rafael Bordin

Recent analyses of wetting in the semi-infinite two dimensional Ising model, extended to include both a surface coupling enhancement and a surface field, have shown that the wetting transition may be effectively first-order and that…

Statistical Mechanics · Physics 2016-07-20 Andrew O. Parry , Alexandr Malijevský

We introduce "bond-counting" potentials, which provide an elementary description of covalent bonding. These simplistic potentials are intended for studies of the mechanisms behind a variety of phase transitions in elemental melts, including…

Chemical Physics · Physics 2021-04-09 Shlomi Matityahu , Nathan Argaman

Motivated by recent experimental data on thin film superconductors and oxide interfaces we propose a random-resistor network apt to describe the occurrence of a metal-superconductor transition in a two-dimensional electron system with…

Superconductivity · Physics 2012-05-03 D. Bucheli , S. Caprara , C. Castellani , M. Grilli

We consider an off-lattice liquid crystal pair potential in strictly two dimensions. The potential is purely repulsive and short-ranged. Nevertheless, by means of a single parameter in the potential, the system is shown to undergo a…

Soft Condensed Matter · Physics 2012-07-17 H. H. Wensink , R. L. C. Vink

Quantum simulations of vestigial orders in multi-orbital superfluids have been attracting continuous research interests in both cold atoms and condensed matter systems, as it provides valuable insights into the high-temperature…

Quantum Gases · Physics 2025-07-11 Zhongcheng Yu , Chengyang Wu , Chi Zhang , Xiaopeng Li , Xiaoji Zhou

The comprehensive computer simulation study of the phase diagram of the repulsive step potential system in three dimensions is represented. We show that the system with a simple purely repulsive isotropic potential demonstrates a number of…

Soft Condensed Matter · Physics 2007-05-23 Yu. D. Fomin , Daan Frenkel , N. V. Gribova , V. N. Ryzhov , S. M. Stishov

We have devised an isotropic interaction potential that gives rise to negative thermal expansion (NTE) behavior in equilibrium many-particle systems in both two and three dimensions over a wide temperature and pressure range (including zero…

Materials Science · Physics 2008-07-24 Mikael C. Rechtsman , Frank H. Stillinger , Salvatore Torquato

Previous experiments and numerical simulations have revealed that a limited number of two- and three-dimensional particle systems contract in volume upon heating isobarically. This anomalous phenomenon is known as negative thermal expansion…

Soft Condensed Matter · Physics 2025-07-21 Igor Travěnec , Ladislav Šamaj

We study the two dimensional quantum Heisenberg antiferromagnet on the square lattice with easy-axis exchange anisotropy. By the semiclassical method called pure-quantum self-consistent harmonic approximation we analyse several…

Statistical Mechanics · Physics 2009-10-31 Alessandro Cuccoli , Valerio Tognetti , Tommaso Roscilde , Paola Verrucchi , Ruggero Vaia

Classical atomistic simulations based on interatomic potentials resolve lattice instabilities, defect nucleation, and microstructure evolution with high fidelity, but their accessible system sizes remain far below those required for…

Numerical Analysis · Mathematics 2026-05-26 Aagashram Neelakandan , Karsten Albe , Bernhard Eidel

In contrast to three-dimensional (3D) crystals that melt via a first-order transition, two-dimensional (2D) crystals can exhibit various melting scenarios under different temperatures, pressures, and particle interactions, particularly when…

Materials Science · Physics 2024-10-16 Peng Hua , Yilong Han

We study the nature of melting of a two dimensional (2D) Lennard-Jones solid using large scale Monte Carlo simulation. We use systems of up to 102,400 particles to capture the decay of the correlation functions associated with translational…

Statistical Mechanics · Physics 2013-01-01 Keola Wierschem , Efstratios Manousakis

We show that a system of particles interacting through the exp-6 pair potential, commonly used to describe effective interatomic forces under high compression, exhibits anomalous melting features such as reentrant melting and a rich solid…

Soft Condensed Matter · Physics 2008-12-31 G. Malescio , F. Saija , S. Prestipino

Liquid crystals in two dimensions undergo a first-order isotropic-to-quasi-nematic transition, provided the particle interactions are sufficiently ``sharp and narrow''. This implies phase coexistence between isotropic and quasi-nematic…

Statistical Mechanics · Physics 2009-11-13 R. L. C. Vink

The existence of phase transitions from liquid to gas phases in asymmetric nuclear matter (ANM) is related with the instability regions which are limited by the spinodals. In this work we investigate the instabilities in ANM described…

Nuclear Theory · Physics 2009-11-10 S. S. Avancini , L. Brito , D. P. Menezes , C. Providencia

Two-dimensional crystals of classical particles are very peculiar in that melting may occur in two steps, in a continuous fashion, via an intermediate hexatic fluid phase exhibiting quasi-long-range orientational order. On the other hand,…

Soft Condensed Matter · Physics 2014-11-18 Santi Prestipino , Franz Saija

The phase diagram of two-dimensional systems with continuous symmetry of the vector order parameter containing defects of the "random local anisotropy" type is investigated. In the case of a weakly anisotropic distribution of the easy…

Disordered Systems and Neural Networks · Physics 2020-05-19 A. A. Berzin , A. I. Morosov , A. S. Sigov

We explore the link between the melting scenarios of two-dimensional systems of hard disks and squares through replica-exchange Monte Carlo simulations of hard superdisks. The well-known melting scenarios are observed in the disk and square…

Soft Condensed Matter · Physics 2020-12-04 Péter Gurin , Szabolcs Varga , Gerardo Odriozola