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Related papers: Phase diagram and crystal melting of helium-4 in t…

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The second-layer phase diagrams of $^4$He and $^3$He adsorbed on graphite are investigated. Intrinsically rounded specific-heat anomalies are observed at 1.4 and 0.9 K, respectively, over extended density regions in between the liquid and…

Other Condensed Matter · Physics 2016-11-09 S. Nakamura , K. Matsui , T. Matsui , Hiroshi Fukuyama

Melting in two spatial dimensions, as realized in thin films or at interfaces, represents one of the most fascinating phase transitions in nature, but it remains poorly understood. Even for the fundamental hard-disk model, the melting…

Soft Condensed Matter · Physics 2015-03-13 Etienne P. Bernard , Werner Krauth

We study the zero-temperature quantum phase transition between liquid and hcp solid helium-4. We use the variational method with a simple yet exchange-symmetric and fully explicit wavefunction. It is found that the optimized wavefunction…

Quantum Gases · Physics 2017-04-03 Y. Lutsyshyn , G. E. Astrakharchik , C. Cazorla , J. Boronat

We present diffusion Monte Carlo (DMC) results on a new metastable, superfluid phase above the crystal ground state in two-dimensional 4He at densities > 0.065 1/A^2. The state is anisotropic with hexatic orbital order. This implies that…

Other Condensed Matter · Physics 2009-11-13 V. Apaja , M. Saarela

We report large-scale computer simulations of the hard-disk system at high densities in the region of the melting transition. Our simulations reproduce the equation of state, previously obtained using the event-chain Monte Carlo algorithm,…

We present a Monte Carlo simulation study of the phase behavior of two-dimensional classical particles repelling each other through an isotropic Gaussian potential. As in the analogous three-dimensional case, a reentrant-melting transition…

Soft Condensed Matter · Physics 2011-10-26 S. Prestipino , F. Saija , P. V. Giaquinta

In order to understand the possible sequence of transitions from the disordered columnar phase to the helical phase in hexa(hexylthio)triphenylene (HHTT), we study a three-dimensional planar model with octupolar interactions inscribed on a…

Soft Condensed Matter · Physics 2009-10-31 G. Lamoureux , A. Caillé , D. Sénéchal

We report the phase diagram of two-dimensional hard ellipses as obtained from replica exchange Monte Carlo simulations. The replica exchange is implemented by expanding the isobaric ensemble in pressure. The phase diagram shows four…

Soft Condensed Matter · Physics 2015-06-19 Gustavo Bautista-Carbajal , Gerardo Odriozola

We study a two-dimensional fluid of particles interacting through a spherically-symmetric and marginally soft two-body repulsion. This model can exist in three different crystal phases, one of them with square symmetry and the other two…

Soft Condensed Matter · Physics 2012-09-13 Santi Prestipino , Franz Saija , Paolo V. Giaquinta

We discuss the dependence of the phase diagram of a hypothetical isotope of helium with nuclear mass less than 4 atomic mass units. We argue that with decreasing nucleus mass, the temperature of the superfluid phase transition (about 2.2 K…

Quantum Gases · Physics 2021-01-18 Dam Thanh Son , Mikhail Stephanov , Ho-Ung Yee

Simulations of nematic-isotropic transition of liquid crystals in two dimensions are performed using an O(2) vector model characterised by non linear nearest neighbour spin interaction governed by the fourth Legendre polynomial $P\_4$. The…

Statistical Mechanics · Physics 2007-05-23 Bertrand Berche , Ricardo Paredes

Simulations of nematic-isotropic transition of liquid crystals in two dimensions are performed using an O(2) vector model characterised by non linear nearest neighbour spin interaction governed by the fourth Legendre polynomial $P\_4$. The…

Statistical Mechanics · Physics 2016-08-16 Ana Fariñas-Sanchez , Ricardo Paredes , Bertrand Berche

We present a molecular dynamics simulation study of the phase diagram and melting scenarios of two-dimensional Hertzian spheres with exponent 7/2. We have found multiple re-entrant melting of a single crystal with a triangular lattice in a…

Soft Condensed Matter · Physics 2019-11-15 E. N. Tsiok , E. A. Gaidukm Yu. D. Fomin , V. N. Ryzhov

Solid helium (3He and 4He) in the hcp and fcc phases has been studied by path-integral Monte Carlo. Simulations were carried out in the isothermal-isobaric (NPT) ensemble at pressures up to 52 GPa. This allows one to study the temperature…

Statistical Mechanics · Physics 2015-06-25 Carlos P. Herrero

The thermodynamics of solid (hcp) He-4 is studied theoretically by means of unbiased Monte Carlo simulations at finite temperature, in a wide range of density. This study complements and extends previous theoretical work, mainly by…

Other Condensed Matter · Physics 2023-07-27 Massimo Boninsegni

The phase diagram of two-dimensional continuous particle systems is studied using Event-Chain Monte Carlo. For soft disks with repulsive power-law interactions $\propto r^{-n}$ with $n \gtrsim 6$, the recently established hard-disk melting…

Statistical Mechanics · Physics 2015-03-13 Sebastian C. Kapfer , Werner Krauth

The phase diagram at zero temperature of $^4$He adsorbed on an helium incommensurate triangular solid on top of a single graphene sheet has been obtained using the diffusion Monte Carlo method. We have found that, in accordance with…

Other Condensed Matter · Physics 2012-05-30 M. C. Gordillo , J. Boronat

We study different solid phases of Helium-four, by means of Path Integral Monte Carlo simulations based on a recently developed "worm" algorithm. Our study includes simulations that start off from a high-T gas phase, which is then…

Statistical Mechanics · Physics 2009-11-11 M. Boninsegni , N. Prokof'ev , B. Svistunov

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

Melting in 2D is described by the celebrated Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) theory. The unbinding of two different types of topological defects destroys translational and orientational order at different temperatures. The…

Soft Condensed Matter · Physics 2024-11-12 Robert Löffler , Lukas Siedentop , Peter Keim
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