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Over the last half century the liquid-gas phase transition and the magnetization phase transition have come to be well understood. After an order parameter, $r$, is defined, it can be derived how $r=0$ for $T>T_c$ and how $r \propto (T_c -…

Statistical Mechanics · Physics 2020-03-17 Steven Yuvan , Martin Bier

"Conventional" scenario of metastable melting in ordinary substances in the limit of zero temperature assumes that the melting curve reaches the matter zero isotherm ("cold curve"). The same is true for standard variant of one-component…

Plasma Physics · Physics 2007-05-23 Igor L. Iosilevski , Alexander Yu. Chigvintsev

The temperature phase transition in the $N$-component scalar field theory with spontaneous symmetry breaking is investigated using the method combining the second Legendre transform and with the consideration of gap equations in the extrema…

High Energy Physics - Theory · Physics 2017-08-23 M. Bordag , V. Skalozub

First-order phase transitions (PTs) with more than one globally conserved charge, so-called noncongruent PTs, have characteristic differences compared to congruent PTs (e.g., dimensionality of phase diagrams and location of critical points…

Nuclear Theory · Physics 2015-12-23 Matthias Hempel , Veronica Dexheimer , Stefan Schramm , Igor Iosilevskiy

We present analytic fits of classical one--component plasma (OCP) internal energy over a wide range of coupling parameter $0.01\le\Gamma\le 170$ using Monte--Carlo data in the thermodynamic limit. We extend the dataset obtained in [Demyanov…

Plasma Physics · Physics 2025-09-03 G. S. Demyanov , P. R. Levashov

The phase-field-crystal model for liquid crystals is solved numerically in two spatial dimensions. This model is formulated with three position-dependent order parameters, namely the reduced translational density, the local nematic order…

Soft Condensed Matter · Physics 2014-01-28 Cristian Vasile Achim , Raphael Wittkowski , Hartmut Löwen

We investigate the phase diagrams of two-dimensional lattice dipole systems with variable geometry. For bipartite square and triangular lattices with tunable vertical sublattice separation, we find rich phase diagrams featuring a sequence…

Quantum Gases · Physics 2012-02-28 Y. Sherkunov , Vadim V. Cheianov , Vladimir Fal'ko

A simplified Ginzburg-Landau theory is presented to study generally a coupling of a first-order phase transition (FOPT) to a second-order phase transition (SOPT). We show analytically that, due to the coupling between the two phase…

Condensed Matter · Physics 2007-05-23 Fan Zhong

A modified shoving model is applied to estimate the location of the glass transition in a one-component plasma. The estimated value of the coupling parameter $\Gamma\simeq 570$ at the glass transition is compared with other predictions…

Statistical Mechanics · Physics 2024-05-15 Sergey Khrapak

Dusty plasmas consists of an ionized gas containing small (usually negatively charged) particles. Dusty plasmas are of interest in both astrophysics and space physics as well as in research in plasma processing and nanofabrication. In this…

Atomic and Molecular Clusters · Physics 2009-11-11 K. Qiao , T. W. Hyde

Nuclear level density at low excitation energies is proposed as an indicator of the first order phase transitions in nuclei. The new signature, a maximum value of the level density at the critical point, appears to be sensitive to the…

Nuclear Theory · Physics 2018-08-03 D. Bucurescu , N. V. Zamfir

We consider a one-dimensional classical Coulomb gas of $N$ like-charges in a harmonic potential -- also known as the one-dimensional one-component plasma (1dOCP). We compute analytically the probability distribution of the position…

Statistical Mechanics · Physics 2017-08-16 Abhishek Dhar , Anupam Kundu , Satya N. Majumdar , Sanjib Sabhapandit , Gregory Schehr

The phase diagram of prolate and oblate particles in the restricted orientations approximation (Zwanzig model) is calculated. Transitions to different inhomogeneous phases (smectic, columnar, oriented, or plastic solid) are studied through…

Soft Condensed Matter · Physics 2009-11-10 Yuri Martinez-Raton

We report a numerical simulation of the phase diagram of a simple model for membrane proteins constrained to move in a plane. In analogy with the corresponding three dimensional models, the liquid-gas transition becomes metastable as the…

Soft Condensed Matter · Physics 2009-10-31 Massimo G. Noro , Daan Frenkel

Liquid crystals in two dimensions do not support long-ranged nematic order, but a quasi-nematic phase where the orientational correlations decay algebraically is possible. The transition from the isotropic to the quasi-nematic phase can be…

Statistical Mechanics · Physics 2014-12-30 Richard L. C. Vink

Systems of particles in a confining potential exhibit a spatially dependent density which fundamentally alters the nature of phase transitions that occur. A specific instance of this situation, which is being extensively explored currently,…

Statistical Mechanics · Physics 2013-05-29 S. M. Pittman , G. G. Batrouni , R. T. Scalettar

The relation between thermodynamic phase transitions in classical systems and topology changes in their configuration space is discussed for a one-dimensional, analytically tractable solid-on-solid model. The topology of a certain family of…

Statistical Mechanics · Physics 2007-05-23 Michael Kastner

We introduce a family of two-dimensional lattice models of quasicrystals, using a range of square hard cores together with a soft interaction based on an aperiodic tiling set. Along a low temperature isotherm we find, by Monte Carlo…

Statistical Mechanics · Physics 2015-05-27 David Aristoff , Charles Radin

The simplest model for non-congruent phase transition of gas-liquid type was developed in frames of modified model with no associations of a binary ionic mixture (BIM) on a homogeneous compressible ideal background (or non-ideal) electron…

Plasma Physics · Physics 2015-11-09 Nikita Stroev , Igor Iosilevskiy

The global phase behavior of the lattice restricted primitive model with nearest neighbor exclusion has been studied by grand canonical Monte Carlo simulations. The phase diagram is dominated by a fluid (or charge-disordered solid) to…

Soft Condensed Matter · Physics 2009-11-11 Alexandre Diehl , Athanassios Z. Panagiotopoulos