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We analyze the one-dimensional (1D) and the two-dimensional (2D) repulsive Hubbard models (HM) for densities slightly away from half-filling through the behavior of two central quantities of a system: the uniform charge and spin…

Strongly Correlated Electrons · Physics 2009-11-11 Hermann Freire , Eberth Correa , Alvaro Ferraz

We investigate the asymptotic behavior as $\varepsilon \to 0$ of singularly perturbed phase transition models of order $n \geq 2$, given by \begin{align} G_\varepsilon^{\lambda,n}[u] := \int_I \frac 1\varepsilon W(u)…

Analysis of PDEs · Mathematics 2025-10-17 Denis Brazke , Gianna Götzmann , Hans Knüpfer

A suggested amendment to the temperature dependencies in the thermodynamic potential of the Ginzburg-Sobyanin theory of superfluidity, which makes it possible to obtain critical exponents that are consistent with the general relations of…

Statistical Mechanics · Physics 2023-06-26 Yu. M. Poluektov

We report a simulation of the metal-insulator transition in a model of a doped semiconductor that treats disorder and interactions on an equal footing. The model is analyzed using density functional theory. From a multi-fractal analysis of…

Disordered Systems and Neural Networks · Physics 2014-05-13 Yosuke Harashima , Keith Slevin

We present a Monte-Carlo study of the liquid-vapor transition and the critical behavior of a model of polyelectrolytes with soft gaussian charge distributions introduced recently by Coslovich, Hansen, and Kahl [J. Chem. Phys. \textbf{134},…

Statistical Mechanics · Physics 2014-06-11 J. -M. Caillol , D. Levesque

We present the results of several collisional-radiative models describing optically-thin emissivities of the main lines in neutral helium formed by recombination, for a grid of electron temperatures and densities, typical of H II regions…

Astrophysics of Galaxies · Physics 2022-04-13 G. Del Zanna , P. J. Storey

We demonstrate that the phase transition from columnar-hexagonal liquid crystal to hexagonal-crystalline solid falls into an unusual universality class, which in three-dimensional allows for both discontinuous transitions as well as…

Soft Condensed Matter · Physics 2009-11-13 Gregory M. Grason

We study changes in the chaotic properties of a many-body system undergoing a solid-fluid phase transition. To do this, we compute the temperature dependence of the largest Lyapunov exponents $\lambda_{max}$ for both two- and…

chao-dyn · Physics 2016-08-31 Kyung-Hoon Kwon , Byung-Yoon Park

A nano-second scale in situ probe reveals that a bulk linear polymer undergoes a sharp phase transition as a function of the degree of conversion, as it nears the glass transition. The scaling behaviour is in the same universality class as…

Soft Condensed Matter · Physics 2009-11-07 Y. Yilmaz , A. Erzan , O. Pekcan

We have combined the detailed He I recombination model of Smits with the collisional transitions of Sawey & Berrington in order to produce new accurate helium emissivities that include the effects of collisional excitation from both the 2…

Astrophysics · Physics 2009-10-31 Robert A. Benjamin , Evan D. Skillman , Derck P. Smits

A method for calculation of the critical temperature of transition of a many-particle Fermi system into a superfluid or a superconducting state at an arbitrary pair potential of the interparticle interaction is proposed. An original…

Statistical Mechanics · Physics 2015-11-26 Yu. M. Poluektov , A. A. Soroka

We comment on a recent letter by L. C. de Albuquerque and M. M. Leite (J. Phys. A: Math. Gen. 34 (2001) L327-L332), in which results to second order in $\epsilon=4-d+\frac{m}{2}$ were presented for the critical exponents…

Statistical Mechanics · Physics 2009-11-07 H. W. Diehl , M. Shpot

We perform successive umbrella sampling grand canonical Monte Carlo computer simulations of the original ST2 model of water in the vicinity of the proposed liquid-liquid critical point, at temperatures above and below the critical…

Soft Condensed Matter · Physics 2011-08-31 Sciortino Francesco , Saika-Voivod Ivan , Poole Peter

Monte Carlo investigations of magnetization versus field, $M_c(H)$, at the critical temperature provide direct accurate results on the critical exponent $\delta^{-1}$ for one, two, three and four-dimensional lattices: $\delta_{1D}^{-1}$=0,…

Statistical Mechanics · Physics 2009-11-10 J. G. Garcia , J. A. Gonzalo

The discrepancy between the value of the Hubble constant $H_0$ measured from the local distance ladder and from the cosmic microwave background is the most serious challenge to the standard $\Lambda$CDM model. Various models have been…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-05 Jian-Ping Hu , F. Y. Wang

In this work a novel method to evaluate the liquid-vapor critical temperature using a generalization of the Microcanonical-ensemble computer simulation method (MCE) is presented. The isotherms of the chemical potential versus densities are…

Statistical Mechanics · Physics 2020-06-26 Francisco Sastre

We conducted Monte Carlo simulations to analyze the percolation transition of a non-symmetric loop model on a regular three-dimensional lattice. We calculated the critical exponents for the percolation transition of this model. The…

Statistical Mechanics · Physics 2025-02-18 Soumya Kanti Ganguly , Sumanta Mukherjee , Chandan Dasgupta

We perform a Monte Carlo analysis of the Ising model on many three-dimensional lattices. By means of finite-size scaling we obtain the critical points and determine the scaling dimensions. As expected, the critical exponents agree with the…

Statistical Mechanics · Physics 2026-05-26 Xiaofeng Qian , Youjin Deng , Lev N. Shchur , Henk W. J. Blöte

Via extensive Monte Carlo simulations along with systematic analyses of corrections to scaling, we estimate the order parameter critical exponent $\beta$ of absorbing phase transitions in systems with two symmetric absorbing states. The…

Statistical Mechanics · Physics 2020-05-18 Su-Chan Park

In extensive Monte Carlo simulations the phase transition of the random field Ising model in three dimensions is investigated. The values of the critical exponents are determined via finite size scaling. For a Gaussian distribution of the…

Condensed Matter · Physics 2009-10-28 Heiko Rieger