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Grand canonical simulations designed to resolve critical universality classes are reported for $z$:1 hard-core electrolyte models with diameter ratios $\lambda {=} a_+/a_- {\lesssim} 6$. For $z {=} 1$ Ising-type behavior prevails. Unbiased…

Soft Condensed Matter · Physics 2016-08-31 Young C. Kim , Michael E. Fisher , A. Z. Panagiotouplos

Reassessment of the critical temperature and density of the restricted primitive model of an ionic fluid by Monte Carlo simulations performed for system sizes with linear dimension up to $L/\sigma=34$ and sampling of $\sim 10^9$ trial moves…

Statistical Mechanics · Physics 2009-11-07 J. -M. Caillol , D. Levesque , J. -J. Weis

Recent Monte Carlo simulations of the critical point of the restricted primitive model for ionic solutions are reported. Only the continuum version of the model is considered. A finite size scaling analysis based in the Bruce-Wilding…

Statistical Mechanics · Physics 2007-05-23 Jean-Michel Caillol

Grand canonical simulations at various levels, $\zeta=5$-20, of fine- lattice discretization are reported for the near-critical 1:1 hard-core electrolyte or RPM. With the aid of finite-size scaling analyses it is shown convincingly that,…

Statistical Mechanics · Physics 2009-11-10 Young C. Kim , Michael E. Fisher

The constant-volume heat capacity, C_V(T, rho), of the restricted primitive model (RPM) electrolyte is considered in the vicinity of its critical point. It is demonstrated that, despite claims, recent simulations for finite systems do not…

Soft Condensed Matter · Physics 2009-10-31 Erik Luijten , Michael E. Fisher , Athanassios Z. Panagiotopoulos

We use a high-precision Monte Carlo simulation to determine the universal specific-heat amplitude ratio A+/A- in the three-dimensional Ising model via the impact angle \phi of complex temperature zeros. We also measure the…

Statistical Mechanics · Physics 2015-05-28 A. Gordillo-Guerrero , R. Kenna , J. J. Ruiz-Lorenzo

High-temperature series are computed for a generalized $3d$ Ising model with arbitrary potential. Two specific ``improved'' potentials (suppressing leading scaling corrections) are selected by Monte Carlo computation. Critical exponents are…

Statistical Mechanics · Physics 2009-10-31 Massimo Campostrini , Andrea Pelissetto , Paolo Rossi , Ettore Vicari

The universality class of thermally diluted Ising systems, in which the realization of the disposition of magnetic atoms and vacancies is taken from the local distribution of spins in the pure original Ising model at criticality, is…

Statistical Mechanics · Physics 2009-10-31 M. I. Marques , J. A. Gonzalo , J. Iniguez

We present a new way of probing the universality class of the site-diluted two-dimensional Ising model. We analyse Monte Carlo data for the magnetic susceptibility, introducing a new fitting procedure in the critical region applicable even…

Statistical Mechanics · Physics 2008-12-18 Lev N. Shchur , Oleg A. Vasilyev

The excess entropy of restricted primitive model electrolytes is calculated using a potential based approach through the symmetric Poisson-Boltzmann and the modified Poisson-Boltzmann theories. The theories are utilized in conjunction with…

Statistical Mechanics · Physics 2025-04-01 S. Lamperski , L. B. Bhuiyan , C. W. Outhwaite , R. Gorniak

We present a novel method to derive liquid-gas coexisting densities, $\rho^{\pm}(T)$, from grand canonical simulations (without knowledge of $\Tc$ or criticality class). The minima of $ Q_{L}\equiv< m^{2} >_{L}^{2}/< m^{4}>_{L}$ in an…

Statistical Mechanics · Physics 2009-11-10 Young C. Kim , Michael E. Fisher , Erik Luijten

We compute the critical exponents $\nu$, $\eta$ and $\omega$ of $O(N)$ models for various values of $N$ by implementing the derivative expansion of the nonperturbative renormalization group up to next-to-next-to-leading order [usually…

Statistical Mechanics · Physics 2020-04-30 Gonzalo De Polsi , Ivan Balog , Matthieu Tissier , Nicolás Wschebor

Using Monte Carlo simulations, we show that for a certain model of biological evolution, which is driven by non-extremal dynamics, active and absorbing phases are separated by a critical phase. In this phase both the density of active sites…

Statistical Mechanics · Physics 2009-10-31 Adam Lipowski

We perform high-statistics Monte Carlo simulations of three-dimensional Ising spin-glass models on cubic lattices of size L: the +- J (Edwards-Anderson) Ising model for two values of the disorder parameter p, p=0.5 and p=0.7 (up to L=28 and…

Disordered Systems and Neural Networks · Physics 2009-11-13 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

We investigate three Ising models on the simple cubic lattice by means of Monte Carlo methods and finite-size scaling. These models are the spin-1/2 Ising model with nearest-neighbor interactions, a spin-1/2 model with nearest-neighbor and…

Condensed Matter · Physics 2009-10-28 Henk W. J. Blöte , Erik Luijten , Jouke R. Heringa

Phase separation and criticality are analyzed in $z$:1 charge-asymmetric ionic fluids of equisized hard spheres by generalizing the Debye-H\"{u}ckel approach combined with ionic association, cluster solvation by charged ions, and hard-core…

Statistical Mechanics · Physics 2009-11-10 Jean-Noel Aqua , Shubho Banerjee , Michael E. Fisher

The restricted primitive model with nonadditive hard-sphere diameters is shown to have interesting and peculiar clustering properties. We report accurate calculations of the cluster concentrations. Implementing efficient and ad hoc Monte…

Soft Condensed Matter · Physics 2013-07-11 Riccardo Fantoni , Giorgio Pastore

We perform high-statistics Monte Carlo simulations of three three-dimensional Ising spin-glass models: the +-J Ising model for two values of the disorder parameter p, p=1/2 and p=0.7, and the bond-diluted +-J model for bond-occupation…

Disordered Systems and Neural Networks · Physics 2009-11-13 M. Hasenbusch , A. Pelissetto , E. Vicari

Gas-liquid criticality in the ultrasoft restricted primitive model (URPM) of polyelectrolytes is studied using the collective variables-based theory. For the model, an effective Hamiltonian is derived and explicit expressions for all the…

Statistical Mechanics · Physics 2015-06-24 O. Patsahan

We present a worm-type Monte Carlo study of several typical models in the three-dimensional (3D) U(1) universality class, which include the classical 3D XY model in the directed flow representation and its Villain version, as well as the 2D…

Statistical Mechanics · Physics 2019-08-30 Wanwan Xu , Yanan Sun , Jian-Ping Lv , Youjin Deng
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