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We address the problem of determining the critical equation of state of three-dimensional XY systems. For this purpose we first consider the small-field expansion of the effective potential (Helmholtz free energy) in the high-temperature…

统计力学 · 物理学 2011-07-19 Massimo Campostrini , Andrea Pelissetto , Paolo Rossi , Ettore Vicari

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…

统计力学 · 物理学 2009-10-31 Massimo Campostrini , Andrea Pelissetto , Paolo Rossi , Ettore Vicari

We investigate the critical behavior of three-dimensional random-field Ising systems with both Gauss and bimodal distribution of random fields and additional the three-dimensional diluted Ising antiferromagnet in an external field. These…

统计力学 · 物理学 2009-10-31 A. K. Hartmann , U. Nowak

The equation of state of the universality class of the 3D Ising model is determined numerically in the critical domain from quantum field theory and renormalization group techniques. The starting point is the five loop perturbative…

高能物理 - 理论 · 物理学 2009-08-25 Riccardo Guida , Jean Zinn Justin

The random field Ising model in three dimensions with Gaussian random fields is studied at zero temperature for system sizes up to 60^3. For each realization of the normalized random fields, the strength of the random field, Delta and a…

统计力学 · 物理学 2009-11-07 Ilija Dukovski , Jon Machta

The ferromagnet-to-paramagnet transition of the four-dimensional random-field Ising model with Gaussian distribution of the random fields is studied. Exact ground states of systems with sizes up to 32^4 are obtained using graph theoretical…

无序系统与神经网络 · 物理学 2009-11-07 Alexander K. Hartmann

We compute the 2n-point coupling constants in the high-temperature phase of the 2d Ising model by using transfer-matrix techniques. This provides the first few terms of the expansion of the effective potential (Helmholtz free energy) and of…

统计力学 · 物理学 2016-08-31 M. Caselle , M. Hasenbusch , A. Pelissetto , E. Vicari

The description of a three-dimensional Ising-like magnet in the presence of an external field in the vicinity of the critical point by the collective variables method is proposed. Using the renormalization group transformations, the scaling…

高能物理 - 理论 · 物理学 2009-11-11 M. P. Kozlovskii , I. V. Pylyuk , O. O. Prytula

The scaling form of the free-energy near a critical point allows for the definition of various thermodynamical amplitudes and the determination of their dependence on the microscopic non-universal scales. Universal quantities can be…

统计力学 · 物理学 2009-10-31 D. Fioravanti , G. Mussardo , P. Simon

Using combinatorial optimisation techniques we study the critical properties of the two- and the three-dimensional Ising model with uniformly distributed random antiferromagnetic couplings $(1 \le J_i \le 2)$ in the presence of a…

无序系统与神经网络 · 物理学 2022-06-08 Jean-Christian Anglès d'Auriac , Ferenc Iglói

We present numerical simulations of the random field Ising model in three dimensions at zero temperature. The critical exponents are found to agree with previous results. We study the magnetic susceptibility by applying a small magnetic…

无序系统与神经网络 · 物理学 2014-03-21 Marco Picco , Nicolas Sourlas

We investigate the low-temperature critical behavior of the three dimensional random-field Ising ferromagnet. By a scaling analysis we find that in the limit of temperature $T \to 0$ the usual scaling relations have to be modified as far as…

无序系统与神经网络 · 物理学 2015-06-25 U. Nowak , K. D. Usadel , J. Esser

We study numerically the zero temperature Random Field Ising Model on cubic lattices of various linear sizes $ 6 \le L \le 90 $ in three dimensions with the purpose of verifying the validity of universality for disordered systems. For each…

统计力学 · 物理学 2016-08-31 Nicolas Sourlas

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…

统计力学 · 物理学 2009-10-31 M. I. Marques , J. A. Gonzalo , J. Iniguez

The three-dimensional bimodal random-field Ising model is investigated using the N-fold version of the Wang-Landau algorithm. The essential energy subspaces are determined by the recently developed critical minimum energy subspace…

统计力学 · 物理学 2009-11-13 A. Malakis , N. G. Fytas

25th-order high-temperature series are computed for a general nearest-neighbor three-dimensional Ising model with arbitrary potential on the simple cubic lattice. In particular, we consider three improved potentials characterized by…

统计力学 · 物理学 2009-11-07 Massimo Campostrini , Andrea Pelissetto , Paolo Rossi , Ettore Vicari

The low-lying spectrum of the three-dimensional Ising model is investigated numerically; we made use of an equivalence between the excitation gap and the reciprocal correlation length. In the broken-symmetry phase, the magnetic excitations…

统计力学 · 物理学 2009-11-13 Yoshihiro Nishiyama

We study the purely relaxational dynamics (model A) at criticality in three-dimensional disordered Ising systems whose static critical behaviour belongs to the randomly diluted Ising universality class. We consider the site-diluted and…

无序系统与神经网络 · 物理学 2009-11-13 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

We study the universal properties of the phase diagram of QCD near the critical point using the exact renormalization group. For two-flavour QCD and zero quark masses we derive the universal equation of state in the vicinity of the…

高能物理 - 理论 · 物理学 2009-11-10 N. Brouzakis , N. Tetradis

We present a finite-size scaling analysis of high-statistics Monte Carlo simulations of the three-dimensional randomly site-diluted and bond-diluted Ising model. The critical behavior of these systems is affected by slowly-decaying scaling…

无序系统与神经网络 · 物理学 2011-02-16 Martin Hasenbusch , Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari
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