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We study the behaviour of a universal combination of susceptibility and correlation length in the Ising model in two and three dimensions, in presence of both magnetic and thermal perturbations, in the neighbourhood of the critical point.…

High Energy Physics - Lattice · Physics 2020-07-13 Michele Caselle , Marianna Sorba

Hysteresis is studied for a two-dimensional, spin-1/2, nearest-neighbor, kinetic Ising ferromagnet in an oscillating field, using Monte Carlo simulations and analytical theory. Attention is focused on large systems and strong field…

Statistical Mechanics · Physics 2009-10-31 S. W. Sides , P. A. Rikvold , M. A. Novotny

We introduce a universal combination of susceptibility and correlation length in the 3D Ising model, depending both on temperature and external magnetic field. Starting from a parametric representation of the equation of state, we study its…

High Energy Physics - Lattice · Physics 2021-11-29 Michele Caselle , Marianna Sorba

Using an efficient one and two qubit gate simulator, operating on graphical processing units, we investigate ergodic properties of a quantum Ising spin 1/2 model on a two dimensional lattice, which is periodically driven by a…

Statistical Mechanics · Physics 2015-01-07 Carlos Pineda , Tomaž Prosen , Eduardo Villaseñor

Nonequilibrium phase transition properties of a mixed Ising ferrimagnetic model consisting of spin-1/2 and spin-3/2 on a square lattice under the existence of a time dependent oscillating magnetic field have been investigated by making use…

Statistical Mechanics · Physics 2014-08-27 Erol Vatansever , Hamza Polat

Universal scaling laws only apply asymptotically near critical phase transitions. We propose a general scheme, based on normal form theory of renormalization group flows, for incorporating corrections to scaling that quantitatively describe…

Statistical Mechanics · Physics 2024-08-06 David Hathcock , James P. Sethna

The nonequilibrium dynamic phase transitions in ferromagnetic models (Ising, XY and Heisenberg) are reviewed on the basis of very recent work in this field.

Statistical Mechanics · Physics 2009-11-11 Muktish Acharyya

By means of the discrete truncated Wigner approximation we study dynamical phase transitions arising in the steady state of transverse-field Ising models after a quantum quench. Starting from a fully polarized ferromagnetic initial…

Quantum Gases · Physics 2020-07-15 Reyhaneh Khasseh , Angelo Russomanno , Markus Schmitt , Markus Heyl , Rosario Fazio

We study the critical behavior of the Ising spin glass in five spatial dimensions through large-scale Monte Carlo simulations and finite-size scaling analysis. Numerical evidence for a phase transition is found both with and without an…

Disordered Systems and Neural Networks · Physics 2025-12-01 M. Aguilar-Janita , V. Martin-Mayor , J. Moreno-Gordo , J. J. Ruiz-Lorenzo

We explore the equilibrium properties of a two-dimensional Ising spin model with short-range exchange and long-range dipolar interactions as a function of the applied magnetic field H. The model is studied through extensive Monte Carlo…

Materials Science · Physics 2010-11-24 Rogelio Diaz-Mendez , Roberto Mulet

We find a possibility of a weak universality of spin-glass phase transitions in three-dimensional $\pm J$ models. The Ising, the XY and the Heisenberg models seem to undergo finite-temperature phase transitions with a ratio of the critical…

Disordered Systems and Neural Networks · Physics 2009-11-10 Tota Nakamura , Shin-ichi Endoh , Takeo Yamamoto

We investigate a quantum dynamical phase transition induced by the competition between local unitary evolution and dissipation in a qubit chain with a strong, on-site $\mathbb{Z}_2$ symmetry. While the steady-state of this evolution is…

Quantum Physics · Physics 2024-12-13 Stephen W. Yan , Diego Barberena , Matthew P. A. Fisher , Sagar Vijay

The effects of locally random magnetic fields are considered in a nonequilibrium Ising model defined on a square lattice with nearest-neighbors interactions. In order to generate the random magnetic fields, we have considered random…

Statistical Mechanics · Physics 2009-11-13 N. Crokidakis

In this work we present a thorough analysis of the phase transitions that occur in a ferromagnetic 2D Ising model, with only nearest-neighbors interactions, in the framework of the Tsallis nonextensive statistics. We performed Monte Carlo…

Statistical Mechanics · Physics 2011-07-01 N. Crokidakis , D. O. Soares-Pinto , M. S. Reis , A. M. Souza , R. S. Sarthour , I. S. Oliveira

We consider the three-dimensional randomly diluted Ising model and study the critical behavior of the static and dynamic spin-spin correlation functions (static and dynamic structure factors) at the paramagnetic-ferromagnetic transition in…

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

Three solvable models are set out in some detail in reviewing different types of phase transitions. Two of these relate directly to emergent critical phenomena, viz. melting and magnetic transitions in heavy rare-earth metals, and secondly,…

Statistical Mechanics · Physics 2014-11-10 N. H. March , G. G. N. Angilella , R. Pucci

We perform a quantum simulation of the Ising model with a transverse field using a collection of three trapped atomic ion spins. By adiabatically manipulating the Hamiltonian, we directly probe the ground state for a wide range of fields…

Quantum Physics · Physics 2011-12-15 E. E. Edwards , S. Korenblit , K. Kim , R. Islam , M. -S. Chang , J. K. Freericks , G. -D. Lin , L. -M. Duan , C. Monroe

An analysis is presented of the phase transition of the quantum Ising model with transverse field on the d-dimensional hypercubic lattice. It is shown that there is a unique sharp transition. The value of the critical point is calculated…

Mathematical Physics · Physics 2015-05-13 J. E. Björnberg , G. R. Grimmett

We employ the microcanonical inflection-point analysis method, developed for the systematic identification and classification of phase transitions in systems of any size, to study the two-dimensional Ising model at various lattice sizes and…

Statistical Mechanics · Physics 2023-06-30 Kedkanok Sitarachu , Michael Bachmann

The finite-size scaling method in the equilibrium Monte Carlo(MC) simulations and the finite-time scaling method in the nonequilibrium-relaxation simulations are compromised. MC time data of various physical quantities are scaled by the MC…

Statistical Mechanics · Physics 2010-08-02 Tota Nakamura