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The low temperature dynamics of the three dimensional Ising spin glass in zero field with a discrete bond distribution is investigated via MC simulations. The thermoremanent magnetization is found to decay algebraically and the temperature…

High Energy Physics - Lattice · Physics 2019-06-05 Heiko Rieger

The low temperature dynamics of the three dimensional Ising spin glass in zero field with a discrete bond distribution is investigated via MC simulations. The thermoremanent magnetization is found to decay algebraically and the temperature…

Condensed Matter · Physics 2009-10-22 Heiko Rieger

By utilizing the effective-field theory based on the Glauber-type stochastic dynamics, the dynamic behaviors of the hexagonal Ising nanowire (HIN) system in the presence of a time dependent magnetic field are obtained. The time variations…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Mehmet Ertas , Yusuf Kocakaplan

While the canonical ensemble has been tremendously successful in capturing thermal statistics of macroscopic systems, deviations from canonical behavior exhibited by small systems are not well understood. Here, using a small two dimensional…

Statistical Mechanics · Physics 2021-01-07 Lukas Herron , Purushottam Dixit

The dynamic evolution at zero temperature of a uniform Ising ferromagnet on a square lattice is followed by Monte Carlo computer simulations. The system always eventually reaches a final, absorbing state, which sometimes coincides with a…

Computational Physics · Physics 2009-11-11 P. M. C. de Oliveira , C. M. Newman , V. Sidoravicious , D. L. Stein

We built a model where all spins are in interaction with each other via an antiferromagnetic Ising Hamiltonian. The geometry of such a model is a tetrahedron placed on a hypersphere in spaces of dimensions enclosed between 1 and 9. Due to…

Computational Physics · Physics 2007-05-23 N. Olivi-Tran , R. V. Paredes

Previous studies on the generalized XY model have concentrated on the equilibrium phase diagram and the equilibrium nature of distinct phases under varying parameter conditions. We direct our attention towards examining the systems…

Soft Condensed Matter · Physics 2024-04-19 Partha Sarathi Mondal , Pawan Kumar Mishra , Shradha Mishra

A Hamiltonian dynamics is defined for the XY model by adding a kinetic energy term. Thermodynamical properties (total energy, magnetization, vorticity) derived from microcanonical simulations of this model are found to be in agreement with…

Statistical Mechanics · Physics 2014-10-13 Xavier Leoncini , Alberto D. Verga , Stefano Ruffo

We study a nonequilibrium mean field Ising model in the low temperature phase regime, where metastable equilibrium states develop a cuspidal (spinodal) singularity. We focus on celebrated Glauber dynamics, and design a contact Hamiltonian…

Mathematical Physics · Physics 2023-03-08 Shin-itiro Goto , Shai Lerer , Leonid Polterovich

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…

Disordered Systems and Neural Networks · Physics 2022-06-08 Jean-Christian Anglès d'Auriac , Ferenc Iglói

We consider nonequilibrium critical dynamics of the two-dimensional Ising model for which the initial state is prepared by switching on random fields with zero mean and variance $H$. In the initial state there is no magnetic order but the…

Statistical Mechanics · Physics 2015-06-25 Laszlo Kornyei , Michel Pleimling , Ferenc Igloi

Non-equilibrium systems lack an explicit characterisation of their steady state like the Boltzmann distribution for equilibrium systems. This has drastic consequences for the inference of parameters of a model when its dynamics lacks…

Statistical Mechanics · Physics 2016-11-15 Simon L. Dettmer , H. Chau Nguyen , Johannes Berg

The local equilibrium thermodynamics is a basic assumption of macroscopic descriptions of the out of equilibrium dynamics for Hamiltonian systems. We numerically analyze the Hamiltonian Potts model in two dimensions to study the violation…

Statistical Mechanics · Physics 2023-06-21 Michikazu Kobayashi , Naoko Nakagawa , Shin-ichi Sasa

Some deterministic cellular automata have been observed to follow the pattern of the second law of thermodynamics: starting from a partially disordered state, the system evolves towards a state of equilibrium characterized by maximal…

Cellular Automata and Lattice Gases · Physics 2015-05-27 Siamak Taati

Kinetic Ising models on the square lattice with both nearest-neighbor interactions and self-interaction are studied for the cases of random sequential updating and parallel updating. The equilibrium phase diagrams and critical dynamics are…

Statistical Mechanics · Physics 2020-01-22 Vahini Reddy Nareddy , Jonathan Machta

We numerically study the dynamics after a parameter quench in the one-dimensional transverse-field Ising model with long-range interactions ($\propto 1/r^\alpha$ with distance $r$), for finite chains and also directly in the thermodynamic…

Magnetic domain structures are a fascinating area of study with interest deriving both from technological applications and fundamental scientific questions. The nature of the striped magnetic phases observed in ultra-thin films is one such…

Materials Science · Physics 2015-05-13 Tom Hosiawa , A. B. MacIsaac

We study the dynamics of magnetic correlations in the half-filled fermionic Hubbard model following a fast ramp of the repulsive interaction. We use Schwinger-Keldysh self-consistent second-order perturbation theory to investigate the…

Strongly Correlated Electrons · Physics 2015-08-05 Johannes Bauer , Mehrtash Babadi , Eugene Demler

A Hamiltonian-based model of many harmonically interacting massive particles that are subject to linear friction and coupled to heat baths at different temperatures is used to study the dynamic approach to equilibrium and non-equilibrium…

Statistical Mechanics · Physics 2020-09-17 Roland R. Netz

Nonequilibrium molecular dynamics simulations often use mechanisms called thermostats to regulate the temperature. A Hamiltonian is presented for the case of the isoenergetic (constant internal energy) thermostat corresponding to a tunable…

chao-dyn · Physics 2009-10-31 C. P. Dettmann
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