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We examine persistence in one dimensional Ising model under zero temperature Glauber dynamics for random initial states with unequal fraction of up and down spins. We find the persistence exponent varies continuously with the fraction of up…

Statistical Mechanics · Physics 2019-10-01 Prabodh Shukla

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

High-order cumulants and factorial cumulants of conserved charges are suggested to study the critical dynamics in heavy-ion collision experiments. In this paper, using the parametric representation of the three-dimensional Ising model which…

Nuclear Theory · Physics 2022-03-22 Xue Pan

We consider an Ising model where longitudinal components of every pair of spins have antiferromagnetic interaction of the same magnitude. When subjected to a transverse magnetic field at zero temperature, the system undergoes a phase…

Statistical Mechanics · Physics 2015-05-14 Anindita Ganguli , Subinay Dasgupta

We consider the coarsening properties of a kinetic Ising model with a memory field. The probability of a spin-flip depends on the persistence time of the spin in a state. The more a spin has been in a given state, the less the spin-flip…

Statistical Mechanics · Physics 2009-11-13 Fabio Caccioli , Silvio Franz , Matteo Marsili

Diluted Ising antiferromagnets in a homogenous magnetic field have a disordered phase for sufficiently large values of the field and for low temperatures. Here, the system is in a domain state with a broad size-distribution of fractal…

Disordered Systems and Neural Networks · Physics 2008-02-03 M. Staats , U. Nowak , K. D. Usadel

For the first time we present the consideration of the antiferromagnetic Ising model in case of fully developed chaos and obtain the exact connection between this model and chaotic repellers. We describe the chaotic properties of this…

Condensed Matter · Physics 2009-10-28 N. S. Ananikian , S. K. Dallakian , N. Sh. Izmailian , K. A. Oganessyan

A lot of progress has been made recently in our understanding of the random-field Ising model thanks to large-scale numerical simulations. In particular, it has been shown that, contrary to previous statements: the critical exponents for…

Disordered Systems and Neural Networks · Physics 2018-07-10 Nikolaos G. Fytas , Victor Martin-Mayor , Marco Picco , Nicolas Sourlas

We consider a periodic Ising chain with nearest-neighbour and $r$-th neighbour interaction and quench it from infinite temperature to zero temperature. The persistence probability $P(t)$, measured as the probability that a spin remains…

Statistical Mechanics · Physics 2008-03-14 Anjan Kumar Chandra , Subinay Dasgupta

Magnetic remanence - found in bar magnets or magnetic storage devices - is probably the oldest and most ubiquitous phenomenon underpinning technological applications of magnetism. It is a macroscopic non-equilibrium phenomenon: a remanent…

We investigate global persistence properties for the non-equilibrium critical dynamics of the randomly diluted Ising model. The disorder averaged persistence probability $\bar{{P}_c}(t)$ of the global magnetization is found to decay…

Disordered Systems and Neural Networks · Physics 2015-06-25 Raja Paul , Gregory Schehr

With Monte Carlo simulations, we investigate short-time critical dynamics of the three-dimensional anti-ferromagnetic Ising model with a globally conserved magnetization $m_s$ (not the order parameter). From the power law behavior of the…

Statistical Mechanics · Physics 2009-11-07 B. Zheng , H. J. Luo

We study crystal melting in two-dimensional antiferromagnets, by analyzing the statistical mechanics of the six-state clock model on a lattice in which defects (dislocations and disclinations) are allowed to appear. We show that the…

Statistical Mechanics · Physics 2018-01-26 Itamar Shamai , Daniel Podolsky

The parallel-tempering method has been applied to numerically study the thermodynamic behavior of a three-dimensional disordered antiferromagnetic Ising model with random fields at spin concentrations corresponding to regions of both weak…

Disordered Systems and Neural Networks · Physics 2008-02-04 V. Prudnikov , A. Vakilov , E. Filikanov

We consider the Ising systems in $d$ dimensions with nearest-neighbor ferromagnetic interactions and long-range repulsive (antiferromagnetic) interactions which decay with a power, $s$, of the distance. The physical context of such models…

Mathematical Physics · Physics 2011-11-10 Marek Biskup , Lincoln Chayes , Steven A. Kivelson

The question of robustness of a network under random ``attacks'' is treated in the framework of critical phenomena. The persistence of spontaneous magnetization of a ferromagnetic system to the random inclusion of antiferromagnetic…

Disordered Systems and Neural Networks · Physics 2009-11-13 M. O. Hase , J. F. F. Mendes

The antiferromagnet is a closed Hermitian system, we find that its excitations, even in the absence of dissipation, can be viewed as a non-Hermitian system with dissipative coupling. Consequently, the antiferromagnetic resonance spectrum…

Mesoscale and Nanoscale Physics · Physics 2021-11-19 Yutian Wang , Jiang Xiao

In this paper we study the spin transport in frustrated antiferromagnetic FCC films by Monte Carlo simulation. In the case of Ising spin model, we show that the spin resistivity versus temperature exhibits a discontinuity at the phase…

Materials Science · Physics 2015-05-19 Yann Magnin , K. Akabli , Hung The Diep

We introduce a quantum antiferromagnet model, having exactly soluble thermodynamic properties. It is an infinite range antiferromagnetic Ising model put in a transverse field. The free energy gives the ground state energy in the zero…

Statistical Mechanics · Physics 2007-05-23 Bikas K. Chakrabarti , Jun-ichi Inoue

Antiferromagnetic spintronics is an emerging field; antiferromagnets can improve the functionalities of ferromagnets with higher response times, and having the information shielded against external magnetic field. Moreover, a large list of…