scholarly journals The one-dimensional long-range ferromagnetic Ising model with a periodic external field

2012 ◽  
Vol 391 (10) ◽  
pp. 2931-2935 ◽  
Author(s):  
Azer Kerimov
Keyword(s):  
Ising Model ◽  
External Field ◽  
Long Range ◽  
One Dimensional ◽  
Ferromagnetic Ising Model ◽  
The One ◽  
Periodic External Field

scholarly journals ONE-DIMENSIONAL LONG-RANGE FERROMAGNETIC ISING MODEL UNDER WEAK AND SPARSE EXTERNAL FIELD

2009 ◽  
Vol 23 (32) ◽  
pp. 5899-5906
Author(s):  
AZER KERIMOV
Keyword(s):  
Ising Model ◽  
External Field ◽  
Long Range ◽  
Low Temperatures ◽  
Gibbs State ◽  
Range Interaction ◽  
One Dimensional ◽  
Long Range Interaction ◽  
Ferromagnetic Ising Model ◽  
The One

We consider the one-dimensional ferromagnetic Ising model with very long range interaction under weak and sparse biased external field and prove that at sufficiently low temperatures, the model has a unique limiting Gibbs state.

scholarly journals GROUND STATES OF ONE-DIMENSIONAL LONG-RANGE FERROMAGNETIC ISING MODEL WITH EXTERNAL FIELD

2012 ◽  
Vol 26 (03) ◽  
pp. 1150014 ◽  
Author(s):  
AZER KERIMOV
Keyword(s):  
Phase Diagram ◽  
Ising Model ◽  
External Field ◽  
Lattice Points ◽  
Temperature Phase ◽  
Zero Temperature ◽  
One Dimensional ◽  
Ferromagnetic Ising Model ◽  
The One ◽  
Temperature Phase Diagram

A zero-temperature phase-diagram of the one-dimensional ferromagnetic Ising model is investigated. It is shown that at zero temperature spins of any compact collection of lattice points with identically oriented external field are identically oriented.

Crossover between short- and long-range interactions in the one-dimensional Ising model

1988 ◽  
Vol 21 (1) ◽  
pp. 227-232 ◽  
Author(s):  
V B Kislinsky ◽  
V I Yukalov
Keyword(s):  
Ising Model ◽  
Long Range ◽  
One Dimensional ◽  
Long Range Interactions ◽  
The One

scholarly journals Coexistence of coarsening and mean field relaxation in the long-range Ising chain

2021 ◽  
Vol 10 (5) ◽  
Author(s):  
Federico Corberi ◽  
Alessandro Iannone ◽  
Manoj Kumar ◽  
Eugenio Lippiello ◽  
Paolo Politi
Keyword(s):  
Ising Model ◽  
Long Range ◽  
Characteristic Time ◽  
Opposite Sign ◽  
Mean Field ◽  
Ising Chain ◽  
One Dimensional ◽  
Dynamical Scaling ◽  
Long Range Interactions ◽  
The One

We study the kinetics after a low temperature quench of the one-dimensional Ising model with long range interactions between spins at distance rr decaying as r^{-\alpha}r−α. For \alpha =0α=0, i.e. mean field, all spins evolve coherently quickly driving the system towards a magnetised state. In the weak long range regime with \alpha >1α>1 there is a coarsening behaviour with competing domains of opposite sign without development of magnetisation. For strong long range, i.e. 0<\alpha <10<α<1, we show that the system shows both features, with probability P_\alpha (N)Pα(N) of having the latter one, with the different limiting behaviours \lim _{N\to \infty}P_\alpha (N)=0limN→∞Pα(N)=0 (at fixed \alpha<1α<1) and \lim _{\alpha \to 1}P_\alpha (N)=1limα→1Pα(N)=1 (at fixed finite NN). We discuss how this behaviour is a manifestation of an underlying dynamical scaling symmetry due to the presence of a single characteristic time \tau _\alpha (N)\sim N^\alphaτα(N)∼Nα.

Relaxational processes in the one-dimensional diluted Ising model with long-range interactions

2017 ◽  
Vol 511 (1) ◽  
pp. 35-41
Author(s):  
Yusuke Tomita
Keyword(s):  
Ising Model ◽  
Long Range ◽  
One Dimensional ◽  
Long Range Interactions ◽  
The One

Yang-Lee edge singularity in the one-dimensional long-range Ising model

1991 ◽  
Vol 24 (2) ◽  
pp. 501-511 ◽  
Author(s):  
Z Glumac ◽  
K Uzelac
Keyword(s):  
Ising Model ◽  
Long Range ◽  
One Dimensional ◽  
Edge Singularity ◽  
The One

scholarly journals Критический индекс восприимчивости 1D-изинговского ферромагнетика, замкнутого в кольцо

2018 ◽  
Vol 60 (7) ◽  
pp. 1318
Author(s):  
Ж.В. Дзюба ◽  
В.Н. Удодов
Keyword(s):  
Critical Temperature ◽  
Ising Model ◽  
Particle Interaction ◽  
Three Dimensional ◽  
One Dimensional ◽  
Dimensional Scaling ◽  
Finite Dimensional ◽  
The Monte Carlo Method ◽  
Ferromagnetic Ising Model ◽  
The One

AbstractUsing the Monte Carlo method, critical behavior of the one-dimensional ferromagnetic Ising model has been investigated with allowance for the interaction of the second and third neighbors and four-particle interaction. The obtained results on the critical temperature were compared with the critical temperature of the quasi-one-dimensional Ising magnetic [(СН_3)_3NH] · FeCl_3 · 2H_2O and with the magnitude of the exchange interaction J/k _B = 17.4 K. Within the scope of the finite-dimensional scaling theory, the critical susceptibility exponent has been calculated. It has been shown that values of the susceptibility exponent for the one-dimensional Ising model with periodic boundary conditions are considerably less than the known values of the exponents for three-dimensional systems. The critical susceptibility exponent strongly depends on energy parameters; namely, it decreases with an increase in them.

Quasi-additive estimates on the Hamiltonian for the one-dimensional long range Ising model

2017 ◽  
Vol 58 (7) ◽  
pp. 073301 ◽  
Author(s):  
Jorge Littin ◽  
Pierre Picco
Keyword(s):  
Ising Model ◽  
Long Range ◽  
One Dimensional ◽  
The One
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