scholarly journals Zero-temperature dynamics in the two-dimensional axial next-nearest-neighbor Ising model

2008 ◽  
Vol 78 (4) ◽  
Author(s):  
Soham Biswas ◽  
Anjan Kumar Chandra ◽  
Parongama Sen
Keyword(s):  
Ising Model ◽  
Nearest Neighbor ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Temperature Dynamics

scholarly journals EXACT SOLUTION OF AN IRREVERSIBLE ONE-DIMENSIONAL MODEL WITH FULLY BIASED SPIN EXCHANGES

1996 ◽  
Vol 10 (25) ◽  
pp. 3451-3459 ◽  
Author(s):  
ANTÓNIO M.R. CADILHE ◽  
VLADIMIR PRIVMAN
Keyword(s):  
Exact Solution ◽  
Domain Wall ◽  
Nearest Neighbor ◽  
Spin Exchange ◽  
Initial Conditions ◽  
Strong Dependence ◽  
Zero Temperature ◽  
Dimensional Model ◽  
One Dimensional ◽  
Temperature Dynamics

We introduce a model with conserved dynamics, where nearest neighbor pairs of spins ↑↓ (↓↑) can exchange to assume the configuration ↓↑ (↑↓), with rate β(α), through energy decreasing moves only. We report exact solution for the case when one of the rates, α or β, is zero. The irreversibility of such zero-temperature dynamics results in strong dependence on the initial conditions. Domain wall arguments suggest that for more general, finite-temperature models with steady states the dynamical critical exponent for the anisotropic spin exchange is different from the isotropic value.

scholarly journals Zero-temperature coarsening in the two-dimensional long-range Ising model

2021 ◽  
Vol 103 (5) ◽  
Author(s):  
Henrik Christiansen ◽  
Suman Majumder ◽  
Wolfhard Janke
Keyword(s):  
Ising Model ◽  
Long Range ◽  
Two Dimensional ◽  
Zero Temperature

Logarithmic Factors, Critical Temperature, and Zero Temperature Flipping in the 4D Kinetic Ising Model

1997 ◽  
Vol 08 (02) ◽  
pp. 263-267 ◽  
Author(s):  
Dietrich Stauffer ◽  
Joan Adler
Keyword(s):  
Critical Temperature ◽  
Ising Model ◽  
Nearest Neighbor ◽  
Kinetic Monte Carlo ◽  
Series Expansions ◽  
Fourth Moment ◽  
Zero Temperature ◽  
Kinetic Ising Model ◽  
Kinetic Monte Carlo Simulations ◽  
Error Bars

We determine the critical temperature in the four-dimensional nearest-neighbor Ising model as J/kB Tc=0.149694±0.000002 from kinetic Monte Carlo simulations of up to 5764 spins. Here we assume the critical magnetization to decay with time as (t/ log t)-1/2. However, possible logarithmic additions to this leading scaling behavior could change the estimate beyond these error bars. A reanalyzis of old series expansions for the susceptibility and fourth moment gives 0.149696±0.000004.

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