[HTML][HTML] The role of magnetization in phase-ordering kinetics of the short-range and long-range Ising model
The kinetics of phase ordering has been investigated for numerous systems via the growth
of the characteristic length scale\(\ell (t)\sim t^{\alpha}\) quantifying the size of ordered …
of the characteristic length scale\(\ell (t)\sim t^{\alpha}\) quantifying the size of ordered …
Coarsening and metastability of the long-range voter model in three dimensions
We study analytically the ordering kinetics and the final metastable states in the three-
dimensional long-range voter model where N agents described by a Boolean spin variable …
dimensional long-range voter model where N agents described by a Boolean spin variable …
Critical percolation in the ordering kinetics of twisted nematic phases
RAL Almeida - Physical Review Letters, 2023 - APS
I report on the experimental confirmation that critical percolation statistics underlie the
ordering kinetics of twisted nematic phases in the Allen-Cahn universality class. Soon after …
ordering kinetics of twisted nematic phases in the Allen-Cahn universality class. Soon after …
Critical dynamics of long-range models on dynamical Lévy lattices
We investigate critical equilibrium and out of equilibrium properties of a ferromagnetic Ising
model in one and two dimensions in the presence of long-range interactions, J ij∝ r−(d+ σ) …
model in one and two dimensions in the presence of long-range interactions, J ij∝ r−(d+ σ) …
Nonuniversal aging during phase separation with long-range interaction
Issues concerning the kinetics of phase transitions are not well established for the cases
where the order parameter remains conserved with time, particularly when the interatomic …
where the order parameter remains conserved with time, particularly when the interatomic …
Finite-size scaling in the ageing dynamics of the Glauber-Ising model
M Henkel - arxiv preprint arxiv:2501.05912, 2025 - arxiv.org
Single-time and two-time correlators are computed exactly in the $1 D $ Glauber-Ising
model after a quench to zero temperature and on a periodic chain of finite length $ N …
model after a quench to zero temperature and on a periodic chain of finite length $ N …
Aging during Phase Separation in Long-Range Ising Model
S Ghosh, SK Das - arxiv preprint arxiv:2304.04996, 2023 - arxiv.org
The kinetics of domain growth and aging in conserved order parameter systems, in the
presence of short-range interaction, is widely studied. Due to technical difficulties and lack of …
presence of short-range interaction, is widely studied. Due to technical difficulties and lack of …
Coarsening in the Long-range Ising Model with Conserved Dynamics
S Ghosh, SK Das - arxiv preprint arxiv:2410.13447, 2024 - arxiv.org
While the kinetics of domain growth, even for conserved order-parameter dynamics, is
widely studied for short-range inter-particle interactions, systems having long-range …
widely studied for short-range inter-particle interactions, systems having long-range …
Phase ordering dynamics of the random-field long-range Ising model in one dimension
We investigate the influence of long-range (LR) interactions on the phase ordering dynamics
of the one-dimensional random-field Ising model (RFIM). Unlike the usual RFIM, a spin …
of the one-dimensional random-field Ising model (RFIM). Unlike the usual RFIM, a spin …
Nonequilibrium critical dynamics of the two-dimensional Ising model
The±J Ising model is a simple frustrated spin model, where the exchange couplings
independently take the discrete value− J with probability p and+ J with probability 1− p. It is …
independently take the discrete value− J with probability p and+ J with probability 1− p. It is …