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One-dimensional long-range ferromagnetic ising model under weak and sparse external field
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 ...
Ground states of one-dimensional long-range ferromagnetic ising model with external field
(World Scientific Publishing, 2012)
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 ...
The one-dimensional long-range ferromagnetic Ising model with a periodic external field
We consider the one-dimensional ferromagnetic Ising model with very long-range interaction under a periodic, biased and weak external field and prove that at sufficiently low temperatures the model has a unique limiting ...