15 citations · 15 across the 2 of their papers we have counts for
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cond-mat.stat-mech2009
Survival of short-range order in the Ising model on negatively curved surfaces
Yasunori Sakaniwa, Hiroyuki Shima
We examine the ordering behavior of the ferromagnetic Ising lattice model defined on a surface with a constant negative curvature. Small-sized ferromagnetic domains are observed to…
cond-mat.stat-mech2005
The dynamic exponent of the Ising model on negatively curved surfaces
Hiroyuki Shima, Yasunori Sakaniwa
We investigate the dynamic critical exponent of the two-dimensional Ising model defined on a curved surface with constant negative curvature. By using the short-time relaxation met…
cond-mat.stat-mech2005
Geometric effects on critical behaviours of the Ising model
Hiroyuki Shima, Yasunori Sakaniwa
We investigate the critical behaviour of the two-dimensional Ising model defined on a curved surface with a constant negative curvature. Finite-size scaling analysis reveals that t…