The Ising Model on the Random Planar Causal Triangulation: Bounds on the Critical Line and Magnetization Properties
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The Ising Model on the Random Planar Causal Triangulation : Bounds on the Critical Line and Magnetization Properties. / Napolitano, George M.; Turova, Tatyana S.
I: Journal of Statistical Physics, Bind 162, Nr. 3, 01.02.2016, s. 739-760.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - The Ising Model on the Random Planar Causal Triangulation
T2 - Bounds on the Critical Line and Magnetization Properties
AU - Napolitano, George M.
AU - Turova, Tatyana S.
PY - 2016/2/1
Y1 - 2016/2/1
N2 - We investigate a Gibbs (annealed) probability measure defined on Ising spin configurations on causal triangulations of the plane. We study the region where such measure can be defined and provide bounds on the boundary of this region (critical line). We prove that for any finite random triangulation the magnetization of the central spin is sensitive to the boundary conditions. Furthermore, we show that in the infinite volume limit, the magnetization of the central spin vanishes for values of the temperature high enough.
AB - We investigate a Gibbs (annealed) probability measure defined on Ising spin configurations on causal triangulations of the plane. We study the region where such measure can be defined and provide bounds on the boundary of this region (critical line). We prove that for any finite random triangulation the magnetization of the central spin is sensitive to the boundary conditions. Furthermore, we show that in the infinite volume limit, the magnetization of the central spin vanishes for values of the temperature high enough.
KW - Gibbs measure
KW - Ising model
KW - Random graphs
U2 - 10.1007/s10955-015-1430-7
DO - 10.1007/s10955-015-1430-7
M3 - Journal article
AN - SCOPUS:84955448710
VL - 162
SP - 739
EP - 760
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
SN - 0022-4715
IS - 3
ER -
ID: 194769569