TY - JOUR
T1 - Monte Carlo study of one-dimensional ising models with long-range interactions
AU - Tomita, Yusuke
PY - 2009/1/1
Y1 - 2009/1/1
N2 - Recently, Fukui and Todo have proposed a new effective Monte Carlo algorithm for long-range interacting systems. Using the algorithm with the nonequilibrium relaxation method, we investigated long-range interacting one-dimensional Ising models both ferromagnetic and antiferromagnetic with the nearest-neighbor ferromagnetic interaction. For the antiferromagnetic model, we found the systems are paramagnetic at finite temperatures.
AB - Recently, Fukui and Todo have proposed a new effective Monte Carlo algorithm for long-range interacting systems. Using the algorithm with the nonequilibrium relaxation method, we investigated long-range interacting one-dimensional Ising models both ferromagnetic and antiferromagnetic with the nearest-neighbor ferromagnetic interaction. For the antiferromagnetic model, we found the systems are paramagnetic at finite temperatures.
KW - Algorithms
KW - Frustration
KW - Long-range interactions
KW - Monte Carlo simulation
UR - http://www.scopus.com/inward/record.url?scp=58549098728&partnerID=8YFLogxK
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U2 - 10.1143/JPSJ.78.014002
DO - 10.1143/JPSJ.78.014002
M3 - Article
AN - SCOPUS:58549098728
SN - 0031-9015
VL - 78
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
IS - 1
M1 - 014002
ER -