TY - JOUR
T1 - The Gonihedric ising model and glassiness
AU - Johnston, Desmond A.
AU - Lipowski, Adam
AU - Malmini, R. P K C
PY - 2008
Y1 - 2008
N2 - We review a class of 3D lattice spin models in which planar Peierls boundaries between + and - spins can be created at zero energy cost. These so-called Gonihedric Ising models have (in general) specially tuned nearest neighbour, next-to-nearest neighbour and plaquette interactions, which endow the models with some novel properties both in and out of equilibrium. After reviewing the genesis of the models in string theory, we discuss investigations of both their equilibrium and non-equilibrium behaviours by various analytical and numerical means. The purely plaquette variant of the model displays all the standard indications of glassy behaviour without any recourse to quenched disorder, whilst still possessing a crystalline low-temperature phase in equilibrium. © 2008 Springer-Verlag Berlin Heidelberg.
AB - We review a class of 3D lattice spin models in which planar Peierls boundaries between + and - spins can be created at zero energy cost. These so-called Gonihedric Ising models have (in general) specially tuned nearest neighbour, next-to-nearest neighbour and plaquette interactions, which endow the models with some novel properties both in and out of equilibrium. After reviewing the genesis of the models in string theory, we discuss investigations of both their equilibrium and non-equilibrium behaviours by various analytical and numerical means. The purely plaquette variant of the model displays all the standard indications of glassy behaviour without any recourse to quenched disorder, whilst still possessing a crystalline low-temperature phase in equilibrium. © 2008 Springer-Verlag Berlin Heidelberg.
UR - http://www.scopus.com/inward/record.url?scp=37549028482&partnerID=8YFLogxK
U2 - 10.1007/978-3-540-74029-2_7
DO - 10.1007/978-3-540-74029-2_7
M3 - Literature review
SN - 0075-8450
VL - 736
SP - 173
EP - 199
JO - Lecture Notes in Physics
JF - Lecture Notes in Physics
ER -