TY - JOUR
T1 - Growth-induced breaking and unbreaking of ergodicity in fully-connected spin systems
AU - Morris, Richard G.
AU - Rogers, Tim
PY - 2014/8/12
Y1 - 2014/8/12
N2 - Two canonical models of statistical mechanics, the fully-connected voter and Glauber-Ising models, are modified to incorporate growth via the addition or replication of spins. The resulting behaviour is examined in a regime where the timescale of expansion cannot be separated from that of the internal dynamics. Depending on the model specification, growth radically alters the long-time dynamical behaviour by breaking or unbreaking ergodicity.
AB - Two canonical models of statistical mechanics, the fully-connected voter and Glauber-Ising models, are modified to incorporate growth via the addition or replication of spins. The resulting behaviour is examined in a regime where the timescale of expansion cannot be separated from that of the internal dynamics. Depending on the model specification, growth radically alters the long-time dynamical behaviour by breaking or unbreaking ergodicity.
UR - http://www.scopus.com/inward/record.url?scp=84906544688&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1088/1751-8113/47/34/342003
U2 - 10.1088/1751-8113/47/34/342003
DO - 10.1088/1751-8113/47/34/342003
M3 - Article
AN - SCOPUS:84906544688
SN - 1751-8113
VL - 47
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 34
M1 - 342003
ER -