TY - JOUR
T1 - Superdiffusivity of occupation-time variance in 2-dimensional asymmetric exclusion processes with density ρ = 1/2
AU - Sethuraman, Sunder
N1 - Funding Information:
∗Research supported in part by NSA H982300510041 and NSF-DMS 0504193. 1396 Carver Hall, Iowa State University, Ames, IA 50011; e-mail: [email protected].
PY - 2006/5
Y1 - 2006/5
N2 - We compute that the growth of the occupation-time variance at the origin up to time t in dimension d = 2 with respect to asymmetric simple exclusion in equilibrium with density ρ = 1/2 is in a certain sense at least tlog (log t) for general rates, and at least t(log t) 1/2 for rates which are asymmetric only in the direction of one of the axes. These estimates give a complement to bounds in the literature when d = 1, and are consistent with an important conjecture with respect to the transition function and variance of "second-class" particles.
AB - We compute that the growth of the occupation-time variance at the origin up to time t in dimension d = 2 with respect to asymmetric simple exclusion in equilibrium with density ρ = 1/2 is in a certain sense at least tlog (log t) for general rates, and at least t(log t) 1/2 for rates which are asymmetric only in the direction of one of the axes. These estimates give a complement to bounds in the literature when d = 1, and are consistent with an important conjecture with respect to the transition function and variance of "second-class" particles.
KW - Second-class particle
KW - Secondary 60F05
KW - Simple exclusion AMS (2000) subject classifications: Primary 60K35
KW - Variance of occupation times
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U2 - 10.1007/s10955-006-9061-7
DO - 10.1007/s10955-006-9061-7
M3 - Article
AN - SCOPUS:33747711339
SN - 0022-4715
VL - 123
SP - 787
EP - 802
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
IS - 4
ER -