In this section
@article{Wei:2019:10.1103/PhysRevE.100.032116,
author = {Wei, N and Pruessner, G},
doi = {10.1103/PhysRevE.100.032116},
journal = {Physical Review E: Statistical, Nonlinear, and Soft Matter Physics},
pages = {1--6},
title = {Critical density of the Abelian Manna model via a multitype branching process},
url = {http://dx.doi.org/10.1103/PhysRevE.100.032116},
volume = {100},
year = {2019}
}
TY - JOUR
AB - A multitype branching process is introduced to mimic the evolution of the avalanche activity and determine the critical density of the Abelian Manna model. This branching process incorporates partially the spatiotemporal correlations of the activity, which are essential for the dynamics, in particular in low dimensions. An analytical expression for the critical density in arbitrary dimensions is derived, which significantly improves the results over mean-field theories, as confirmed by comparison to the literature on numerical estimates from simulations. The method can easily be extended to lattices and dynamics other than those studied in the present work.
AU - Wei,N
AU - Pruessner,G
DO - 10.1103/PhysRevE.100.032116
EP - 6
PY - 2019///
SN - 1539-3755
SP - 1
TI - Critical density of the Abelian Manna model via a multitype branching process
T2 - Physical Review E: Statistical, Nonlinear, and Soft Matter Physics
UR - http://dx.doi.org/10.1103/PhysRevE.100.032116
UR - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000485200200001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR - https://journals.aps.org/pre/abstract/10.1103/PhysRevE.100.032116
UR - http://hdl.handle.net/10044/1/74660
VL - 100
ER -