Volume 100, Number 3, November 2012
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||20 November 2012|
Absence of detailed balance in ecology
1 Dipartimento di Fisica “G. Galilei”, Università di Padova, CNISM and INFN - via Marzolo 8, 35131 Padova, Italy, EU
2 Institute of Integrative and Comparative Biology, University of Leeds - Miall Building, Leeds LS2 9JT, UK, EU
3 Department of Physics, University of Maryland - College Park, MD 20742, USA
Received: 5 July 2012
Accepted: 16 October 2012
Living systems are typically characterized by irreversible processes. A condition equivalent to the reversibility is the detailed balance, whose absence is an obstacle for analytically solving ecological models. We revisit a promising model with an elegant field-theoretic analytic solution and show that the theoretical analysis is invalid because of an implicit assumption of detailed balance. A signature of the difficulties is evident in the inconsistencies appearing in the many-point correlation functions and in the analytical formula for the species area relationship.
PACS: 87.23.Cc – Population dynamics and ecological pattern formation / 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© EPLA, 2012
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.