有哪些信誉好的足球投注网站ants in a labyrinth a statistical mechanics approach to the division of labour蚂蚁在一个迷宫的统计力学方法分工.pdfVIP
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ants in a labyrinth a statistical mechanics approach to the division of labour蚂蚁在一个迷宫的统计力学方法分工
Ants in a Labyrinth: A Statistical Mechanics Approach to
the Division of Labour
1,2 3,4 2 3,5
Thomas Owen Richardson *, Kim Christensen , Nigel Rigby Franks , Henrik Jeldtoft Jensen ,
Ana Blagovestova Sendova-Franks1
1 Department of Engineering, Design and Mathematics, University of the West of England, Bristol, United Kingdom, 2 School of Biological Sciences, University of Bristol,
Bristol, United Kingdom, 3 Institute for Mathematical Sciences, Imperial College London, London, United Kingdom, 4 Department of Physics, Imperial College London,
London, United Kingdom, 5 Department of Mathematics, Imperial College London, London, United Kingdom
Abstract
Division of labour (DoL) is a fundamental organisational principle in human societies, within virtual and robotic swarms and
at all levels of biological organisation. DoL reaches a pinnacle in the insect societies where the most widely used model is
based on variation in response thresholds among individuals, and the assumption that individuals and stimuli are well-
mixed. Here, we present a spatially explicit model of DoL. Our model is inspired by Pierre de Gennes’ ’Ant in a Labyrinth’
which laid the foundations of an entire new field in statistical mechanics. We demonstrate the emergence, even in a
simplified one-dimensional model, of a spatial patterning of individuals and a right-skewed activity distribution, both of
which are characteristics of division of labour in animal societies. We then show using a two-dimensional model that the
work done by an individual within an activity bout is a sigmoidal function of its response threshold. Furthermore, there is an
inverse relationship between the overa
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