Characteristics of ant-inspired traffic flow

We investigate the organization of traffic flow on preexisting uni- and bidirectional ant trails. Our investigations comprise a theoretical as well as an empirical part. We propose minimal models of uni- and bi-directional traffic flow implemented as cellular automata. Using these models, the spatio-temporal organization of ants on the trail is studied. Based on this, some unusual flow characteristics which differ from those known from other traffic systems, like vehicular traffic or pedestrians dynamics, are found. The theoretical investigations are supplemented by an empirical study of bidirectional traffic on a trail of Leptogenys processionalis. Finally, we discuss some plausible implications of our observations from the perspective of flow optimization.

[1]  M. Burd,et al.  Traffic Dynamics of the Leaf‐Cutting Ant, Atta cephalotes , 2002, The American Naturalist.

[2]  A. Schadschneider,et al.  Statistical physics of vehicular traffic and some related systems , 2000, cond-mat/0007053.

[3]  Debashish Chowdhury,et al.  A cellular-automata model of flow in ant trails: non-monotonic variation of speed with density , 2002 .

[4]  D. de Cogan,et al.  Cellular Automata Modelling of Physical Systems, by Bastien Chopard & Michel Droz, Cambridge University Press (Aléa Saclay Collection), 336 pp., ISBN 0‐521‐46168‐5, hardback, £55 , 2000 .

[5]  G. Schütz.  1 – Exactly Solvable Models for Many-Body Systems Far from Equilibrium , 2001 .

[6]  H. Stanley,et al.  Phase Transitions and Critical Phenomena , 2008 .

[7]  V. Fourcassié,et al.  Crowding increases foraging efficiency in the leaf-cutting ant Atta colombica , 2007, Insectes Sociaux.

[8]  K. Nishinari,et al.  Collective Traffic-like Movement of Ants on a Trail: Dynamical Phases and Phase Transitions , 2004 .

[9]  J. Howard,et al.  Mechanics of Motor Proteins and the Cytoskeleton , 2001 .

[10]  Evacuation Dynamics,et al.  Pedestrian and evacuation dynamics 2005 , 2007 .

[11]  Joachim Krug,et al.  LETTER TO THE EDITOR: Phase transitions in driven diffusive systems with random rates , 1996 .

[12]  Debashish Chowdhury,et al.  Traffic on Bidirectional Ant Trails: Coarsening Behaviour and Fundamental Diagrams , 2007 .

[13]  Debashish Chowdhury,et al.  Self-organized patterns and traffic flow in Colonies of organisms: from bacteria and social insects to vertebrates , 2004, q-bio/0401006.

[14]  R. Matthews,et al.  Ants. , 1898, Science.

[15]  Alexander John,et al.  Collective effects in traffic on bi-directional ant trails. , 2004, Journal of theoretical biology.

[16]  Barbara Webb,et al.  Swarm Intelligence: From Natural to Artificial Systems , 2002, Connect. Sci..

[17]  Adolf D. May,et al.  Traffic Flow Fundamentals , 1989 .

[18]  Michael Schreckenberg,et al.  Traffic and Granular Flow ' 05 , 2007 .

[19]  Alexander John,et al.  Traffic on bi-directional ant-trails , 2007 .

[20]  Andreas Schadschneider,et al.  From ant trails to pedestrian dynamics , 2003 .

[21]  F. Ratnieks,et al.  Communication in ants , 2006, Current Biology.

[22]  Martin Burd,et al.  Ecological consequences of traffic organisation in ant societies , 2006 .

[23]  Alexander John,et al.  Physics of Traffic on Ant Trails and Related Systems , 2006 .

[24]  I D Couzin,et al.  Self-organized lane formation and optimized traffic flow in army ants , 2003, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[25]  Bastien Chopard,et al.  Cellular Automata Modeling of Physical Systems: Index , 1998 .

[26]  Louis F. Rossi,et al.  A mathematical and experimental study of ant foraging line dynamics , 2005 .

[27]  Andreas Schadschneider,et al.  Evacuation Dynamics: Empirical Results, Modeling and Applications , 2008, Encyclopedia of Complexity and Systems Science.

[28]  Dirk Helbing,et al.  Optimal traffic organization in ants under crowded conditions , 2004, Nature.

[29]  D. Wolf,et al.  Traffic and Granular Flow , 1996 .

[30]  Michael Schreckenberg,et al.  A cellular automaton model for freeway traffic , 1992 .

[31]  G. Theraulaz,et al.  Inspiration for optimization from social insect behaviour , 2000, Nature.

[32]  Mustansir Barma,et al.  STEADY STATE AND DYNAMICS OF DRIVEN DIFFUSIVE SYSTEMS WITH QUENCHED DISORDER , 1997 .

[33]  M. W. Moffett.  Ants that go with the flow: a new method of orientation by mass communication , 2004, Naturwissenschaften.

[34]  Jean-Louis Deneubourg,et al.  Temporal organization of bi-directional traffic in the ant Lasius niger (L.) , 2005, Journal of Experimental Biology.

[35]  Hubert Klüpfel,et al.  Evacuation Dynamics: Empirical Results, Modeling and Applications , 2009, Encyclopedia of Complexity and Systems Science.

[36]  Katie Johnson,et al.  A mathematical and experimental study of ant foraging trail dynamics. , 2006, Journal of theoretical biology.