Published on *Artificial Life Laboratory, Graz, Austria* (http://zool33.uni-graz.at/artlife)

Heiko Hamann [1], Thomas Schmickl [2], Karl Crailsheim [3]

Artificial Life (2013)

**Abstract:**

**Projects:**

Artificial Life (2013)

A grand challenge in the field of artificial life is to find a

general theory of emergent self-organizing systems. In swarm systems

most of the observed complexity is based on motion of simple

entities. Similarly statistical mechanics focuses on collective

properties induced by motion of many interacting particles. In this

paper we apply methods from statistical mechanics to swarm

systems. We try to explain the emergent behavior of a simulated

swarm by applying methods based on the fluctuation

theorem. Empirical results indicate that swarms are able to produce

negative entropy within an isolated sub-system due to `frozen

accidents'. Individuals of a swarm are able to locally detect

fluctuations of the global entropy measure and store them, if they

are negative entropy productions. By accumulating these stored

fluctuations over time the swarm as a whole is producing negative

entropy and the system ends up in an ordered state. We claim that

this indicates the existence of an inverted fluctuation theorem for

emergent self-organizing dissipative systems. This approach bears

the potential of general applicability.

**Links:**

[1] http://zool33.uni-graz.at/artlife/hamann

[2] http://zool33.uni-graz.at/artlife/team/schmickl

[3] http://zool33.uni-graz.at/artlife/crailsheim

[4] http://zool33.uni-graz.at/artlife/cocoro

[5] http://zool33.uni-graz.at/artlife/bee

[6] http://zool33.uni-graz.at/artlife/rebodiment

[7] http://zool33.uni-graz.at/artlife/replicator

[8] http://zool33.uni-graz.at/artlife/SYMBRION