Statistical mechanics of a neurobiological dynamical system: The spectrum of local entropies (S(α)) applied to cocaine-perturbed behavior

Martin P. Paulus, Mark A. Geyer and Arnold J. Mandell

Physica A: Statistical Mechanics and its Applications, 1991, vol. 174, issue 2, 567-577

Abstract: The singularity spectrum of local entropies (S(α)) computed from the microcanonical dynamical partition function is used to describe the sequential dynamical structure of rat locomotor paths under the influence of cocaine. The approach used was analogous to the microcanonical ensemble of statistical mechanics and permitted the sensitive detection of “phase-transition”-like behavior. The results suggest that the behavioral sequences exhibited by the rats are determined by two processes, each with its own entropy (αi, αh). The processes are changed simultaneously by cocaine, suggesting that they coexist as local repellers with overlapping insets and undergo a change to first order phase transition.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:174:y:1991:i:2:p:567-577

DOI: 10.1016/0378-4371(91)90349-H

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