Skip to main content
eScholarship
Open Access Publications from the University of California

CORTICAL PHASE TRANSITIONS, NONEQUILIBRIUM THERMODYNAMICS AND THE TIME-DEPENDENT GINZBURG LANDAU EQUATION

  • Author(s): Freeman, Walter J.
  • Livi, Robert
  • Obinata, Masashi
  • Vitiello, Giuseppe
  • et al.
Creative Commons Attribution 4.0 International Public License
Abstract

The formation of amplitude modulated and phase modulated assemblies of neurons is observed in the brain functional activity. The study of the formation of such structures requires that the analysis has to be organized in hierarchical levels, microscopic, meso- scopic, macroscopic, each with its characteristic space-time scales and the various forms of energy, electric, chemical, thermal produced and used bythe brain. In this paper, we discuss the microscopic dynamics underlying the mesoscopic and the macroscopic levels and focus our attention on the thermodynamics of the nonequilibrium phase transitions. We obtain the time-dependent Ginzburg–Landau equation forthe nonstationary regime and consider the formation of topologically nontrivial structures such as the vortex solution. The power laws observed in functional activities of the brain is also discussed and related to coherent states characterizing the many-body dissipative model of brain. 

Many UC-authored scholarly publications are freely available on this site because of the UC Academic Senate's Open Access Policy. Let us know how this access is important for you.

Main Content
Current View