Linear non-equilibrium thermodynamics of human voluntary behavior: a canonical-dissipative Fokker-Planck equation approach involving potentials beyond the harmonic oscillator case

TL;DR

This paper introduces a new experimental and modeling framework to analyze human oscillatory motor behavior using thermodynamic concepts and nonharmonic oscillator models, revealing energy decay patterns related to bifurcation proximity.

Contribution

It presents a novel experimental paradigm and a canonical-dissipative oscillator model incorporating nonharmonic components, advancing understanding of human motor oscillations beyond harmonic assumptions.

Findings

Oscillatory performance varies with self-selected frequencies.

Free energy decreases as oscillations move away from bifurcation.

Model aligns with Landau theory of phase transitions.

Abstract

A novel experimental paradigm and a novel modelling approach are presented to investigate oscillatory human motor performance by means of a key concept from condensed matter physics, namely, thermodynamic state variables. To this end, in the novel experimental paradigm participants performed pendulum swinging movements at self-selected oscillation frequencies in contrast to earlier studies in which pacing signals were used. Moreover, in the novel modelling approach, a canonical-dissipative limit cycle oscillator model was used with a conservative part that accounts for nonharmonic oscillator components in contrast to earlier studies in which only harmonic components were considered. Consistent with the Landau theory of magnetic phase transitions, we found that the oscillator model free energy decayed when participants performed oscillations further and further away from the Hopf bifurcation point of the canonical-dissipative limit cycle oscillator.