Linear non-equilibrium thermodynamics of human voluntary behavior: a canonical-dissipative Fokker-Planck equation approach involving potentials beyond the harmonic oscillator case
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 pendu...
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| Дата: | 2016 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2016
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/156223 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Linear non-equilibrium thermodynamics of human voluntary behavior: a canonical-dissipative Fokker-Planck equation approach involving potentials beyond the harmonic oscillator case / J.M. Gordon, S. Kim, T.D. Frank // Condensed Matter Physics. — 2016. — Т. 19, № 3. — С. 34001: 1–6. — Бібліогр.: 16 назв. — англ. |
Репозитарії
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irk-123456789-1562232019-06-19T01:25:32Z Linear non-equilibrium thermodynamics of human voluntary behavior: a canonical-dissipative Fokker-Planck equation approach involving potentials beyond the harmonic oscillator case Gordon, J.M. Kim, S. Frank, T.D. 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 Представлено нову експериментальну парадигму та новий пiдхiд до моделювання роботи осциляторного людського двигуна з допомогою ключового концепту фiзики конденсованої речовини, а саме — змiнних термодинамiчного стану. Для цього в новiй експериментальнiй парадигмi учасники здiйснювали маятниковi коливнi рухи з особисто вибраними частотами, що вiдмiнне вiд попереднiх дослiджень, де використовувалися синхронiзуючi сигнали. У новому пiдходi моделювання використано канонiчно-дисипативну границю циклiчно осциляцiйної моделi з консервативною частиною, що враховує негармонiчнi коливнi компоненти — у цьому iнша вiдмiннiсть вiд попереднiх дослiджень, у яких розглядалися лише гармонiчнi компоненти. В узгодженнi з теорiєю Ландау магнiтних фазових переходiв ми знайшли, що вiльна енергiя осциляцiйної моделi зменшується, коли учасники пiдтримують коливання з вiддаленням вiд точки бiфуркацiї Хопфа для канонiчно-дисипативної границi циклiчного осцилятора. 2016 Article Linear non-equilibrium thermodynamics of human voluntary behavior: a canonical-dissipative Fokker-Planck equation approach involving potentials beyond the harmonic oscillator case / J.M. Gordon, S. Kim, T.D. Frank // Condensed Matter Physics. — 2016. — Т. 19, № 3. — С. 34001: 1–6. — Бібліогр.: 16 назв. — англ. 1607-324X PACS: 05.40.Jc, 05.45.-a, 05.70.Ce, 05.70.Ln, 64.70.qd, 87.19.rs DOI:10.5488/CMP.19.34001 arXiv:1611.00285 http://dspace.nbuv.gov.ua/handle/123456789/156223 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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 |
| format |
Article |
| author |
Gordon, J.M. Kim, S. Frank, T.D. |
| spellingShingle |
Gordon, J.M. Kim, S. Frank, T.D. Linear non-equilibrium thermodynamics of human voluntary behavior: a canonical-dissipative Fokker-Planck equation approach involving potentials beyond the harmonic oscillator case Condensed Matter Physics |
| author_facet |
Gordon, J.M. Kim, S. Frank, T.D. |
| author_sort |
Gordon, J.M. |
| title |
Linear non-equilibrium thermodynamics of human voluntary behavior: a canonical-dissipative Fokker-Planck equation approach involving potentials beyond the harmonic oscillator case |
| title_short |
Linear non-equilibrium thermodynamics of human voluntary behavior: a canonical-dissipative Fokker-Planck equation approach involving potentials beyond the harmonic oscillator case |
| title_full |
Linear non-equilibrium thermodynamics of human voluntary behavior: a canonical-dissipative Fokker-Planck equation approach involving potentials beyond the harmonic oscillator case |
| title_fullStr |
Linear non-equilibrium thermodynamics of human voluntary behavior: a canonical-dissipative Fokker-Planck equation approach involving potentials beyond the harmonic oscillator case |
| title_full_unstemmed |
Linear non-equilibrium thermodynamics of human voluntary behavior: a canonical-dissipative Fokker-Planck equation approach involving potentials beyond the harmonic oscillator case |
| title_sort |
linear non-equilibrium thermodynamics of human voluntary behavior: a canonical-dissipative fokker-planck equation approach involving potentials beyond the harmonic oscillator case |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156223 |
| citation_txt |
Linear non-equilibrium thermodynamics of human voluntary behavior: a canonical-dissipative Fokker-Planck equation approach involving potentials beyond the harmonic oscillator case / J.M. Gordon, S. Kim, T.D. Frank // Condensed Matter Physics. — 2016. — Т. 19, № 3. — С. 34001: 1–6. — Бібліогр.: 16 назв. — англ. |
| series |
Condensed Matter Physics |
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2023-05-20T17:49:12Z |
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