Oscillations and multiscale dynamics in a closed chemical reaction system: Second law of thermodynamics and temporal complexity | Zendy

Yongfeng Li | Zendy; Hong Qian | Zendy; Yingfei Yi | Zendy

Open Access

Oscillations and multiscale dynamics in a closed chemical reaction system: Second law of thermodynamics and temporal complexity

Author(s) -

Yongfeng Li,

Hong Qian,

Yingfei Yi

Publication year - 2008

Publication title -

the journal of chemical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.071

H-Index - 357

eISSN - 1089-7690

pISSN - 0021-9606

DOI - 10.1063/1.2995855

Subject(s) - dissipative system , second law of thermodynamics , non equilibrium thermodynamics , closed system (control theory) , physics , nonlinear system , oscillation (cell signaling) , lyapunov function , thermodynamics , dynamics (music) , statistical physics , isothermal process , extended irreversible thermodynamics , classical mechanics , chemistry , quantum mechanics , biochemistry , acoustics

We investigate the oscillatory reaction dynamics in a closed isothermal chemical system: the reversible Lotka-Volterra model. The second law of thermodynamics dictates that the system ultimately reaches an equilibrium. Quasistationary oscillations are analyzed while the free energy of the system serves as a global Lyapunov function of the dissipative dynamics. A natural distinction between regions near and far from equilibrium in terms of the free energy can be established. The dynamics is analogous to a nonlinear mechanical system with time-dependent increasing damping. Near equilibrium, no oscillation is possible as dictated by Onsager's reciprocal symmetry relation. We observe that while the free energy decreases in the closed system's dynamics, it does not follow the steepest descending path.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research