Nose equation for a one-dimensional oscillator: Resonance zones and the transition to large-scale irregular dynamics
Journal Article
·
· Phys. Rev. A; (United States)
Recently, attempts have been made to alter the equation of motion of a multiparticle system so that the temperature rather than the energy is constant. Nose introduced a modified multiparticle equation of motion involving an auxiliary equation with a free parameter Q. We consider the Nose-Hoover equation for a one-dimensional oscillator as the equation of motion for a coupled oscillator system with two degrees of freedom. For different values of Q, we consider the dynamics in the four-dimensional phase space by examining two-dimensional surfaces of section. We show that the overlapping of resonance zones causes a transition to large-scale irregular dynamics for a limited range of Q.
- Research Organization:
- Department of Chemistry, The University of Ottawa, Ottawa, Canada K1N 9B4
- OSTI ID:
- 7087598
- Journal Information:
- Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 38:6; ISSN PLRAA
- Country of Publication:
- United States
- Language:
- English
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37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
400201* -- Chemical & Physicochemical Properties
640302 -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
74 ATOMIC AND MOLECULAR PHYSICS
CHEMICAL REACTION KINETICS
DIFFERENTIAL EQUATIONS
ELECTRONIC EQUIPMENT
ELEMENTS
ENERGY
EQUATIONS
EQUATIONS OF MOTION
EQUIPMENT
HYDROGEN
INTERACTIONS
ISOTHERMAL PROCESSES
KINETIC ENERGY
KINETICS
MOLECULES
NONMETALS
OSCILLATORS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
POTENTIAL ENERGY
REACTION KINETICS
TESTING
VALIDATION
400201* -- Chemical & Physicochemical Properties
640302 -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
74 ATOMIC AND MOLECULAR PHYSICS
CHEMICAL REACTION KINETICS
DIFFERENTIAL EQUATIONS
ELECTRONIC EQUIPMENT
ELEMENTS
ENERGY
EQUATIONS
EQUATIONS OF MOTION
EQUIPMENT
HYDROGEN
INTERACTIONS
ISOTHERMAL PROCESSES
KINETIC ENERGY
KINETICS
MOLECULES
NONMETALS
OSCILLATORS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
POTENTIAL ENERGY
REACTION KINETICS
TESTING
VALIDATION