# Difference between revisions of "Nosé–Hoover thermostat"

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Virtual laboratory > Nosé–Hoover thermostat

## Description of the model

Nosé–Hoover thermostat is used to keep the temperature constant in the system. Equations of motion of the thermostated harmonic oscillator have the form:

where

• is the eigen frequency
• is the initial kinetic temperature of the system
• is the current kinetic temperature of the system
• is the velocity
• is the relaxation time
• - scale for
• - scale of stiffness for

## Phase-space trajectory of thermostated harmonic oscillator

The plot shows the phase space, i.e. the dependence . The followng three parameters can be changed by the user:

1) tau = is the relaxation time

2) stiff = is the stiffness

3) scale is a scale parameter for a plot

The last slider allows to choose the number of pre-configured experiment.

## References

• S. Nosé (1984). "A unified formulation of the constant temperature molecular-dynamics methods". J. Chem. Phys. 81 (1): 511–519.
• W.G. Hoover, (1985). "Canonical dynamics: Equilibrium phase-space distributions". Phys. Rev. A, 31 (3): 1695–1697.
• D.J. Evans, B.L. Holian (1985) The Nose–Hoover thermostat. J. Chem. Phys. 83, 4069.