Ergodicity of Thermostat Family of Nosé--Hoover type

Details Ergodicity of Thermostat Family of Nosé--Hoover type Ergodicity of Thermostat Family of Nosé--Hoover type

2006-12-11

arxiv.org/abs/cond-mat/0612248v2

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures, Submitted to Phys. Rev. E. New results were added

Scientific paper

One-variable thermostats are studied as a generalization of the Nos\'e--Hoover method which is aimed to achieve Gibbs' canonical distribution with conserving the time-reversibility. A condition for equations of motion for the system with the thermostats is derived in the form of a partial differential equation. Solutions of this equation construct a family of thermostats including the Nos\'e--Hoover method as the minimal solution. It is shown that the one-variable thermostat coupled with the one-dimensional harmonic oscillator loses its ergodicity with large enough relaxation time. The present result suggests that multi-variable thermostats are required to assure the ergodicity and to work as heatbath.

Affiliated with

Also associated with

No associations

Rating

Ergodicity of Thermostat Family of Nosé--Hoover type does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ergodicity of Thermostat Family of Nosé--Hoover type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ergodicity of Thermostat Family of Nosé--Hoover type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-182793