On practical applicability of the Jarzynski relation in statistical mechanics: a pedagogical example

Details On practical applicability of the Jarzynski relation in statistical mechanics: a pedagogical example On practical applicability of the Jarzynski relation in statistical mechanics: a pedagogical example

2005-02-17

arxiv.org/abs/cond-mat/0502434v1

J. Phys. Chem. B. ; (Article); 2005; 109(14); 6805-6811.

Physics

Condensed Matter

Statistical Mechanics

15 pages, 7 figures, submitted to JPC

Scientific paper

10.1021/jp0455428

We suggest and discuss a simple model of an ideal gas under the piston to gain an insight into the workings of the Jarzynski identity connecting the average exponential of the work over the non-equilibrium trajectories with the equilibrium free energy. We show that the Jarzynski identity is valid for our system due to the very rapid molecules belonging to the tail of the Maxwell distribution. For the most interesting extreme, when the system volume is large, while the piston is moving with large speed (compared to thermal velocity) for a very short time, the necessary number of independent experimental runs to obtain a reasonable approximation for the free energy from averaging the non-equilibrium work grows exponentially with the system size.

Affiliated with

Also associated with

No associations

Rating

On practical applicability of the Jarzynski relation in statistical mechanics: a pedagogical example 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 On practical applicability of the Jarzynski relation in statistical mechanics: a pedagogical example, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On practical applicability of the Jarzynski relation in statistical mechanics: a pedagogical example will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-387652