Measuring thermodynamic length

Details Measuring thermodynamic length Measuring thermodynamic length

2007-06-04

arxiv.org/abs/0706.0559v2

Phys. Rev. Lett. 99 100602 (2007)

Physics

Condensed Matter

Statistical Mechanics

4 pages; Typos corrected

Scientific paper

10.1103/PhysRevLett.99.100602

Thermodynamic length is a metric distance between equilibrium thermodynamic states. Among other interesting properties, this metric asymptotically bounds the dissipation induced by a finite time transformation of a thermodynamic system. It is also connected to the Jensen-Shannon divergence, Fisher information and Rao's entropy differential metric. Therefore, thermodynamic length is of central interest in understanding matter out-of-equilibrium. In this paper, we will consider how to define thermodynamic length for a small system described by equilibrium statistical mechanics and how to measure thermodynamic length within a computer simulation. Surprisingly, Bennett's classic acceptance ratio method for measuring free energy differences also measures thermodynamic length.

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