Difference between revisions of "Jarzynski equality"

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{{Stub-general}}
 
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The '''Jarzynski equality''' is also known as the ''work relation'' or ''non-equilibrium work relation''.
 
The '''Jarzynski equality''' is also known as the ''work relation'' or ''non-equilibrium work relation''.
 
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According to it, the ''equilibrium'' free energy of a process, <math>\Delta G</math>, can be reconstructed by averaging the external work, <math>W</math>, performed in many nonequilibrium realizations of the process:
 
:<math>\exp \left( \frac{-\Delta G}{k_BT}\right)= \left\langle \exp \left( \frac{-W}{k_BT} \right) \right\rangle</math>
 
:<math>\exp \left( \frac{-\Delta G}{k_BT}\right)= \left\langle \exp \left( \frac{-W}{k_BT} \right) \right\rangle</math>
 
==References==
 
==References==

Revision as of 16:54, 4 February 2008

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The Jarzynski equality is also known as the work relation or non-equilibrium work relation. According to it, the equilibrium free energy of a process, \Delta G, can be reconstructed by averaging the external work, W, performed in many nonequilibrium realizations of the process:

\exp \left( \frac{-\Delta G}{k_BT}\right)= \left\langle \exp \left( \frac{-W}{k_BT} \right) \right\rangle

References

  1. C. Jarzynski "Nonequilibrium Equality for Free Energy Differences", Physical Review Letters 78 2690-2693 (1997)
  2. E. G. D. Cohen; D. Mauzerall "The Jarzynski equality and the Boltzmann factor", Molecular Physics 103 pp. 2923 - 2926 (2005)