Nonequilibrium Equality for Free Energy Differences.¶
Jarzynski, C. (1997). Nonequilibrium Equality for Free Energy Differences. Physical Review Letters, 78(14), 2690-2693.
Cited by¶
3 citations across 3 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Dissipation
- Thermodynamics & statistical mechanics: The second law's source of asymmetry; entropy production rates in non-equilibrium processes; Carnot efficiency limits derived from dissipative inevitability; fluctuation theorems relating forward and reverse trajectories through the entropy produced, as Jarzynski (1997) formalized in his equality relating free-energy differences to dissipated work along non-equilibrium paths.
This sourceProves the Jarzynski equality, relating non-equilibrium work measurements to free-energy differences; underpins fluctuation theorems relating forward and reverse trajectories through the entropy produced (dissipated work), a modern rigorous statement of the second law for small systems and finite times.
Supported in partVerified against the work's full text
Jarzynski derives the equality tying free-energy differences to non-equilibrium work and defines dissipated work, but has no forward/reverse-trajectory theorem, Carnot limits or second-law asymmetry.
“The difference W − ∆F is just the dissipated work, Wdiss,”
- Thermodynamics & statistical mechanics: The second law's source of asymmetry; entropy production rates in non-equilibrium processes; Carnot efficiency limits derived from dissipative inevitability; fluctuation theorems relating forward and reverse trajectories through the entropy produced, as Jarzynski (1997) formalized in his equality relating free-energy differences to dissipated work along non-equilibrium paths.
- Irreversibility
- Fluctuation theorems (Jarzynski
This sourceProves Jarzynski equality, relating non-equilibrium work measurements to free energy; establishes fluctuation theorems showing small-system entropy fluctuations below second-law bound; modern rigorous statement of second law for small systems and finite times.
- Fluctuation theorems (Jarzynski
- Second Law of Thermodynamics
- Modern fluctuation theorems
This sourceProves Jarzynski equality, relating non-equilibrium work measurements to free energy; establishes fluctuation theorems showing small-system entropy fluctuations below second-law bound; modern rigorous statement of second law for small systems and finite times.
Supported in partVerified against the work's full text
Jarzynski derives an exact work-fluctuation equality for finite systems and notes nanoscale systems as the test bed; the text never uses the term "fluctuation theorem".
“the ensemble average of exp −βW may be dominated by values of W many standard de- viations below W”
- Modern fluctuation theorems
Verification¶
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