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Nonequilibrium Equality for Free Energy Differences
An expression is derived for the equilibrium free energy difference between two configurations of a system, in terms of an ensemble of finite-time measurements of the work performed in parametrically
Equilibrium free-energy differences from nonequilibrium measurements: A master-equation approach
It has recently been shown that the Helmholtz free energy difference between two equilibrium configurations of a system may be obtained from an ensemble of finite-time (nonequilibrium) measurements
Equalities and Inequalities: Irreversibility and the Second Law of Thermodynamics at the Nanoscale
The reason we never observe violations of the second law of thermodynamics is in part a matter of statistics: When ∼1023 degrees of freedom are involved, the odds are overwhelmingly stacked against
Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
It is shown that the Crooks fluctuation theorem can be used to determine folding free energies for folding and unfolding processes occurring in weak as well as strong nonequilibrium regimes, thereby providing a test of its validity under such conditions.
Classical and quantum fluctuation theorems for heat exchange.
The statistics of heat exchange between two classical or quantum finite systems initially prepared at different temperatures are shown to obey a fluctuation theorem.
Good practices in free-energy calculations.
The current best practices for carrying out free- energy calculations using free energy perturbation and nonequilibrium work methods are discussed, demonstrating that at little to no additional cost, free-energy estimates could be markedly improved and bounded by meaningful error estimates.
Hamiltonian Derivation of a Detailed Fluctuation Theorem
We analyze the microscopic evolution of a system undergoing a far-from-equilibrium thermodynamic process. Explicitly accounting for the degrees of freedom of participating heat reservoirs, we derive
Stochastic and Macroscopic Thermodynamics of Strongly Coupled Systems
Thermodynamics describes how macroscopic systems exchange energy in the form of heat and work, yet many microscopic systems such as molecular motors exhibit behavior that seems to follow the same
Rare events and the convergence of exponentially averaged work values.
  • C. Jarzynski
  • Physics
    Physical review. E, Statistical, nonlinear, and…
  • 7 March 2006
There is a simple and intuitively appealing description of these rare but dominant realizations expressed as a duality between "forward" and "reverse" processes, and this description provides both heuristic insights and quantitative estimates regarding the number of realizations needed for convergence of the exponential average.