Reexamination of experimental tests of the fluctuation theorem
arXiv:cond-mat/0307148 · doi:10.1088/0305-4470/37/1/004
Abstract
The Fluctuation Theorem and the Jarzynski equality are examined in the light of recent experimental tests. For a particle dragged through a solvent, it is shown that the heat exchanged with the reservoir, obeys the asymptotic Fluctuation Theorem but not the Jarzynski equality, due to slowly decaying tails in its distribution. For molecular stretching experiments, substantial corrections to the Jarzynski equality can result from not measuring the force at the end of the molecule that is moved. We also present a proof of the Fluctuation Theorem for Langevin dynamics that is considerably simpler than the standard proof.
Revised version. 9 pages. To appear in Journal of Physics A
References in corpus (1)
Cited by in corpus (49)
- Fluctuation theorems for stochastic dynamics
- Comparison of far-from-equilibrium work relations
- Fluctuation theorem in quantum heat conduction
- Fluctuations in Nonequilibrium Statistical Mechanics: Models, Mathematical Theory, Physical Mechanisms
- Stochastic thermodynamics of active Brownian particles
- Non-equilibrium work fluctuations for oscillators in non-Markovian baths
- Onsager-Machlup theory for nonequilibrium steady states and fluctuation theorems
- Unified Treatment of Quantum Fluctuation Theorem and Jarzynski Equality in Terms of microscopic reversibility
- Fluctuation theorems for harmonic oscillators
- A charged particle in a magnetic field - Jarzynski Equality
- Large deviations of heat flow in harmonic chains
- Active Brownian particles: Entropy production and fluctuation-response
- Entropy production and work fluctuation relations for a single particle in active bath
- On the range of validity of the fluctuation theorem for stochastic Markovian dynamics
- Heat and work fluctuations for a harmonic oscillator
- Work fluctuations for a Brownian particle in a harmonic trap with fluctuating locations
- Jarzynski equality for the Jepsen gas
- Work fluctuations for a harmonic oscillator driven by an external random force
- Nonequilibrium Work distributions for a trapped Brownian particle in a time dependent magnetic field
- Work distribution functions in polymer stretching experiments
- A field-theoretic approach to nonequilibrium work identities
- Langevin dynamics in crossed magnetic and electric fields: Hall and diamagnetic fluctuations
- Work fluctuations for a Brownian particle driven by a correlated external random force
- Stochastic resonance and heat fluctuations in a driven double-well system
- Straightforward quantum-mechanical derivation of the Crooks fluctuation theorem and the Jarzynski equality
- Test of the Fluctuation Relation in lagrangian turbulence on a free surface
- Classical open systems with nonlinear nonlocal dissipation and state-dependent diffusion: Dynamical responses and the Jarzynski equality
- Work distribution functions for hysteresis loops in a single-spin system
- Probability distributions of the work in the 2D-Ising model
- Entropy production by active particles: Coupling of odd and even functions of velocity
- Fluctuation theorems and atypical trajectories
- Onsager-Machlup theory and work fluctuation theorem for a harmonically driven Brownian particle
- Responses to applied forces and the Jarzynski equality in classical oscillator systems coupled to finite baths: An exactly solvable non-dissipative non-ergodic model
- Total entropy production fluctuation theorems in a nonequilibrium time-periodic steady state
- Derivation of the not-so-common fluctuation theorems
- Hierarchical structure of fluctuation theorems for a driven system in contact with multiple heat reservoirs
- Stochastic thermodynamics of macrospins with fluctuating amplitude and direction
- Macrospin in external magnetic field: Entropy production and fluctuation theorems
- Exchange fluctuation theorems for a chain of interacting particles in presence of two heat baths
- Fluctuation theorems for excess and housekeeping heats for underdamped systems
- Nonequilibrium fluctuation theorems in the presence of a time-reversal symmetry-breaking field and nonconservative forces
- The Jarzynski equality in van der Pol and Rayleigh oscillators
- Work probability distribution and tossing a biased coin
- Fluctuation theorems in inhomogenious media under coarse graining
- Classical and Thermodynamic work fluctuations
- Heat statistics in the relaxation process of the Edwards-Wilkinson elastic manifold
- Probing the limits of effective temperature consistency in actively driven systems
- Rotational diffusion under torque: Microscopic reversibility and excess entropy
- Energy fluctuations in a biharmonically driven nonlinear system