Path integral analysis of Jarzynski's equality: analytical results.
نویسندگان
چکیده
We apply path integrals to study nonequilibrium work theorems in the context of Brownian dynamics, deriving in particular the equations of motion governing the most typical and most dominant trajectories. For the analytically soluble cases of a moving harmonic potential and a harmonic oscillator with a time-dependent natural frequency, we find such trajectories, evaluate the work-weighted propagators, and validate Jarzynski's equality.
منابع مشابه
Velocity convergence of free energy surfaces from single-molecule measurements using Jarzynski's equality.
We studied the velocity dependence of mechanical unfolding of single protein molecules with the atomic force microscope. We showed that with enough realizations, the free energy surfaces reconstructed from Jarzynski's equality converge with respect to pulling velocity, in good agreement with theory. Using the I27 domain of titin as an example, we estimated the required number of realizations fo...
متن کاملEfficient use of nonequilibrium measurement to estimate free energy differences for molecular systems.
A promising method for calculating free energy differences DeltaF is to generate nonequilibrium data via "fast-growth" simulations or by experiments--and then use Jarzynski's equality. However, a difficulty with using Jarzynski's equality is that DeltaF estimates converge very slowly and unreliably due to the nonlinear nature of the calculation--thus requiring large, costly data sets. The purpo...
متن کاملEquilibrium information from nonequilibrium measurements in an experimental test of Jarzynski's equality.
Recent advances in statistical mechanical theory can be used to solve a fundamental problem in experimental thermodynamics. In 1997, Jarzynski proved an equality relating the irreversible work to the equilibrium free energy difference, DeltaG. This remarkable theoretical result states that it is possible to obtain equilibrium thermodynamic parameters from processes carried out arbitrarily far f...
متن کاملComment on "experimental free energy surface reconstruction from single-molecule force spectroscopy using Jarzynski's equality".
We used the atomic force microscope to manipulate and unfold individual molecules of the titin I27 domain and reconstructed its free energy surface using Jarzynski's equality. The free energy surface for both stretching and unfolding was reconstructed using an exact formula that relates the nonequilibrium work fluctuations to the molecular free energy. In addition, the unfolding free energy bar...
متن کاملReconstructing multiple free energy pathways of DNA stretching from single molecule experiments.
Free energy landscapes provide information on the dynamics of proteins and nucleic acid folding. It has been demonstrated that such landscapes can be reconstructed from single molecule force measurement data using Jarzynski's equality, which requires only stretching data. However, when the process is reversible, the Crooks fluctuation theorem combines both stretch and relaxation force data for ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 79 2 Pt 1 شماره
صفحات -
تاریخ انتشار 2009