State-dependent diffusion: Thermodynamic consistency and its path integral formulation
نویسندگان
چکیده
منابع مشابه
State-dependent diffusion: Thermodynamic consistency and its path integral formulation.
The friction coefficient of a particle can depend on its position, as it does when the particle is near a wall. We formulate the dynamics of particles with such state-dependent friction coefficients in terms of a general Langevin equation with multiplicative noise, whose evaluation requires the introduction of specific rules. Two common conventions, the Ito and the Stratonovich, provide alterna...
متن کاملPath integral control and state-dependent feedback.
In this paper we address the problem of computing state-dependent feedback controls for path integral control problems. To this end we generalize the path integral control formula and utilize this to construct parametrized state-dependent feedback controllers. In addition, we show a relation between control and importance sampling: Better control, in terms of control cost, yields more efficient...
متن کاملCritical Review of Path Integral Formulation
The path integral formulation in quantum mechanics corresponds to the first quantization since it is just to rewrite the quantum mechanical amplitude into many dimensional integrations over discretized coordinates xn. However, the path integral expression cannot be connected to the dynamics of classical mechanics, even though, superficially, there is some similarity between them. Further, the f...
متن کاملThe Path Integral Formulation of Climate Dynamics
The chaotic nature of the atmospheric dynamics has stimulated the applications of methods and ideas derived from statistical dynamics. For instance, ensemble systems are used to make weather predictions recently extensive, which are designed to sample the phase space around the initial condition. Such an approach has been shown to improve substantially the usefulness of the forecasts since it a...
متن کاملDecoupled Path Integral Formulation of Chiral
We analyse the BRST constraints and corresponding Hilbert-space structure of chiral QCD 2 in the decoupled formulation for the case of the Jackiw-Rajaraman parameter a = 2. We show that despite formal similarities this theory is not equivalent to QCD 2 , and that its extension to U (N) does not lead to an infinite vacuum degeneracy.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2007
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.76.011123