Explicit solution of the optimal fluctuation problem for an elastic string in a random medium
نویسندگان
چکیده
منابع مشابه
Explicit solution of the optimal fluctuation problem for an elastic string in a random medium.
The free-energy distribution function of an elastic string in a quenched random potential, PL(F) , is investigated with the help of the optimal fluctuation approach. The form of the far-right tail of PL(F) is found by constructing the exact solution of the nonlinear saddle-point equations describing the asymptotic form of the optimal fluctuation. The solution of the problem is obtained for two ...
متن کاملElastic string in a random medium.
We consider a one-dimensional elastic string as a set of massless beads interacting through springs characterized by anisotropic elastic constants. The string, driven by an external force, moves in a medium with quenched disorder. We find that longitudinal fluctuations lead to nonlinear behavior in the equation of motion that is kinematically generated by the motion of the string. The strength ...
متن کاملThermal rounding exponent of the depinning transition of an elastic string in a random medium.
We study numerically thermal effects at the depinning transition of an elastic string driven in a two-dimensional uncorrelated disorder potential. The velocity of the string exactly at the sample critical force is shown to behave as V~T(ψ), with ψ the thermal rounding exponent. We show that the computed value of the thermal rounding exponent, ψ=0.15, is robust and accounts for the different sca...
متن کاملAn Explicit Solution for an Optimal Stopping/optimal Control Problem Which Models an Asset Sale
In this article we study an optimal stopping/optimal control problem which models the decision facing a risk averse agent over when to sell an asset. The market is incomplete so that the asset exposure cannot be hedged. In addition to the decision over when to sell, the agent has to choose a control strategy which corresponds to a feasible wealth process. We formulate this problem as one involv...
متن کاملAn Explicit Single-step Method for Numerical Solution of Optimal Control Problems
In this research we used forward-backward sweep method(FBSM) in order to solve optimal control problems. In this paper, one hybrid method based on ERK method of order 4 and 5 are proposed for the numerical approximation of the OCP. The convergence of the new method has been proved .This method indicate more accurate numerical results compared with those of ERK method of order 4 and 5 for solvin...
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: 2009
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.80.031107