Quantitative Bounds on the Rate of Approach to Equilibrium for some One-Dimensional Stochastic Non-Linear Schrödinger Equations
نویسندگان
چکیده
We establish quantitative bounds on the rate of approach to equilibrium for a system with infinitely many degrees of freedom evolving according to a one-dimensional focusing nonlinear Schrödinger equation with diffusive forcing. Equilibrium is described by a generalized grand canonical ensemble. Our analysis also applies to the easier case of defocusing nonlinearities. .
منابع مشابه
Ergodicity for the Weakly Damped Stochastic Non-linear Schrödinger Equations
We study a damped stochastic non-linear Schrödinger (NLS) equation driven by an additive noise. It is white in time and smooth in space. Using a coupling method, we establish convergence of the Markovian transition semi-group toward a unique invariant probability measure. This kind of method was originally developped to prove exponential mixing for strongly dissipative equations such as the Nav...
متن کاملThe Impact of Exchange Rate shocks on Trade Balance of Iran: A Dynamic Stochastic General Equilibrium Approach
The trade balance is one of the most important macroeconomic topics and one of the strategic macroeconomic constraints for developing countries. The exchange rate is recognized as one of the key factors affecting the trade balance of countries. Exchange rate fluctuations, which causes the fluctuations in relative prices, by destabilizing the economic conditions and increasing the inflation woul...
متن کاملA Benders\' Decomposition Based Solution Method for Solving User Equilibrium Problem: Deterministic and Stochastic Cases
The traffic assignment problem is one of the most important problems for analyzing and optimizing the transportation network to find optimal flows. This study presented a new formulation based on a generalized Benders' decomposition approach to solve its important part, i.e. user equilibrium problems, in deterministic and stochastic cases. The new approach decomposed the problem into a master p...
متن کاملA Statistical Study of two Diffusion Processes on Torus and Their Applications
Diffusion Processes such as Brownian motions and Ornstein-Uhlenbeck processes are the classes of stochastic processes that have been investigated by researchers in various disciplines including biological sciences. It is usually assumed that the outcomes of these processes are laid on the Euclidean spaces. However, some data in physical, chemical and biological phenomena indicate that they cann...
متن کاملInvestigating the Effect of Trade Shocks on employment in tradable and non-tradable sectors in Iran: A Dynamic Stochastic General Equilibrium Model (DSGE)
The aim of this paper is the analysis of trade shocks on tradable and non-tradable employment. To do so, a dynamic stochastic general equilibrium model is designed for Iran economy and the sectors of model are tradable, non-tradable and import. The variables related to foreign trade sector are nominal and real exchange rate, the law of one price gap and terms of trade. The structural parameters...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2017