Results 51 to 60 of about 42,716 (206)
Stochastic Dynamics From Maximum Entropy in Action Space
ABSTRACT We develop an information‐theoretic formulation of stochastic dynamics in which the fundamental stochastic variable is the total action connecting spacetime points, rather than individual paths. By maximizing Shannon entropy over a joint distribution of actions and endpoints, subject to normalization and a constraint on the mean action, we ...
Fabricio Souza Luiz +3 more
wiley +1 more source
Probability flow solution of the Fokker–Planck equation
The method of choice for integrating the time-dependent Fokker–Planck equation (FPE) in high-dimension is to generate samples from the solution via integration of the associated stochastic differential equation (SDE). Here, we study an alternative scheme
Nicholas M Boffi, Eric Vanden-Eijnden
doaj +1 more source
In‐and‐Out: Algorithmic Diffusion for Sampling Convex Bodies
ABSTRACT We present a new random walk for uniformly sampling high‐dimensional convex bodies. It achieves state‐of‐the‐art runtime complexity with stronger guarantees on the output than previously known, namely in Rényi divergence (which implies TV, 𝒲2, KL, χ2$$ {\chi}^2 $$).
Yunbum Kook +2 more
wiley +1 more source
Stochastic analysis of ocean wave states with and without rogue waves
This work presents an analysis of ocean wave data including rogue waves. A stochastic approach based on the theory of Markov processes is applied. With this analysis we achieve a characterization of the scale-dependent complexity of ocean waves by means ...
A Hadjihosseini, J Peinke, N P Hoffmann
doaj +1 more source
Molecular theory of anomalous diffusion
We present a Master Equation formulation based on a Markovian random walk model that exhibits sub-diffusion, classical diffusion and super-diffusion as a function of a single parameter.
Boon, Jean Pierre, Lutsko, James F.
core +1 more source
Equivalent Linearization Techniques [PDF]
The method of equivalent linearization of Kryloff and Bogoliubov is generalized to the case of nonlinear dynamic systems with random excitation. The method is applied to a variety of problems, and the results are compared with exact solutions of the ...
Caughey, T. K.
core +1 more source
Active Particles in Tunable Compressible Environments
Gold‐capped active microparticles powered by electric fields plough their way through a matrix of repulsive spheres, shoveling them aside. At high densities and field strengths, an initial strong direction fluctuation may compress the matrix asymmetrically and lead to an asymmetric reaction favoring sustained turns to the same side (spontaneous ...
Venkata Manikantha Sai Ganesh Tanuku +5 more
wiley +1 more source
A hybrid algorithm for solving fractional Fokker-Planck equations arising in physics and engineering
In this work, we proposed a hybrid algorithm to approximate the solution of Conformable Fractional Fokker-Planck Equation (CFFPE). This algorithm comprises of unification of two methods named Fractional Wave Transformation Method (FWTM) and Differential ...
Ozan Özkan, Ali Kurt
doaj +1 more source
Parallelizing the Kolmogorov-Fokker-Planck equation [PDF]
We design the first parallel scheme based on Schwarz waveform relaxation methods for the Kolmogorov-Fokker-Planck equation. We introduce a new convergence proof for the algorithms. We also provide results about the existence and uniqueness of a solution for this equation with several boundary conditions, in order to prove that our algorithms are well ...
Luca Gerardo-Giorda, Minh Binh Tran
openaire +3 more sources
Analysis of Chorus Wave Power on Burst‐Mode Timescales During the Van Allen Probes Era
Abstract Interactions between whistler‐mode chorus waves and electrons are a key driver of dynamics in Earth's radiation belts. These global dynamics are often described using Fokker‐Planck diffusion models. Whilst, in many cases, such models effectively describe the large scale changes within the region, they often rely upon spatially and temporally ...
R. Black +4 more
wiley +1 more source

