On explicit steady-state solutions of Fokker-Planck equations for a class of nonlinear feedback systems

1998 ◽  
Author(s):  
R.W. Brockett ◽  
D. Liberzon
Keyword(s):  
Steady State ◽  
Nonlinear Feedback ◽  
Feedback Systems ◽  
Fokker Planck Equations ◽  
Steady State Solutions ◽  
Fokker Planck ◽  
Nonlinear Feedback Systems

The lattice Fokker–Planck equation for models of wealth distribution

2020 ◽  
Vol 378 (2175) ◽  
pp. 20190401
Author(s):  
Shaurya Kaushal ◽  
Santosh Ansumali ◽  
Bruce Boghosian ◽  
Merek Johnson
Keyword(s):  
Steady State ◽  
Soft Matter ◽  
Wealth Distribution ◽  
Planck Equation ◽  
Agent Based ◽  
Non Local ◽  
Free Parameters ◽  
Fokker Planck Equations ◽  
Steady State Solutions ◽  
Fokker Planck

Recent work on agent-based models of wealth distribution has yielded nonlinear, non-local Fokker–Planck equations whose steady-state solutions describe empirical wealth distributions with remarkable accuracy using only a few free parameters. Because these equations are often used to solve the ‘inverse problem’ of determining the free parameters given empirical wealth data, there is much impetus to find fast and accurate methods of solving the ‘forward problem’ of finding the steady state corresponding to given parameters. In this work, we derive and calibrate a lattice Boltzmann equation for this purpose. This article is part of the theme issue ‘Fluid dynamics, soft matter and complex systems: recent results and new methods’.

Sign in / Sign up

Export Citation Format

Share Document