scholarly journals Spectral gap and exponential convergence to equilibrium for a multi-species Landau system

2017 ◽  
Vol 141 (6) ◽  
pp. 509-538 ◽  
Author(s):  
Maria Pia Gualdani ◽  
Nicola Zamponi
Keyword(s):  
Spectral Gap ◽  
Exponential Convergence ◽  
Convergence To Equilibrium

On the Swendsen-Wang dynamics. I. Exponential convergence to equilibrium

1991 ◽  
Vol 62 (1-2) ◽  
pp. 117-133 ◽  
Author(s):  
Fabio Martinelli ◽  
Enzo Olivieri ◽  
Elisabetta Scoppola
Keyword(s):  
Exponential Convergence ◽  
Convergence To Equilibrium

Accelerating diffusion on compact Riemannian surfaces by incompressible drift

2016 ◽  
Vol 15 (05) ◽  
pp. 653-666
Author(s):  
Brice Franke ◽  
Nejib Yaakoubi
Keyword(s):  
Incompressible Fluid ◽  
Uniform Distribution ◽  
Vector Fields ◽  
Spectral Gap ◽  
Brownian Particle ◽  
Fluid Motion ◽  
Convergence To Equilibrium ◽  
Two Dimensional ◽  
Riemannian Surfaces ◽  
Divergence Free Vector

We construct divergence free vector-fields on compact Riemannian surfaces which push the spectral gap of some diffusion generator above some prescribed value. The resulting diffusion describes some Brownian particle in a stationary incompressible fluid. The spectral gap is an indicator for the speed at which this diffusion converges toward its equilibrium, which corresponds to the uniform distribution. In other terms, we describe efficient fluid motion, to accelerate the convergence to equilibrium of some Brownian particle in a two-dimensional liquid.

scholarly journals Exponential Convergence to Equilibrium in Cellular Automata Asymptotically Emulating Identity

2014 ◽  
Vol 23 (1) ◽  
pp. 1-26 ◽  
Author(s):  
Henryk Fukś ◽  
◽  
José Manuel Gómez Soto Manuel Gómez Soto
Keyword(s):  
Cellular Automata ◽  
Exponential Convergence ◽  
Convergence To Equilibrium
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