Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 142, Issue 5, Pages 952-974Publisher
SPRINGER
DOI: 10.1007/s10955-011-0151-9
Keywords
Inclusion process; Condensation; Brownian energy process; Zero-range process
Categories
Funding
- Hausdorff Research Institute for Mathematics in Bonn
- Engineering and Physical Sciences Research Council [EP/I014799/1] Funding Source: researchfish
- EPSRC [EP/I014799/1] Funding Source: UKRI
Ask authors/readers for more resources
We study condensation in several particle systems related to the inclusion process. For an asymmetric one-dimensional version with closed boundary conditions and drift to the right, we show that all but a finite number of particles condense on the right-most site. This is extended to a general result for independent random variables with different tails, where condensation occurs for the index (site) with the heaviest tail, generalizing also previous results for zero-range processes. For inclusion processes with homogeneous stationary measures we establish condensation in the limit of vanishing diffusion strength in the dynamics, and give several details about how the limit is approached for finite and infinite systems. Finally, we consider a continuous model dual to the inclusion process, the so-called Brownian energy process, and prove similar condensation results.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available