Back to Search
Start Over
Duality for a boundary driven asymmetric model of energy transport
- Publication Year :
- 2023
-
Abstract
- We study the Asymmetric Brownian Energy, a model of heat conduction defined on the one-dimensional finite lattice with open boundaries. The system is shown to be dual to the Symmetric inclusion process with absorbing boundaries. The proof relies on a non-local map transformation procedure relating the model to its symmetric version. As an application, we show how the duality relation can be used to analytically compute suitable exponential moments with respect to the stationary measure.<br />Comment: 15 pages, no figure
- Subjects :
- Mathematics - Probability
Mathematical Physics
60K35
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2309.17349
- Document Type :
- Working Paper