Open Access
Translator Disclaimer
April, 2016 Hydrodynamic limit for a certain class of two-species zero-range processes
Kenkichi TSUNODA
J. Math. Soc. Japan 68(2): 885-898 (April, 2016). DOI: 10.2969/jmsj/06820885


Großkinsky and Spohn [5] studied several-species zero-range processes and gave a necessary and sufficient condition for translation invariant measures to be invariant under such processes. Based on this result, they investigated the hydrodynamic limit. In this paper, we consider a certain class of two-species zero-range processes which are outside of the family treated by Großkinsky and Spohn. We prove a homogenization property for a tagged particle and apply it to derive the hydrodynamic limit under the diffusive scaling.


Download Citation

Kenkichi TSUNODA. "Hydrodynamic limit for a certain class of two-species zero-range processes." J. Math. Soc. Japan 68 (2) 885 - 898, April, 2016.


Published: April, 2016
First available in Project Euclid: 15 April 2016

zbMATH: 1342.60175
MathSciNet: MR3488151
Digital Object Identifier: 10.2969/jmsj/06820885

Primary: 60K35
Secondary: 82C41 , 92D25

Keywords: cross-diffusion system , Hydrodynamic limit , Zero-range process

Rights: Copyright © 2016 Mathematical Society of Japan


Vol.68 • No. 2 • April, 2016
Back to Top