Nongradient models in hydrodynamic scaling. (English) Zbl 0977.60099

Varadhan, S. R. S.

Bhatia, Rajendra (ed.), Analysis, geometry and probability. Essays in honour of K. R. Parthasarathy. With the assistance of Abhay G. Bhatt. Delhi: Hindustan Book Agency (ISBN 978-81-85931-12-8/hbk; 978-93-80250-87-8/ebook). Texts and Readings in Mathematics 10, 397-416 (1996).

This expository paper explains, by means of some well understood examples, the difference between gradient and nongradient systems in the context of diffusive hydrodynamic scaling limits. Especially, the ideas leading to the nonlinear diffusion equations are carefully examined.
For the entire collection see [Zbl 0939.00053].

Reviewer: Chen Mu-Fa (Beijing)

MSC:

60K35	Interacting random processes; statistical mechanics type models; percolation theory
82C22	Interacting particle systems in time-dependent statistical mechanics

Keywords:

interacting particle systems; hydrodynamic scaling; nongradient system