Symmetric simple exclusion process: Regularity of the self-diffusion coefficient

Authors
Landim, C Olla, S Varadhan, SRS
Citation
C. Landim et al., Symmetric simple exclusion process: Regularity of the self-diffusion coefficient, COMM MATH P, 224(1), 2001, pp. 307-321
Citations number
6
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN journal
00103616 → ACNP
Volume
224
Issue
1
Year of publication
2001
Pages
307 - 321
Database
ISI
SICI code
0010-3616(200111)224:1<307:SSEPRO>2.0.ZU;2-N
Abstract
We prove that the self-diffusion coefficient of a tagged particle in the sy mmetric exclusion process in Z(d) which is in equilibrium at density alpha, is of class C-infinity as a function of a in the closed interval [0, 1]. T he proof provides also a recursive method to compute the Taylor expansion a t the boundaries.