Regularity of the diffusion coefficient matrix for the lattice gas with energy

Yukio Nagahata

Annales de l'I.H.P. Probabilités et statistiques (2005)

  • Volume: 41, Issue: 1, page 45-67
  • ISSN: 0246-0203

How to cite

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Nagahata, Yukio. "Regularity of the diffusion coefficient matrix for the lattice gas with energy." Annales de l'I.H.P. Probabilités et statistiques 41.1 (2005): 45-67. <http://eudml.org/doc/77837>.

@article{Nagahata2005,
author = {Nagahata, Yukio},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
language = {eng},
number = {1},
pages = {45-67},
publisher = {Elsevier},
title = {Regularity of the diffusion coefficient matrix for the lattice gas with energy},
url = {http://eudml.org/doc/77837},
volume = {41},
year = {2005},
}

TY - JOUR
AU - Nagahata, Yukio
TI - Regularity of the diffusion coefficient matrix for the lattice gas with energy
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2005
PB - Elsevier
VL - 41
IS - 1
SP - 45
EP - 67
LA - eng
UR - http://eudml.org/doc/77837
ER -

References

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  1. [1] C. Bernardin, Regularity of the diffusion coefficient for lattice gas reversible under Bernoulli measures, Stochastic Process. Appl.101 (1) (2002) 43-68. Zbl1075.60580MR1921441
  2. [2] C. Kipnis, C. Landim, S. Olla, Hydrodynamic limit for a nongradient system: the generalized symmetric exclusion process, Comm. Pure Appl. Math.47 (11) (1994) 1475-1545. Zbl0814.76003MR1296786
  3. [3] C. Kipnis, S.R.S. Varadhan, Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions, Comm. Math. Phys.104 (1) (1986) 1-19. Zbl0588.60058MR834478
  4. [4] C. Landim, S. Olla, S.R.S. Varadhan, Symmetric simple exclusion process: regularity of the self-diffusion coefficient, Comm. Math. Phys.224 (1) (2001) 307-321. Zbl0994.60093MR1869001
  5. [5] T.M. Liggett, Interacting Particle Systems, Springer, 1985. Zbl1103.82016MR776231
  6. [6] Y. Nagahata, Fluctuation dissipation equation for lattice gas with energy, J. Statist. Phys.110 (1/2) (2003) 219-346. Zbl1014.60092MR1966328
  7. [7] F. Spitzer, Principle of Random Walk, Nostrand, 1964. Zbl0119.34304MR171290
  8. [8] H. Spohn, Large Scale Dynamics of Interacting Particles, Springer, 1991. Zbl0742.76002

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