Regularity properties of the diffusion coefficient for a mean zero exclusion process

M. Sued

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

  • Volume: 41, Issue: 1, page 1-33
  • ISSN: 0246-0203

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Sued, M.. "Regularity properties of the diffusion coefficient for a mean zero exclusion process." Annales de l'I.H.P. Probabilités et statistiques 41.1 (2005): 1-33. <http://eudml.org/doc/77835>.

@article{Sued2005,
author = {Sued, M.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {regularity of the diffusion coefficient},
language = {eng},
number = {1},
pages = {1-33},
publisher = {Elsevier},
title = {Regularity properties of the diffusion coefficient for a mean zero exclusion process},
url = {http://eudml.org/doc/77835},
volume = {41},
year = {2005},
}

TY - JOUR
AU - Sued, M.
TI - Regularity properties of the diffusion coefficient for a mean zero exclusion process
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2005
PB - Elsevier
VL - 41
IS - 1
SP - 1
EP - 33
LA - eng
KW - regularity of the diffusion coefficient
UR - http://eudml.org/doc/77835
ER -

References

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  3. [3] K. Komoriya, Hydrodynamic limit for asymmetric mean zero exclusion processes with speed change, Ann. Inst. H. Poincaré Probab. Statist.34 (6) (1998) 767-797. Zbl0931.60081MR1653397
  4. [4] C. Landim, Conservation of local equilibrium for attractive particle systems on Z d , Ann. Probab. 21, 1782–1808. Zbl0798.60085MR1245290
  5. [5] C. Landim, S. Olla, H.T. Yau, Some properties of the diffusion coefficient for asymmetric simple exclusion processes, Ann. Probab.24 (1996) 1779-1807. Zbl0872.60078MR1415229
  6. [6] C. Landim, S. Olla, S.R.S. Varadhan, Asymptotic behavior of a tagged particle in simple exclusion processes, Bol. Soc. Bras. Mat.31 (2000) 241-275. Zbl0983.60100MR1817088
  7. [7] C. Landim, S. Olla, S.R.S. Varadhan, On viscosity and fluctuation-dissipation in exclusion processes, preprint. Zbl1329.82079MR2070098
  8. [8] C. Landim, S. Olla, S.R.S. Varadhan, Symmetric simple exclusion process: regularity of the self-diffusion coefficient, Comm. Math. Phys.224 (2001) 307-321. Zbl0994.60093MR1869001
  9. [9] C. Landim, H.T. Yau, Fluctuation-dissipation equation of asymmetric simple exclusion process, Probab. Theory Related Fields108 (1997) 321-356. Zbl0884.60092MR1465163
  10. [10] J. Quastel, Diffusion of color in the simple exclusion process, Comm. Pure Appl. Math. XLV, 623–679. Zbl0769.60097MR1162368
  11. [11] S. Sethuraman, S.R.S. Varadhan, H.T. Yau, Diffusive limit of a tagged particle in asymmetric exclusion process, Comm. Pure Appl. Math.53 (2000) 972-1006. Zbl1029.60084MR1755948
  12. [12] S.R.S. Varadhan, Non-linear diffusion limit for a system with nearest neighbor interactions II, in: Elworthy K.D., Ikeda N. (Eds.), Asymptotic Problems in Probability Theory, Stochastic Models and Diffusion on Fractals, Pitman Research Notes in Mathematics, vol. 283, Wiley, New York, 1994, pp. 75-128. Zbl0793.60105MR1354152
  13. [13] S.R.S. Varadhan, Selfdiffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion, Ann. Inst. Henri Poincaré31 (1) (1995) 273-285. Zbl0816.60093MR1340041
  14. [14] L. Xu, Diffusion limit for the lattice gas with short range interactions, PhD Thesis, New York University, 1993. 
  15. [15] H.T. Yau, Relative entropy and hydrodynamics of Ginzburg–Landau models, Lett. Math. Phys. 22, 63–80. Zbl0725.60120MR1121850

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