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Equilibrium Fluctuations of Nongradient Reversible Particle Systems

  • Chih-Chung Chang
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 77)

Abstract

By taking the generalized symmetric exclusion process as an example, we present a unified martingale approach to study the equilibrium fluctuations of nongradient reversible interacting particle systems. The hydrodynamic limit of the generalized symmetric exclusion process has been derived by Kipnis, Landim, and 011a. We show that the limit of the density fluctuation fields of this process is an infinite dimensional Ornstein-Uhlenbeck process.

Keywords

Central Limit Theorem Hydrodynamic Limit Uhlenbeck Process Reversible System Martingale Problem 
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Copyright information

© Springer-Verlag New York, Inc. 1996

Authors and Affiliations

  • Chih-Chung Chang
    • 1
  1. 1.Department of MathematicsNational Taiwan UniversityTaipeiTaiwan R.O.C.

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