A note on the definition of deformed exponential and logarithm functions
The recent generalizations of the Boltzmann–Gibbs statistics mathematically rely on the deformed logarithmic and exponential functions defined through some deformation parameters. In the present...
The recent generalizations of the Boltzmann–Gibbs statistics mathematically rely on the deformed logarithmic and exponential functions defined through some deformation parameters. In the present...
Nonlinear stability of boundary layer solution to the Boltzmann equation with diffusive effect at the boundary
In this paper, the stability of boundary layer solutions to the Boltzmann equation with diffusive effect at the boundary for hard sphere model is considered. When the Mach number of the far field is l...
In this paper, the stability of boundary layer solutions to the Boltzmann equation with diffusive effect at the boundary for hard sphere model is considered. When the Mach number of the far field is l...
Computation for the canonical measures of a colored disordered lattice gas and spectral gap
J. Math. Phys. 50, 103302 (2009); doi:10.1063/1.3238479
Published 7 October 2009
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In this work we deal with spectral gap and canonical measures related to a model called colored disordered lattice gas. We consider the approach used in the work of Dermoune and Heinrich [“A small step towards the hydrodynamic limit of a colored disordered lattice gas,” C. R. Math. Acad. Sci. 339, 507–511 (2004)]. We suggest a new computation for the canonical measures. Also, we propose the explicit form of the spectral gap for colored disordered lattice gas of exclusion processes which plays an important role in the study of hydrodynamic limit.
©2009 American Institute of Physics
| History: | Received 11 May 2009; accepted 24 August 2009; published 7 October 2009 |
| Permalink: |
http://link.aip.org/link/?JMAPAQ/50/103302/1 |
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REFERENCES (8)
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