Boltzmann-Enskog limit for equilibrium states of systems of hard spheres in the framework of a canonical ensemble
We prove the existence of the Boltzmann-Enskog limit for an equilibrium system of hard spheres. On the basis of analysis of the Kirkwood-Salsburg equations, we show that the limit distribution functions are constants that can be represented as series in density.
Saved in:
| Date: | 1997 |
|---|---|
| Main Authors: | Lampis, M., Petrina, D. Ya., Лампіс, М., Петрина, Д. Я. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1997
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5118 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Existence of equilibrium states of systems of hard spheres in the Boltzmann-Enskog limit within the frame work of the grand canonical ensemble
by: Petrina, E. D., et al.
Published: (1997)
by: Petrina, E. D., et al.
Published: (1997)
Stochastic dynamics as a limit of Hamiltonian dynamics of hard spheres
by: Lampis, M., et al.
Published: (1999)
by: Lampis, M., et al.
Published: (1999)
Spatially-Homogeneous Boltzmann Hierarchy as Averaged Spatially-Inhomogeneous Stochastic Boltzmann Hierarchy
by: Lampis, M., et al.
Published: (2002)
by: Lampis, M., et al.
Published: (2002)
Stochastic dynamics as a limit of Hamiltonian dynamics of hard spheres
by: Lampis, M., et al.
Published: (1999)
by: Lampis, M., et al.
Published: (1999)
Stochastic Dynamics and Hierarchy for the Boltzmann Equation with Arbitrary Differential Scattering Cross Section
by: Lampis, M., et al.
Published: (2004)
by: Lampis, M., et al.
Published: (2004)
Spatially-Homogeneous Boltzmann Hierarchy as Averaged Spatially-Inhomogeneous Stochastic Boltzmann Hierarchy
by: Lampis, M., et al.
Published: (2002)
by: Lampis, M., et al.
Published: (2002)
On the approaches to the derivation of the Boltzmann equation with hard sphere collisions
by: V. I. Gerasimenko
Published: (2013)
by: V. I. Gerasimenko
Published: (2013)
The Boltzmann kinetic equation with correlations for hard sphere fluids
by: V. I. Herasymenko, et al.
Published: (2015)
by: V. I. Herasymenko, et al.
Published: (2015)
Canonical ensemble vs. grand Canonical ensemble in the description of multicomponent Bosonic systems
by: D. Anchishkin, et al.
Published: (2024)
by: D. Anchishkin, et al.
Published: (2024)
Canonical ensemble vs. grand Canonical ensemble in the description of multicomponent Bosonic systems
by: D. Anchishkin, et al.
Published: (2024)
by: D. Anchishkin, et al.
Published: (2024)
Stochastic dynamics and Boltzmann hierarchy. I
by: Petrina, D. Ya., et al.
Published: (1998)
by: Petrina, D. Ya., et al.
Published: (1998)
Stochastic dynamics and Boltzmann hierarchy. II
by: Petrina, D. Ya., et al.
Published: (1998)
by: Petrina, D. Ya., et al.
Published: (1998)
Stochastic dynamics and Boltzmann hierarchy. III
by: Petrina, D. Ya., et al.
Published: (1998)
by: Petrina, D. Ya., et al.
Published: (1998)
Methods for derivation of the stochastic Boltzmann hierarchy
by: Petrina, D. Ya., et al.
Published: (2000)
by: Petrina, D. Ya., et al.
Published: (2000)
New explicit approximate solution of the Boltzmann equation in the case of the hard sphere model
by: Hukalov, O., et al.
Published: (2026)
by: Hukalov, O., et al.
Published: (2026)
States of Infinite Equilibrium Classical Systems
by: Petrina, D. Ya., et al.
Published: (2003)
by: Petrina, D. Ya., et al.
Published: (2003)
On virial expansions of correlation functions. Canonical ensemble
by: Yu. Pohorielov, et al.
Published: (2023)
by: Yu. Pohorielov, et al.
Published: (2023)
On virial expansions of correlation functions. Canonical ensemble
by: Pogorelov, Yu., et al.
Published: (2023)
by: Pogorelov, Yu., et al.
Published: (2023)
Equilibrium and Nonequilibrium States of the Model Fröhlich–Peierls Hamiltonian
by: Petrina, D. Ya., et al.
Published: (2003)
by: Petrina, D. Ya., et al.
Published: (2003)
General expressions of the second-order approximation of the Chapman-Enskog method for the Enskog-Landau kinetic equation
by: Tokarchuk, M.V., et al.
Published: (2000)
by: Tokarchuk, M.V., et al.
Published: (2000)
Solutions of the BBGKY hierarchy for a system of hard spheres with inelastic collisions
by: Caraffini, G. L., et al.
Published: (2006)
by: Caraffini, G. L., et al.
Published: (2006)
Methods for derivation of the stochastic Boltzmann hierarchy
by: Petrina, D.Ya.
Published: (2000)
by: Petrina, D.Ya.
Published: (2000)
Equilibrium stochastic dynamics of Poisson cluster ensembles
by: Bogachev, L., et al.
Published: (2008)
by: Bogachev, L., et al.
Published: (2008)
Analog of the Liouville Equation and BBGKY Hierarchy for a System of Hard Spheres with Inelastic Collisions
by: Caraffini, G. L., et al.
Published: (2005)
by: Caraffini, G. L., et al.
Published: (2005)
Scaling Limits of Planar Symplectic Ensembles
by: Akemann, Gernot, et al.
Published: (2022)
by: Akemann, Gernot, et al.
Published: (2022)
Freezing Limits for Beta-Cauchy Ensembles
by: Voit, Michael
Published: (2022)
by: Voit, Michael
Published: (2022)
Stochastic Dynamics and Hierarchy for the Boltzmann Equation with Arbitrary Differential Scattering Cross Section
by: Lampis, M., et al.
Published: (2004)
by: Lampis, M., et al.
Published: (2004)
Solutions of the BBGKY hierarchy for a system of hard spheres with inelastic collisions
by: Petrina, D.Ya., et al.
Published: (2006)
by: Petrina, D.Ya., et al.
Published: (2006)
A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles
by: Kuijlaars, A.B.J.
Published: (2016)
by: Kuijlaars, A.B.J.
Published: (2016)
Existence of solution of the Cauchy problem for the Enskog equation with dissipative scattering
by: M. S. Borovchenkova
Published: (2013)
by: M. S. Borovchenkova
Published: (2013)
Analog of the Liouville Equation and BBGKY Hierarchy for a System of Hard Spheres with Inelastic Collisions
by: Petrina, D.Ya., et al.
Published: (2005)
by: Petrina, D.Ya., et al.
Published: (2005)
Equilibrium and Nonequilibrium States of the Model Fröhlich–Peierls Hamiltonian
by: Petrina, D.Ya.
Published: (2003)
by: Petrina, D.Ya.
Published: (2003)
The Enskog theory for self-diffusion coefficients of simple fluids with continuous potentials
by: Miyazaki, K., et al.
Published: (2001)
by: Miyazaki, K., et al.
Published: (2001)
Two-state Bose-Hubbard model in the hard-core boson limit
by: Stasyuk, I.V., et al.
Published: (2011)
by: Stasyuk, I.V., et al.
Published: (2011)
Propagation of bending waves in a thin plate with an ensemble of randomly located holes of non-canonical form
by: Ya. I. Kunets, et al.
Published: (2020)
by: Ya. I. Kunets, et al.
Published: (2020)
The Bogolubov generating functional method in statistical physics and “collective” variables transform within the grand canonical ensemble
by: Bogolubov (jr.), N.N., et al.
Published: (2007)
by: Bogolubov (jr.), N.N., et al.
Published: (2007)
On extrapolation of virial coefficients of hard spheres
by: Ončák, M., et al.
Published: (2012)
by: Ončák, M., et al.
Published: (2012)
On the limiting equilibrium state of a nonlinear anisotropic body with a crack
by: A. A. Kaminskij, et al.
Published: (2015)
by: A. A. Kaminskij, et al.
Published: (2015)
An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles
by: Lubinsky, D.S.
Published: (2016)
by: Lubinsky, D.S.
Published: (2016)
Pressure and entropy of hard spheres in the weakly nonequilibrium heat-conduction steady state
by: Humenyuk, Y.A.
Published: (2016)
by: Humenyuk, Y.A.
Published: (2016)
Similar Items
-
Existence of equilibrium states of systems of hard spheres in the Boltzmann-Enskog limit within the frame work of the grand canonical ensemble
by: Petrina, E. D., et al.
Published: (1997) -
Stochastic dynamics as a limit of Hamiltonian dynamics of hard spheres
by: Lampis, M., et al.
Published: (1999) -
Spatially-Homogeneous Boltzmann Hierarchy as Averaged Spatially-Inhomogeneous Stochastic Boltzmann Hierarchy
by: Lampis, M., et al.
Published: (2002) -
Stochastic dynamics as a limit of Hamiltonian dynamics of hard spheres
by: Lampis, M., et al.
Published: (1999) -
Stochastic Dynamics and Hierarchy for the Boltzmann Equation with Arbitrary Differential Scattering Cross Section
by: Lampis, M., et al.
Published: (2004)