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math-ph2008★ 4 cited
On Ruelle's construction of the thermodynamic limit for the classical microcanonical entropy
Michael K. -H. Kiessling
In this note we make a very elementary technical observation to the effect that Ruelle's construction of the thermodynamic limit of the classical entropy density defined with a reg…
math-ph2007★ 9 cited
Statistical Equilibrium Dynamics
Michael K. -H. Kiessling
The mean-field thermodynamic limit is studied for a class of isolated Newtonian N-body systems whose Hamiltonian admits several invariants of motion. It is shown that the macrostat…
math-ph2007★ 3 cited
On the relativistic Vlasov-Poisson system
Michael K. -H. Kiessling, A. Shadi Tahvildar-Zadeh
The Cauchy problem is revisited for the so-called relativistic Vlasov-Poisson system in the attractive case. Global existence and uniqueness of spherical classical solutions is pro…