3 citations · 5 across the 4 of their papers we have counts for
9 papers
Microscopic statistical basis of classical Thermodynamics of finite systems
D. H. E. Gross
Heat can flow from cold to hot at any phase separation. Therefore Lynden-Bell's gravo-thermal catastrophe must be reconsidered. The original objects of Thermodynamics, the separati…
The microcanonical entropy is multiply differentiable. No dinosaurs in microcanonical gravitation: No special "microcanonical phase transitions"
D. H. E. Gross
The microcanonical entropy is the {\em geometrical measure} of the microscopic redundancy or ignorance about the N-body system. {\em Even for astronomical large syste…
Asymmetric binaries and hierarchy of states in self-gravitating systems
A. De Martino, E. V. Votyakov, D. H. E. Gross
We complete the analysis of the equilibrium shapes of rotating self-gravitating gases initiated in Phys. Rev. Lett. 89 031101 (2002) (cond-mat/0202140) by studying the formation an…
Second Law in Classical Non-Extensive Systems
D. H. E. Gross
Equilibrium statistics of Hamiltonian systems is correctly described by the microcanonical ensemble, whereas canonical ones fail in the most interesting, mostly inhomogeneous, situ…
Micro-canonical Statistical Mechanics of some Non-Extensive Systems
D. H. E. Gross
Non-extensive systems do not allow to go to the thermodynamic limit. Therefore we have to reformulate statistical mechanics without invoking the thermodynamical limit. I.e. we have…
Phase transitions in finite systems = topological peculiarities of the microcanonical entropy surface
D. H. E. Gross, E. Votyakov
It is discussed how phase transitions of first order (with phase separation and surface tension), continuous transitions and (multi)-critical points can be defined and classified f…