251 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Siberian Federal UniversityRU42 papers
- Space Research InstituteRU34 papers
- Austrian Academy of SciencesAT33 papers
- University of ViennaAT23 papers
- University of GrazAT22 papers
- Institute of PhysicsPL13 papers
- Russian Academy of SciencesRU12 papers
- ETH ZurichCH8 papers
- Institute of Laser PhysicsRU6 papers
- Lomonosov Moscow State UniversityRU6 papers
- Siberian Branch of the Russian Academy of SciencesRU6 papers
- Polar Geophysical InstituteRU5 papers
8 papers · 1 filter
Order--disorder separation: Geometric revision
A. N. Gorban
After Boltzmann and Gibbs, the notion of disorder in statistical physics relates to ensembles, not to individual states. This disorder is measured by the logarithm of ensemble volu…
Kinetic Theory of Turbulence Modeling: Smallness Parameter, Scaling and Microscopic Derivation of Smagorinsky Model
Santosh Ansumali, Iliya V. Karlin, Sauro Succi
A mean-field approach (filtering out subgrid scales) is applied to the Boltzmann equation in order to derive a subgrid turbulence model based on kinetic theory. It is demonstrated…
Irreversibility in the short memory approximation
Iliya V. Karlin, Larisa L. Tatarinova, Alexander N. Gorban +1
A recently introduced systematic approach to derivations of the macroscopic dynamics from the underlying microscopic equations of motions in the short-memory approximation [Gorban…
Quasi-Equilibrium Closure Hierarchies for The Boltzmann Equation
A. N. Gorban, I. V. Karlin
In this paper, explicit method of constructing approximations (the Triangle Entropy Method) is developed for nonequilibrium problems. This method enables one to treat any complicat…
The additive generalization of the Boltzmann entropy
Alexander N. Gorban, Iliya V. Karlin, Hans Christian Ottinger
There exists only one generalization of the classical Boltzmann-Gibbs-Shannon entropy functional to a one-parametric family of additive entropy functionals. We find analytical solu…
Hydrodynamics from Grad's equations: What can we learn from exact solutions?
Iliya V. Karlin, Alexander N. Gorban
A detailed treatment of the classical Chapman-Enskog derivation of hydrodynamics is given in the framework of Grad's moment equations. Grad's systems are considered as the minimal…
Method of invariant manifold for chemical kinetics
Alexander N. Gorban, Iliya V. Karlin
In this paper, we review the construction of low-dimensional manifolds of reduced description for equations of chemical kinetics from the standpoint of the method of invariant mani…
Family of additive entropy functions out of thermodynamic limit
Alexander N. Gorban, Iliya V. Karlin
Starting with the additivity condition for Lyapunov functions of master equation, we derive a one-parametric family of entropy functions which may be appropriate for a description…