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5 papers · 2 filters
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…
Calculation of local pressure tensors in systems with many-body interactions
Hendrik Heinz, Wolfgang Paul, Kurt Binder
Local pressures are important in the calculation of interface tensions and in analyzing micromechanical behavior. The calculation of local pressures in computer simulations has bee…
Performance Limitations of Flat Histogram Methods and Optimality of Wang-Landau Sampling
P. Dayal, S. Trebst, S. Wessel +4
We determine the optimal scaling of local-update flat-histogram methods with system size by using a perfect flat-histogram scheme based on the exact density of states of 2D Ising m…
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…
Monotonically equivalent entropies and solution of additivity equation
Pavel Gorban
Generalized entropies are studied as Lyapunov functions for the Master equation (Markov chains). Three basic properties of these Lyapunov functions are taken into consideration: un…