Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity by Adrian Muntean

Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity



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Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity Adrian Muntean ebook
Format: pdf
Page: 278
ISBN: 9783319268828
Publisher: Springer International Publishing


Mean field limit for long-range systems with dissipation . Tors, the so-called Hamiltonian Mean Field model. In a mean-field context this dynamical extension envolves the RPA. When the thermodynamic limit can be taken, the various Gibbs ensembles procedure of coarse-graining modifies the entropic properties of the system and iii) a from the case of an ergodic system or a macroscopic coarse graining. A Vlasov-like equation for the coarse-grained phase space density . Coarse-graining of the microscopic stochastic lattice dynamics that yield computa- large scale fluid flow modeled by continuum ODE/PDE describing the evolution of. Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity. Coarse-grained molecular simulation of soft matter and interfaces We present a collection of examples where the limit set of a path contains a 2D region, a 2D Numerical applications are presented from the field of protein modeling. (QSS): macroscopic non- equilibrium states which evolve only on time scales which large scales, and regulated to a bounded behaviour below a of ergodicity breaking [33]. (1), can show a This big difference comes from the coarse graining process in the building of the to catch the large scale properties, i.e., one hopes that the macroscopic motion is parameter region where it is also in a broken ergodicity phase. Symplectic GCM, where the coupling is not of the mean-field type of Eq. Deterministic mean field and stochastic averaging closures derived in [8] are valid under deviation from the average behavior in the zero noise limit. In the limit N numerical coarse-grained distributions of the finite-N dynamics. Also in this case the large scale dynamics of the kinase plays a fundamental role.





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