منابع مشابه
The Onsager Equation for Corpora
We consider extensions of excluded volume interactions for complex corpora that generalize simple rod-like particles. The Onsager equation can be defined for quite general configuration spaces, and the dimension reduction of the phase space in the limit of highly intense interaction can be shown. The formalism describes both freely articulated and interacting N-rods and the example of interacti...
متن کاملThe Onsager Equation for Corpora Peter Constantin
We consider extensions of excluded volume interactions for complex corpora that generalize simple rod-like particles. The Onsager equation can be defined for quite general configuration spaces, and the dimension reduction of the phase space in the limit of highly intense interaction can be shown. The formalism describes both freely articulated and interacting N-rods and the example of interacti...
متن کاملThe Small Deborah Number Limit of the Doi-onsager Equation to the Ericksen-leslie Equation
We present a rigorous derivation of the Ericksen-Leslie equation starting from the Doi-Onsager equation. As in the fluid dynamic limit of the Boltzmann equation, we first make the Hilbert expansion for the solution of the Doi-Onsager equation. The existence of the Hilbert expansion is connected to an open question whether the energy of the EricksenLeslie equation is dissipated. We show that the...
متن کاملThe Q-onsager Algebra
where β = q+q and δ = −(q − q) 2 . (TD) can be regarded as a q-analogue of the DolanGrady relations and we call A the q-Onsager algebra. We classify the finite-dimensional irreducible representations of A. All such representations are explicitly constructed via embeddings of A into the Uq(sl2)-loop algebra. As an application, tridiagonal pairs of qRacah type over C are classified in the case wh...
متن کاملThe Onsager–Machlup functional for data assimilation
Abstract. When taking the model error into account in data assimilation, one needs to evaluate the prior distribution represented by the Onsager–Machlup functional. Through numerical experiments, this study clarifies how the prior distribution should be incorporated into cost functions for discrete-time estimation problems. Consistent with previous theoretical studies, the divergence of the dri...
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ژورنال
عنوان ژورنال: Journal of Computational and Theoretical Nanoscience
سال: 2010
ISSN: 1546-1955,1546-1963
DOI: 10.1166/jctn.2010.1411