نتایج جستجو برای: perfect mixing model

تعداد نتایج: 2187585  

2015
Samuel C. Huberman Jason M. Larkin Alan J.H. McGaughey Cristina H. Amon Alan J. H. McGaughey

Molecular dynamics simulations and lattice dynamics calculations are used to study the vibrational modes and thermal transport in Lennard-Jones superlattices with perfect and mixed interfaces. The secondary periodicity of the superlattices leads to a vibrational spectrum (i.e., dispersion relation) that is distinct from the bulk spectra of the constituent materials. The mode eigenvectors of the...

2007
Paul E. Bigeleisen Margaret Cheney Amos Eaton

This paper presents a mathematical model of a semi-closed anesthesia breathing circuit. The model comprises four perfect-mixing compartments (corresponding to the lung, the reservoir bag, and the two absorber cannisters), together with four tubes through which gas flows without mixing (corresponding to the inspiratory tube, the expiratory tube, the arm leading to the reservoir bag, and the anat...

2013
PIOTR OPROCHA GUOHUA ZHANG

In this paper we show that for every n ≥ 2 there are minimal systems with perfect weakly mixing sets of order n and all weakly mixing sets of order n+1 trivial. We present some relations between weakly mixing sets and topological sequence entropy, in particular, we prove that invertible minimal systems with nontrivial weakly mixing sets of order 3 always have positive topological sequence entro...

2009
E. S. Landry A. J. H. McGaughey

Molecular dynamics simulations are used to examine the effect of interfacial species mixing on the thermal conductivity of Stillinger-Weber Si /Si0.7Ge0.3 and Si/Ge superlattices at a temperature of 500 K. The thermal conductivity of Si /Si0.7Ge0.3 superlattices is predicted to not depend on the interfacial species mixing and to increase with increasing period length. This period length depende...

Journal: :CoRR 2014
Annabell Berger Steffen Rechner

We prove that Broder’s Markov chain for approximate sampling near-perfect and perfect matchings is not rapidly mixing for Hamiltonian, regular, threshold and planar bipartite graphs, filling a gap in the literature. In the second part we experimentally compare Broder’s chain with the Markov chain by Jerrum, Sinclair and Vigoda from 2004. For the first time, we provide a systematic experimental ...

Journal: :SIAM J. Comput. 1989
Mark Jerrum Alistair Sinclair

A randomised approximation scheme for the permanent of a 0-1 matrix is presented. The task of estimating a permanent is reduced to that of almost uniformly generating perfect matchings in a graph; the latter is accomplished by simulating a Markov chain whose states are the matchings in the graph. For a wide class of 0-1 matrices the approximation scheme is fully-polynomial, i.e., runs in time p...

2016
Konstantin Avrachenkov Lenar Iskhakov Maksim Mironov

We consider pairwise Markov random fields which have a number of important applications in statistical physics, image processing and machine learning such as Ising model and labeling problem to name a couple. Our own motivation comes from the need to produce synthetic models for social networks with attributes. First, we give conditions for rapid mixing of the associated Glauber dynamics and co...

Journal: :Discrete Mathematics 2011
Nicolas Trotignon Kristina Vuskovic

Roussel and Rubio proved a lemma which is essential in the proof of the Strong Perfect Graph Theorem. We give a new short proof of the main case of this lemma. In this note, we also give a short proof of Hayward’s decomposition theorem for weakly chordal graphs, relying on a Roussel–Rubio-type lemma. We recall how Roussel–Rubio-type lemmas yield very short proofs of the existence of even pairs ...

2016
Prateek Bhakta Dana Randall

We consider perfect matchings of the square-octagon lattice, also known as “fortresses” [16]. There is a natural local Markov chain on the set of perfect matchings that is known to be ergodic. However, unlike Markov chains for sampling perfect matchings on the square and hexagonal lattices, corresponding to domino and lozenge tilings, respectively, the seemingly related Markov chain on the squa...

Journal: :International Journal of Cosmology, Astronomy and Astrophysics 2019

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