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Institution

University of Lorraine

EducationNancy, France
About: University of Lorraine is a education organization based out in Nancy, France. It is known for research contribution in the topics: Population & Nonlinear system. The organization has 11942 authors who have published 25010 publications receiving 425227 citations. The organization is also known as: Lorraine University.


Papers
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Journal ArticleDOI
TL;DR: An ab initio dynamical thermal conductivity is obtained for the first time by combining simultaneous diagonalization of the collision kernel of the Boltzmann equation and a symmetry crystal class operator with density functional calculations.
Abstract: The frequency dependent phonon Boltzmann equation is transformed to an integral equation over the irreducible part of the Brillouin zone. Simultaneous diagonalization of the collision kernel of that equation and a symmetry crystal class operator allow us to obtain a spectral representation of the lattice thermal conductivity valid at finite frequency. Combining this approach with density functional calculations, an ab initio dynamical thermal conductivity is obtained for the first time. The static thermal conductivity is also obtained as a particular case. The method is applied to C, Si, and Mg2Si and excellent agreement is obtained with the available static thermal conductivity measurements.

151 citations

Journal ArticleDOI
TL;DR: The length of diagnostic delay is correlated with an increased risk of bowel stenosis and CD-related intestinal surgery and efforts should be undertaken to shorten the diagnostic delay.

150 citations

Journal ArticleDOI
TL;DR: This study is the first to attempt to simulate the combustion of these species in any detail, and illustrates both quantitatively and qualitatively the complex chemical behavior of what is a high potential biofuel.

150 citations

Journal ArticleDOI
TL;DR: In this paper, it was shown that every rational extension of the quantum harmonic oscillator that is exactly solvable by polynomials is monodromy free, and therefore can be obtained by applying a finite number of state-deleting Darboux transformations on the harmonic oscillators.
Abstract: We prove that every rational extension of the quantum harmonic oscillator that is exactly solvable by polynomials is monodromy free, and therefore can be obtained by applying a finite number of state-deleting Darboux transformations on the harmonic oscillator. Equivalently, every exceptional orthogonal polynomial system of Hermite type can be obtained by applying a Darboux-Crum transformation to the classical Hermite polynomials. Exceptional Hermite polynomial systems only exist for even codimension 2m, and they are indexed by the partitions \lambda of m. We provide explicit expressions for their corresponding orthogonality weights and differential operators and a separate proof of their completeness. Exceptional Hermite polynomials satisfy a 2l+3 recurrence relation where l is the length of the partition \lambda. Explicit expressions for such recurrence relations are given.

149 citations


Authors

Showing all 12161 results

NameH-indexPapersCitations
Jonathan I. Epstein138112180975
Peter Tugwell129948125480
David Brown105125746827
Faiez Zannad10383990737
Sabu Thomas102155451366
Francis Martin9873343991
João F. Mano9782236401
Jonathan A. Epstein9429927492
Muhammad Imran94305351728
Laurent Peyrin-Biroulet9090134120
Athanase Benetos8339131718
Michel Marre8244439052
Bruno Rossion8033721902
Lyn March7836762536
Alan J. M. Baker7623426080
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Performance
Metrics
No. of papers from the Institution in previous years
YearPapers
202375
2022477
20213,153
20202,987
20192,799
20182,593