Results 21 to 30 of about 265 (83)

Des equations de Dirac et de Schrodinger pour la transformation de Fourier

, 2003
Dyson a associe aux determinants de Fredholm des noyaux de Dirichlet pairs (resp. impairs) une equation de Schrodinger sur un demi-axe et a employe les methodes du scattering inverse de Gel'fand-Levitan et de Marchenko, en tandem, pour etudier l ...
Burnol, Burnol, Burnol, Burnol, de Branges, de Branges, Deift, des Cloizeaux, Dym, Dyson, Jean-François Burnol, Jimbo, Mehta, Tracy, Widom   +14 more
core   +1 more source

Nonequilibrium liquid theory for sheared granular liquids

, 2010
A noneqilibrium liquid theory for uniformly sheared granular liquids is developed starting from the SLLOD Liouville equation. We derive a generalized Green-Kubo formula and also demonstrate that the formulation is essentially independent of the choice of
Chong, Song-Ho, Hayakawa, Hisao, Otsuki, Michio   +2 more
core   +1 more source

Non-Debye relaxations: two types of memories and their Stieltjes character

, 2021
We show that spectral functions relevant for commonly used models of the non-Debye relaxation are related to the Stieltjes functions supported on the positive semiaxis.
Górska, K., Horzela, A.
core   +1 more source

Polydispersity and optimal relaxation in the hard sphere fluid

, 2013
We consider the mass heterogeneity in a gas of polydisperse hard particles as a key to optimizing a dynamical property: the kinetic relaxation rate. Using the framework of the Boltzmann equation, we study the long time approach of a perturbed velocity ...
Barbier, Matthieu, Trizac, Emmanuel
core   +2 more sources

Size distribution of particles in Saturn's rings from aggregation and fragmentation

, 2015
Saturn's rings consist of a huge number of water ice particles, with a tiny addition of rocky material. They form a flat disk, as the result of an interplay of angular momentum conservation and the steady loss of energy in dissipative inter-particle ...
Bodrova, Anna, Brilliantov, Nikolai, Hayakawa, Hisao, Krapivsky, Pavel, Schmidt, Juergen, Spahn, Frank, Stadnichuk, Vladimir   +6 more
core   +1 more source

Boltzmann equation and hydrodynamic fluctuations

, 2009
We apply the method of invariant manifolds to derive equations of generalized hydrodynamics from the linearized Boltzmann equation and determine exact transport coefficients, obeying Green-Kubo formulas.
A. N. Gorban, A. V. Bobylev, C. S. Wang Chang, D. Forster, H. Grad, Hans Christian Öttinger, J. D. Foch, J. M. Ortiz De Zarate, J.-P. Hansen, L. E. Reichl, M. Abramowitz, M. Kröger, Martin Kröger, Matteo Colangeli, S. Chapman, S. Hess   +15 more
core   +1 more source

Solutions of fractional logistic equations by Euler's numbers

, 2017
In this paper, we solve in the convergence set, the fractional logistic equation making use of Euler's numbers. To our knowledge, the answer is still an open question. The key point is that the coefficients can be connected with Euler's numbers, and then
D'Ovidio, Mirko, Loreti, Paola
core   +1 more source

Subnormal operators regarded as generalized observables and compound-system-type normal extension related to su(1,1) [PDF]

, 2000
In this paper, subnormal operators, not necessarily bounded, are discussed as generalized observables. In order to describe not only the information about the probability distribution of the output data of their measurement but also a framework of their ...
Ahkiezer N I, Aslaksen E, Bram J, Conway J B, Daubechies I, Fuminori Sakaguchi, Halmos P R, Halmos P R, Helstrom C W, Hiai F, Holevo A S, Howe R, Kadison R V, Knapp A, Masahito Hayashi, Naimark M A, Naimark M A, Perelomov A, Reed M, Reed M, Riesz F, Rudin W, Sakaguchi F, Stochel J, Stochel J, Yuen H P, Ôta S   +26 more
core   +2 more sources

Anomalous Diffusion Models Involving Regularized General Fractional Derivatives with Sonin Kernels

Fractal and Fractional
In this paper, we introduce a general fractional master equation involving regularized general fractional derivatives with Sonin kernels, and we discuss its physical characteristics and mathematical properties. First, we show that this master equation can be embedded into the framework of continuous time random walks, and we derive an explicit formula ...
Maryam Alkandari, Dimitri Loutchko, Yuri Luchko   +2 more
openaire   +2 more sources

Searching for Sonin kernels

Fractional Calculus and Applied Analysis
AbstractThe causal shift-invariant convolution is studied from the point of view of inversion. Abel’s algorithm, used in the tautochrone problem, is considered and Sonin’s existence condition is deduced. To generate pairs of functions verifying Sonin’s condition, the class of Mittag-Leffler type functions is used.
openaire   +2 more sources