Born-Bogoliubov-Green-Kirkwood-Yvon hierarchy for ultracold bosonic systems
نویسندگان
چکیده
منابع مشابه
III.C The Bogoliubov-Born-Green-Kirkwood-Yvon Hierarchy
The full phase space density contains much more information than necessary for description of equilibrium properties. For example, knowledge of the one particle distribution is sufficient for computing the pressure of a gas. A one particle density refers to the expectation value of finding any of the N particles at location ~q, with momentum ~p, at time t, which is computed from the full densit...
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We consider the fractional generalizations of the phase volume, volume element, and Poisson brackets. These generalizations lead us to the fractional analog of the phase space. We consider systems on this fractional phase space and fractional analogs of the Hamilton equations. The fractional generalization of the average value is suggested. The fractional analogs of the Bogoliubov hierarchy equ...
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We present an approach for the description of fluctuations that are due to finite system size induced correlations in the Kuramoto model of coupled oscillators. We construct a hierarchy for the moments of the density of oscillators that is analogous to the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy in the kinetic theory of plasmas and gases. To calculate the lowest order system size effect, ...
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We study the breathing mode in systems of trapped interacting particles. Our approach, based on a dynamical ansatz in the first equation of the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy allows us to tackle at once a wide range of power-law interactions and interaction strengths, at linear and nonlinear levels. This both puts in a common framework various results scattered in the literature,...
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The rigorous evolution equation for the one-body distribution function f(t) describing an imperfect gas is not closed according to the investigations of Bogoliubov, Born, Green, Kirkwood, Yvon and others (B—B—G—K-Y hierarchy). The analysis of this equation is made in terms of connected diagrams. It is shown that in the bulk limit this equation can rigorously be transformed into an equation whic...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2018
ISSN: 2469-9926,2469-9934
DOI: 10.1103/physreva.98.013629