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A mathematical model describing the capture of nonlinear systems into the autoresonance by a combined parametric and external periodic slowly varying perturbation is considered. The autoresonance phenomenon is associated with solutions…

动力系统 · 数学 2023-09-26 Oskar Sultanov

Collective motion is a manifestation of emergent phenomena in medium-heavy and heavy nuclei. A relatively large number of constituent nucleons contribute coherently to nuclear excitations (vibrations, rotations) that are characterized by…

核理论 · 物理学 2022-03-18 Z. P. Li , D. Vretenar

In crowded systems, particle currents can be mediated by propagating collective excitations which are generated as rare events, are localized and have a finite lifetime. The theoretical description of such excitations is hampered by the…

统计力学 · 物理学 2022-11-16 Alexander P. Antonov , David Voráč , Artem Ryabov , Philipp Maass

A nuclear structure model based on linear response theory (i.e., Random Phase Approximation) and which includes pairing correlations and anharmonicities (coupling with collective vibrations), has been implemented in such a way that it can…

核理论 · 物理学 2009-11-10 D. Sarchi , P. F. Bortignon , G. Colo`

We investigate the topological classification of excitations in quadratic bosonic systems with an excitation band gap. Time-reversal, charge-conjugation, and parity symmetries in bosonic systems are introduced to realize a ten-fold symmetry…

量子气体 · 物理学 2020-09-22 Zixian Zhou , Liang-Liang Wan , Zhi-Fang Xu

The influence of multiplicative stochastic perturbations on the class of asymptotically Hamiltonian systems on the plane is investigated. It is assumed that disturbances do not preserve the equilibrium of the corresponding limiting system…

动力系统 · 数学 2023-10-11 O. A. Sultanov

In this paper, a variational perturbation scheme for nonrelativistic many-Fermion systems is generalized to a Bosonic system. By calculating the free energy of an anharmonic oscillator model, we investigated this variational expansion…

量子物理 · 物理学 2009-11-06 Wen-Fa Lu , Sang Koo You , Jino Bak , Chul Koo Kim , Kyun Nahm

Hamiltonian theory for collective longitudinally polarized gluon excitations (plasmons) interacting with classical high-energy test color-charged particle propagating through a high-temperature gluon plasma is developed. A generalization of…

高能物理 - 理论 · 物理学 2024-07-16 Yu. A. Markov , M. A. Markova , N. Yu. Markov

In a typical scenario the diagrammatic many-body perturbation theory generates asymptotic series. Despite non-convergence, the asymptotic expansions are useful when truncated to a finite number of terms. This is the reason for popularity of…

强关联电子 · 物理学 2016-01-19 Yaroslav Pavlyukh , Jamal Berakdar , Angel Rubio

We present a first-principles approach for calculating phonon-polariton dispersion relations. In this approach, phonon-photon interaction is described by quantization of a Hamiltonian that describes harmonic lattice vibrations coupled with…

材料科学 · 物理学 2026-01-13 Olle Hellman , Leeor Kronik

We propose a q-deformed model of the anharmonic vibrations in diatomic molecules. We analyse the applicability of the model to the phenomenological Dunham's expansion by comparing with experimental data. Our methodology involves a global…

统计力学 · 物理学 2011-12-20 Maia Angelova , Vladimir Dobrev , Alejandro Frank

It is argued that continuum realisations of distributions of collisionless charged particles should accommodate a dynamically evolving number of electric currents even if the continuum is composed of only one species of particle, such as…

等离子体物理 · 物理学 2008-11-26 D. A. Burton , J. Gratus , R. W. Tucker

We analyse collective motion that occurs during rare (large deviation) events in systems of active particles, both numerically and analytically. We discuss the associated dynamical phase transition to collective motion, which occurs when…

Collective modes emerge as the relevant degrees of freedom that govern low-energy excitations of atomic nuclei. These modes - rotations, pairing rotations, and vibrations - are separated in energy from non-collective excitations, making it…

核理论 · 物理学 2025-03-12 E. A. Coello Pérez , T. Papenbrock

Nonlinear random vibration under excitations of both Gaussian and Poisson white noises is considered. The model is based on stochastic differential equations, and the corresponding stochastic integrals are defined in such a way that the…

动力系统 · 数学 2012-06-20 Xu Sun , Jinqiao Duan , Xiaofan Li

We present a method for evaluating divergent non-Borel-summable series by an analytic continuation of variational perturbation theory. We demonstrate the power of the method by an application to the exactly known partition function of the…

高能物理 - 理论 · 物理学 2009-11-10 B. Hamprecht , H. Kleinert

The linearised time dependent coupled Gross-Pitaevskii equations describing the long wavelength excitations of Bose-condensed binary mixtures are solved, in the bulk and in harmonic traps for the case where only the binary phase is present.…

凝聚态物理 · 物理学 2016-08-31 Robert Graham , Dan Walls

Collective electronic fluctuations in correlated materials give rise to various important phenomena, such as existence of the charge ordering, superconductivity, Mott insulating and magnetic phases, plasmon and magnon modes, and other…

强关联电子 · 物理学 2019-03-19 E. A. Stepanov , A. Huber , A. I. Lichtenstein , M. I. Katsnelson

The anharmonic lattice is a representative example of an interacting bosonic many-body system. The self-consistent harmonic approximation has proven versatile for the study of the equilibrium properties of anharmonic lattices. However, the…

材料科学 · 物理学 2021-07-28 Jae-Mo Lihm , Cheol-Hwan Park

Based on a quantum Langevin equation and its corresponding Hamiltonian within a c-number formalism we calculate the vibrational dephasing rate of a cubic oscillator. It is shown that leading order quantum correction due to anharmonicity of…

化学物理 · 物理学 2009-11-10 Debashis Barik , Deb Shankar Ray