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Related papers: Equilibration within a semiclassical off-shell tra…

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Static and dynamical aspects of nuclear systems are described through an extended time-dependent mean-field approach. The foundations of the formalism are presented, with highlights on the estimation of average values and their…

Nuclear Theory · Physics 2020-06-02 G. Besse , V. de la Mota , E. Bonnet , P. Eudes , P. Napolitani , Z. Basrak

Optimal entrainment of a quantum nonlinear oscillator to a periodically modulated weak harmonic drive is studied in the semiclassical regime. By using the semiclassical phase reduction theory recently developed for quantum nonlinear…

Adaptation and Self-Organizing Systems · Physics 2020-01-28 Yuzuru Kato , Hiroya Nakao

We consider the classical problem of particle diffusion in $d$-dimensional radially-symmetric systems with absorbing boundaries. A key quantity to characterise such diffusive transport is the evolution of the proportion of particles…

Computational Physics · Physics 2022-09-07 Elliot J. Carr

We consider the scattering matrix approach to quantum electron transport in meso- and nano-conductors. This approach is an alternative to the more conventional kinetic equation and Green's function approaches, and often is more efficient…

Mesoscale and Nanoscale Physics · Physics 2015-04-09 G. B. Lesovik , I. A. Sadovskyy

We present a new semi-empirical model for calculating electron transport in atomic-scale devices. The model is an extension of the Extended H\"uckel method with a self-consistent Hartree potential. This potential models the effect of an…

Mesoscale and Nanoscale Physics · Physics 2012-04-04 Kurt Stokbro , Dan Erik Petersen , Søren Smidstrup , Anders Blom , Mads Ipsen , Kristen Kaasbjerg

A semiclassical model based on the solution of the Vlasov equation for finite systems with a sharp moving surface has been used to study the isoscalar quadrupole and octupole collective modes in heavy spherical nuclei. Within this model, a…

Nuclear Theory · Physics 2017-08-23 V. I. Abrosimov , A. Dellafiore , F. Matera

We discuss the effects of the off-shell nucleon propagation for the particle production. Results from nonequilibrium Kadanoff-Baym evolution modeling a heavy ion collision are presented. The production rates are compared to equilibrium…

Nuclear Theory · Physics 2017-08-23 P. Bozek

We give a semiclassical interpretation of the mass asymmetry in the fission of heavy nuclei. Using only a few classical periodic orbits and a cavity model for the nuclear mean field, we reproduce the onset of left-right asymmetric shapes at…

Nuclear Theory · Physics 2009-01-23 M. Brack , S. M. Reimann , M. Sieber

A class of energy-transport equations without electric field under mixed Dirichlet-Neumann boundary conditions is analyzed. The system of degenerate and strongly coupled parabolic equations for the particle density and temperature arises in…

Analysis of PDEs · Mathematics 2013-10-15 Nicola Zamponi , Ansgar Jüngel

Off-shell propagation of nucleons is neglected in one-body transport models of heavy-ion collisions, but it could be significant in processes that are limited by phase space, such as the threshold production of heavy particles. We estimate…

Nuclear Theory · Physics 2009-10-28 G. F. Bertsch , P. Danielewicz

We show that electron interaction with the crystal lattice imposes stringent symmetry constrains on the orbital moment propagation. We present examples that elucidate the underlying mechanisms and reveal an additional effect of ultrafast…

Materials Science · Physics 2023-11-20 S. Urazhdin

The semiclassical equations of motion are widely used to describe carrier transport in conducting materials. Nevertheless, the substantial challenge of incorporating disorder systematically into the semiclassical model persists, leading to…

Mesoscale and Nanoscale Physics · Physics 2022-03-08 Rhonald Burgos Atencia , Qian Niu , Dimitrie Culcer

We propose a mechanism of thermalization of nucleons in relativistic nucleus-nucleus collisions. Our model belongs, to a certain degree, to the transport ones; we consider the evolution of the system, but we parametrize this development by…

Nuclear Theory · Physics 2009-04-13 D. Anchishkin , A. Muskeyev , S. Yezhov

The linear response approach to nuclear transport has been extended to pair correlations. The latter are treated within a mean field approximation to a pairing interaction with constant matrix elements $G$. The constraint of particle number…

Nuclear Theory · Physics 2009-10-31 F. A. Ivanyuk , H. Hofmann

Out-of-equilibrium phenomena are attracting high interest in physics, materials science, chemistry and life sciences. In this state, the study of structural fluctuations at different length scales in time and space are necessary to achieve…

Superconductivity · Physics 2019-08-13 Gaetano Campi , Antonio Bianconi

The body of experimental measurements of intermediate-energy reactions that remove a single nucleon from a secondary beam of neutron- or proton-rich nuclei continues to grow. These data have been analysed consistently using an approximate,…

Nuclear Theory · Physics 2021-05-26 J. A. Tostevin , A. Gade

A set of equations is derived from the Boltzmann kinetic equation describing charge transport in semiconductors. The unknowns of these equations depend on the space-time coordinates and the electron energy. The non-parabolic and parabolic…

Statistical Mechanics · Physics 2007-05-23 S. F. Liotta , A. Majorana

Transformers have achieved state-of-the-art performance in numerous tasks. In this paper, we propose a continuous-time formulation of transformers. Specifically, we consider a dynamical system whose governing equation is parametrized by…

Machine Learning · Computer Science 2025-02-03 Kelvin Kan , Xingjian Li , Stanley Osher

The Fokker-Planck equation describing the transport of energetic particles interacting with turbulence is difficult to solve analytically. Numerical solutions are of course possible but they are not always useful for applications. In the…

Solar and Stellar Astrophysics · Physics 2025-04-29 B. Klippenstein , A. Shalchi

Nuclei exhibit both single-particle and collective degrees of freedom, with the latter often subdivided into vibrational and rotational motions. Experimentally identifying the relative roles of these collective modes is extremely…

Nuclear Theory · Physics 2020-11-11 J. Henderson
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