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Model checking has been successfully applied to verification of computer hardware and software, communication systems and even biological systems. In this paper, we further push the boundary of its applications and show that it can be…

Quantum Physics · Physics 2019-02-11 Ji Guan , Yuan Feng , Andrea Turrini , Mingsheng Ying

Modeling plasmas in terms of atoms or ions is theoretically appealing for several reasons. When it is relevant, the notion of atom or ion in a plasma provides us with an interpretation scheme of the plasma's microscopic structure. From the…

Plasma Physics · Physics 2024-12-18 Robin Piron

We discuss an approach for studying the properties of mesoscopic systems, where discrete and continuum parts of the spectrum are equally important. The approach can be applied (i) to stable heavy nuclei and complex atoms near the continuum…

Mesoscale and Nanoscale Physics · Physics 2014-07-29 G. L. Celardo , F. M. Izrailev , S. Sorathia , V. G. Zelevinsky , G. P. Berman

These notes summarise the lectures given at the International School of Physics "Enrico Fermi" in Summer 2024 in Varenna (Italy) about the strongly coupled quantum many-body theory and its applications to nuclear structure. The lectures…

Nuclear Theory · Physics 2025-01-22 Elena Litvinova

We develop the continuum mechanics of quantum many-body systems in the linear response regime. The basic variable of the theory is the displacement field, for which we derive a closed equation of motion under the assumption that the…

Strongly Correlated Electrons · Physics 2015-05-13 Jianmin Tao , Xianlong Gao , G. Vignale , I. V. Tokatly

Modeling plasmas in terms of atoms or ions is theoretically appealing for several reasons. When it is relevant, the notion of atom or ion in a plasma provides us with an interpretation scheme of the plasma's internal functioning. From the…

Plasma Physics · Physics 2023-12-25 R. Piron

The Gamow shell model is utilized to describe nuclear observables of the weakly bound and resonance isotonic states of $^{16}$O at proton drip-line. It is hereby shown that the presence of continuum coupling leads to complex Coulomb…

Nuclear Theory · Physics 2019-12-06 Nicolas Michel , Jian Guo Li , Fu Rong Xu , Wei Zuo

Three versions of the quark-meson coupling (QMC) model are applied to describe properties of nuclear matter and finite nuclei. The models differ in the treatment of the bag constant and in terms of nonlinear scalar self-interactions. As a…

Nuclear Theory · Physics 2009-10-31 Horst Mueller , Byron K. Jennings

This paper presents a general and robust method for the fluid-structure interaction of membranes and shells undergoing large displacement and large added-mass effects by coupling an immersed-boundary method with a shell finite-element…

Fluid Dynamics · Physics 2023-08-15 Marin Lauber , Gabriel D. Weymouth , Georges Limbert

We consider the dynamics of continuously measured many-body chaotic quantum systems. Focusing on the observable of state purification, we analytically describe the limits of strong and weak measurement rate, where in the latter case…

Disordered Systems and Neural Networks · Physics 2022-07-15 A. Altland , M. Buchhold , S. Diehl , T. Micklitz

The method of screening and renormalization for including the Coulomb interaction in the framework of momentum-space integral equations is applied to the three- and four-body nuclear reactions. The Coulomb effect on the observables and the…

Nuclear Theory · Physics 2009-11-13 A. Deltuva

Basic issues of the general model-building framework of the mechanics of complex bodies are discussed. Attention is focused on the representation of the material elements, the conditions for the existence of ground states in conservative…

Mathematical Physics · Physics 2015-05-13 Paolo Maria Mariano

This article is devoted to the study of existence of a mass conserving global solution for the collision-induced nonlinear fragmentation model which arises in particulate processes, with the singular type of collision kernel. The above…

Analysis of PDEs · Mathematics 2022-01-27 Debdulal Ghosh , Jayanta Paul , Jitendra Kumar

In this contribution, I present a short overview of the theory of direct nuclear reactions, with special emphasis on the case of reactions induced by weakly-bound nuclei. After introducing some general results of quantum scattering theory,…

Nuclear Theory · Physics 2019-02-06 Antonio M. Moro

A combination of reaction-diffusion models with moving-boundary problems yields a system in which the diffusion (spreading and penetration) and reaction (transformation) evolve the system's state and geometry over time. These systems can be…

Computational Engineering, Finance, and Science · Computer Science 2020-08-26 Mojtaba Barzegari , Liesbet Geris

Shell corrections are important in the determination of nuclear ground-state masses and shapes. Although general arguments favor a regular single-particle dynamics, symmetry-breaking and the presence of chaotic layers cannot be excluded.…

Nuclear Theory · Physics 2009-11-07 O. Bohigas , P. Leboeuf

We review the basics of the coupled-cluster expansion formalism for numerical solutions of the many-body problem, and we outline the principles of an approach directed towards an adequate inclusion of continuum effects in the associated…

Nuclear Theory · Physics 2009-11-10 Bogdan Mihaila

We discuss finite temperature quantum Monte Carlo methods in the framework of the interacting nuclear shell model. The methods are based on a representation of the imaginary-time many-body propagator as a superposition of one-body…

Nuclear Theory · Physics 2009-11-06 Y. Alhassid

In this work we present a reactions module for "Chaos Many-Body Engine" (Grossu et al., 2010 [1]). Following our goal of creating a customizable, object oriented code library, the list of all possible reactions, including the corresponding…

Computational Physics · Physics 2012-01-19 I. V. Grossu , C. Besliu , Al. Jipa , E. Stan , T. Esanu , D. Felea , C. C. Bordeianu

We present a brief overview of nuclear multifragmentation reaction. Basic formalism of canonical thermodynamical model based on equilibrium statistical mechanics is described. This model is used to calculate basic observables of nuclear…

Nuclear Theory · Physics 2020-09-03 G. Chaudhuri , S. Mallik , S. Das Gupta