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We introduce the Random Quadratic Form (RQF): a stochastic differential equation which formally corresponds to the gradient flow of a random quadratic functional on a sphere. While the one-point dynamics of the system is a Brownian motion…

Probability · Mathematics 2026-03-09 Maximilian Engel , Anna Shalova

Isoscalar and isovector monopole oscillations that correspond to giant resonances in spherical nuclei are described in the framework of time-dependent relativistic mean-field (RMF) theory. Excitation energies and the structure of eigenmodes…

Nuclear Theory · Physics 2009-10-30 D. Vretenar , G. A. Lalazissis , R. Behnsch , W. Pöschl , P. Ring

A density dependent relativistic mean-field model is determined to reproduce the components of the nucleon self-energy at low densities. This model is used to investigate spinodal instabilities in isospin asymmetric nuclear matter at finite…

Nuclear Theory · Physics 2013-02-25 E. N. E. van Dalen , H. Müther

The quark mean field model, which describes the nucleon using the constituent quark model, is applied to investigate the properties of finite nuclei. The couplings of the scalar and vector mesons with quarks are made density dependent…

Nuclear Theory · Physics 2009-11-07 Y. H. Tan , H. Shen , P. Z. Ning

This paper aims at introducing a methodology to compute stable coupled state-space models for dynamic substructuring applications by introducing two novel approaches targeted to accomplish this task: a) a procedure to impose Newtons's…

Systems and Control · Electrical Eng. & Systems 2024-03-06 R. S. O. Dias , M. Martarelli , P. Chiariotti

Quantum states can be stabilized in the presence of intrinsic and environmental losses by either applying active feedback conditioned on an ancillary system or through reservoir engineering. Reservoir engineering maintains a desired quantum…

We consider the formal non relativistc limit (nrl) of the :\phi^4:_{s+1} relativistic quantum field theory (rqft), where s is the space dimension. Following work of R. Jackiw, we show that, for s=2 and a given value of the ultraviolet…

Mathematical Physics · Physics 2008-11-26 Walter Wreszinski , Christian Jaekel

The equilibrium of a finite-beta cylindrical RFP plasma in the presence of saturated-amplitude tearing modes is investigated. The singularities arising from the perturbative analysis of the MHD force balance equation JxB=grad(p) are…

Plasma Physics · Physics 2007-05-23 P. Zanca , F. Sattin , E. Martines

Filtering for stochastic reaction networks (SRNs) is an important problem in systems/synthetic biology aiming to estimate the state of unobserved chemical species. A good solution to it can provide scientists valuable information about the…

Quantitative Methods · Quantitative Biology 2021-10-18 Zhou Fang , Ankit Gupta , Mustafa Khammash

We study the binding energies, radii, single-particle energies, spin-orbit potential and density profile for multi-strange hypernuclei in the range of light mass to superheavy region within the relativistic mean field (RMF) theory. The…

Nuclear Theory · Physics 2015-06-22 M. Ikram , S. K. Singh , A. A. Usmani , S. K. Patra

This thesis focuses on a variety of active research topics, such as nuclear matter, neutron stars, and phase transition within the framework of the RMF model. We use the previously successful effective field theory-driven Relativistic Mean…

Nuclear Theory · Physics 2022-06-07 Ishfaq Ahmad Rather

We have analyzed stellar properties of the relativistic mean-field (RMF) parametrizations shown to be consistent with the recently studied constraints related to nuclear matter, pure neutron matter, symmetry energy and its derivatives…

High Energy Astrophysical Phenomena · Physics 2016-09-26 Mariana Dutra , Odilon Lourenço , Débora P. Menezes

Radial oscillations provide a clean dynamical test of the high-density stiffness of neutron-star equations of state. We study spherically symmetric pulsations of nonrotating relativistic stars built from cold, charge-neutral,…

Nuclear Theory · Physics 2026-02-18 G. Panotopoulos , A. Övgün , T. Iqbal , Y. Kumaran , B. K. Sharma

The self-consistent Thomas-Fermi approximation is an essential method for studying the non-uniform nuclear matter with relativistic mean-field theory. In this method, the nucleon distribution in the Wigner-Seitz cell is obtained…

Nuclear Theory · Physics 2015-12-15 Zhao-wen Zhang , Hong Shen

We implement a semi-analytic approach for stability analysis, addressing the ongoing uncertainty about stability and structure of neutron star magnetic fields. Applying the energy variational principle, a model system is displaced from its…

Solar and Stellar Astrophysics · Physics 2017-09-25 Marlene Herbrik , Kostas Kokkotas

Atomic physics experiments commonly use millitesla-scale magnetic fields to provide a quantization axis. As atomic transition frequencies depend on the amplitude of this field, many experiments require a stable absolute field. Most setups…

Atomic Physics · Physics 2019-04-22 B. Merkel , K. Thirumalai , J. E. Tarlton , V. M. Schäfer , C. J. Ballance , T. P. Harty , D. M. Lucas

This paper proposes a data-driven method to solve the fixed-energy inverse scattering problem for radially symmetric potentials using radial basis function (RBF) neural networks in an open-loop control system. The method estimates the…

Nuclear Theory · Physics 2026-02-09 Gábor Balassa

The self-consistent mean-field (SCMF) theory describes many properties of the ground state and excited states of the atomic nucleus, such as masses, radii, deformations and giant resonance energies. SCMF models are based on the independent…

Nuclear Theory · Physics 2014-08-05 Marco Brenna

A relativistic mean-field model is used to study the ground-state properties of neutron-rich nuclei. Nonlinear isoscalar-isovector terms, unconstrained by present day phenomenology, are added to the model Lagrangian in order to modify the…

Nuclear Theory · Physics 2009-11-10 B. G. Todd , J. Piekarewicz

A phenomenological level density model that has different level density parameter sets for the state densities of the deformed and the spherical states, and the optimization of the parameters using experimental data of the average s-wave…

Nuclear Theory · Physics 2018-11-28 Naota Furutachi , Futoshi Minato , Osamu Iwamoto