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On the basis of the previously formulated mathematical model of a statistical system with a scalar interaction of fermions and the theory of gravitational-scalar instability of a cosmological model based on a two-component statistical…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Yu. G. Ignat'ev

Vortex states in the mixture of ultracold atomic clouds of bosons and fermions are investigated using the effective Hamiltonian for the Bose subsystem. A stability of the Bose system in the case of attractive interaction between components…

Statistical Mechanics · Physics 2013-05-29 N. M. Chtchelkatchev , S. -T. Chui , V. N. Ryzhov

The stability features of steady states of the spherically symmetric Einstein-Vlasov system are investigated numerically. We find support for the conjecture by Zeldovich and Novikov that the binding energy maximum along a steady state…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Hakan Andreasson , Gerhard Rein

We study relativistic stars in the context of scalar tensor theories of gravity that try to account for the observed cosmic acceleration and satisfy the local gravity constraints via the chameleon mechanism. More specifically, we consider…

General Relativity and Quantum Cosmology · Physics 2015-03-13 E. Babichev , D. Langlois

New coherent states may be induced by pertinently engineering the topology of a network. As an example, we consider the properties of non-interacting bosons on a star network, which may be realized with a dilute atomic gas in a star-shaped…

Statistical Mechanics · Physics 2007-05-23 I. Brunelli , G. Giusiano , F. P. Mancini , P. Sodano , A. Trombettoni

We consider a system of weakly interacting bosons confined on a planar double lattice ring subjected to two artificial gauge fields. This system is known to display three phases, the Meissner phase where the flow of particles is carried at…

Quantum Gases · Physics 2020-04-01 Nicolas Victorin , Paolo Pedri , Anna Minguzzi

We consider the model of modified gravity with dynamical torsion. This model was found to have promising stability properties about various backgrounds. The model admits a self-accelerating solution. We have shown previously that if the…

High Energy Physics - Theory · Physics 2018-03-28 V. Nikiforova

The classical model of a star is the Lane-Emden star with dynamics governed by the Euler-Poisson equations. We consider the case of a liquid star with a "stiffened gas" equation of state $p=\rho^\gamma-1$. We derive the full 3D linearised…

Analysis of PDEs · Mathematics 2026-03-05 King Ming Lam

The phase transition around the critical point in the evolution from spherical to deformed gamma-unstable shapes is investigated in odd nuclei within the Interacting Boson Fermion Model. We consider the particular case of an odd j=3/2…

Nuclear Theory · Physics 2008-11-26 C. E. Alonso , J. M. Arias , L. Fortunato , A. Vitturi

We study radial perturbations of spherically symmetric spin-$0$ and spin-$1$ bosonic stars, computing numerically the squared frequency of the fundamental mode. We find that not all critical points $-$ where the Arnowitt-Deser-Misner mass…

General Relativity and Quantum Cosmology · Physics 2024-07-01 Nuno M. Santos , Carolina L. Benone , Carlos A. R. Herdeiro

We study the stabilization issue of the Benjamin-Bona-Mahony (BBM) equation on a finite star-shaped network with a damping term acting on the central node. In a first time, we prove the well-posedness of this system. Then thanks to the…

Analysis of PDEs · Mathematics 2018-03-22 Kaïs Ammari , Emmanuelle Crépeau

We suggest some possible approaches of the unified equations of boson and fermion, which correspond to the unified statistics at high energy. A. The spin terms of equations can be neglected. B. The mass terms of equations can be neglected.…

General Physics · Physics 2009-09-09 Yi-Fang Chang

The stability of the orbital motion of two long cylindrical magnets interacting exclusively with magnetic forces is described. To carry out analytical studies a model of magnetically interacting symmetric tops [1] is used. The model was…

Mathematical Physics · Physics 2011-01-18 Stanislav Zub

Quantum gases consisting of species with distinct quantum statistics, such as Bose-Fermi mixtures, can behave in a fundamentally different way than their unmixed constituents. This makes them an essential platform for studying emergent…

Stochastic perturbations (radial) of a spherically symmetric relativistic star, modeled by a perfect fluid in comoving coordinates for the collapse scenario are worked out using the classical Einstein- Langevin equation, which has been…

General Relativity and Quantum Cosmology · Physics 2019-04-09 Seema Satin

It is well known that the particles in a beam of Boson obeying Bose-Einstein statistics tend to cluster (bunching effect), while the particles in a degenerate beam of Fermion obeying Fermi-Dirac statistics expel each other (anti-bunching…

Condensed Matter · Physics 2009-11-07 Baigeng Wang , Jian Wang

We investigate boson stars in an $O(3)$ scalar field theory with a symmetry-breaking potential. By constructing numerically spherically symmetric solutions, we demonstrate that the model gives rise to a rich set of field configurations. The…

High Energy Physics - Theory · Physics 2026-01-13 Jutta Kunz , Aliaksei Mikhaliuk , Yakov Shnir

In this paper we study a system of coupled nonlinear Schrodinger equations modelling a quantum degenerate mixture of bosons and fermions. We analyze the stability of plane waves, give precise conditions for the existence of solitons and…

Pattern Formation and Solitons · Physics 2007-05-23 Juan Belmonte-Beitia , Victor M. Perez-Garcia , Vadym Vekslerchik

We discuss thermodynamic stability of neutral real (quantum) matter from the point of view of a computer experiment at finite, non-zero, temperature. We perform (restricted) path integral Monte Carlo simulations of the two component plasma…

Statistical Mechanics · Physics 2018-04-17 Riccardo Fantoni

We study a mixture of fermionic and bosonic cold atoms on a two-dimensional optical lattice, where the fermions are prepared in two hyperfine (isospin) states and the bosons have Bose-Einstein condensed (BEC). The coupling between the…

Superconductivity · Physics 2007-10-30 F. D. Klironomos , S. -W. Tsai
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