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This paper explores the exponential stability of two nonlinear wave equations coupled through their velocities. The analysis is divided into two main cases. First, we consider a system where one equation is damped, while the other…

Analysis of PDEs · Mathematics 2025-07-11 Alhabib Moumni , Cristina Pignotti , Jawad Salhi , Mouhcine Tilioua

We study the stability and the modes of non -- isothermal coronal loop models with different intensity values of the equilibrium twisted magnetic field.We use an energy principle obtained via non -- equilibrium thermodynamic arguments. The…

Astrophysics · Physics 2009-11-13 A. Costa , R. Gonzalez

We study non-linear phenomena in double barrier heterostructures. Systems in 3D under the effect of an external magnetic field along the current and 1D systems are analyzed. Non-linearities are reflected in the I-V characteristic curve as…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. S. Rodrigues , E. V. Anda , P. Orellana , F. Claro

Non-collisional current sheets that form during the nonlinear development of magnetic reconnection are characterized by a small thickness, of the order of the electron skin depth. They can become unstable to the formation of plasmoids,…

Quantum oscillations of nonlinear resistance are investigated in response to electric current and magnetic field applied perpendicular to single GaAs quantum wells with two populated subbands. At small magnetic fields current-induced…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Scott Dietrich , Sean Byrnes , Sergey Vitkalov , A. V. Goran , A. A. Bykov

The stable operation of the electric power grid relies on a precisely synchronized state of all generators and machines. All machines rotate at exactly the same frequency with fixed phase differences, leading to steady power flows…

Adaptation and Self-Organizing Systems · Physics 2020-01-09 Chiara Balestra , Franz Kaiser , Debsankha Manik , Dirk Witthaut

On the basis of the transfer matrix technique an analytical method to investigate the stationary states, for an electron in one-dimensional periodic structures in an external electrical field, displaying the symmetry of the problem is…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 N. L. Chuprikov

We show that nonlinear resonances in a classically mixed phase space allow to define generic, strongly entangled multi-partite quantum states. The robustness of their multipartite entanglement increases with the particle number, i.e. in the…

Quantum Physics · Physics 2009-11-13 Ignacio Garcia-Mata , Andre R. R. Carvalho , Florian Mintert , Andreas Buchleitner

Persistent currents and magnetization are considered for a two-dimensional electron (or gas of electrons) coupled to various magnetic fields. Thermodynamic formulae for the magnetization and the persistent current are established and the…

Condensed Matter · Physics 2009-10-31 Jean Desbois , Stephane Ouvry , Christophe Texier

Multistability cannot be derived from any theoretical model that is based on a monostable master equation. On the other hand, multistability is experimentally-observed in a variety of quantum systems. A master equation having a nonlinear…

Quantum Physics · Physics 2024-06-19 Eyal Buks

Reaction diffusion systems with Turing instability and mass conservation are studied. In such systems, abrupt decays of stripes follow quasi-stationary states in sequence. At steady state, the distance between stripes is much longer than…

Pattern Formation and Solitons · Physics 2009-11-11 Shuji Ishihara , Mikiya Otsuji , Atsushi Mochizuki

Under certain conditions we prove the existence of a steady-state transport regime for interacting mesoscopic systems coupled to reservoirs (leads). The partitioning and partition-free scenarios are treated on an equal footing. Our…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Valeriu Moldoveanu , Horia D. Cornean , Claude-Alain Pillet

We study nonlinear response of a spin $S>1/2$ with easy-axis anisotropy. The response displays sharp dips or peaks when the modulation frequency is adiabatically swept through multiphoton resonance. The effect is a consequence of a special…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 C. Hicke , M. I. Dykman

Recently, it has been proposed a spacetime noncommutativity that involves spin degrees of freedom, here called "spin noncommutativity". One of the motivations for such a construction is that it preserves Lorentz invariance, which is…

High Energy Physics - Theory · Physics 2015-06-05 A. F. Ferrari , M. Gomes , V. G. Kupriyanov , C. A. Stechhahn

The thermodynamics of a spin-1/2 magnetic multilayer system with antiferromagnetic interplanar couplings is studied using the Pair Approximation method. The special attention is paid to magnetocaloric properties, quantified by isothermal…

Materials Science · Physics 2014-09-09 Karol Szałowski , Tadeusz Balcerzak

The stability of the ideal magnetohydrodynamic (MHD) interchange mode at marginal conditions is studied. A sufficiently strong constant magnetic field component transverse to the direction of mode symmetry provides the marginality…

Plasma Physics · Physics 2012-11-26 Jupiter Bagaipo , P. N. Guzdar , A. B. Hassam

The theory of charge and spin transport in forward-biased Schottky barriers reveals characteristic and experimentally relevant features. The conductance mismatch is found to enhance the current induced spin-imbalance in the semiconductor.…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Gerrit E. W. Bauer , Yaroslav Tserkovnyak , Arne Brataas , Jun Ren , Ke Xia , Maciej Zwierzycki , Paul J. Kelly

Topological protection precludes a continuous deformation between topologically inequivalent configurations in a continuum. Motivated by this concept, magnetic skyrmions, topologically nontrivial spin textures, are expected to exhibit the…

We argue by way of examples that, as a nonlinear integral equation, the gap equation can and does possess many physically distinct solutions for the dressed-quark propagator. The examples are drawn from a class that is successful in…

Nuclear Theory · Physics 2013-01-08 Kun-lun Wang , Si-xue Qin , Yu-xin Liu , Lei Chang , Craig D. Roberts , Sebastian M. Schmidt

This work deals with a scalar nonlinear neutral delay differential equation issued from the study of wave propagation. A critical value of the coefficients is considered, where only few results are known. The difficulty follows from the…

Classical Analysis and ODEs · Mathematics 2014-02-04 Stéphane Junca , Bruno Lombard
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