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The Fourier spectral techniques that are common in Astronomy for analyzing periodic or multi-periodic light-curves lose their usefulness when they are applied to unsteady light-curves. We review some of the novel techniques that have been…

Astrophysics · Physics 2016-01-27 J. Robert Buchler , Zoltan Kollath

The eigenstates of a chaotic system can be enhanced along underlying unstable periodic orbits in so-called quantum scars, making it more likely for a particle launched along one such orbits to be found still there at long times. Unstable…

Quantum Physics · Physics 2025-04-09 Andrea Pizzi

We analyse the motion of a system of particles subjected a random force fluctuating in both space and time, and experiencing viscous damping. When the damping exceeds a certain threshold, the system undergoes a phase transition: the…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Wilkinson , B. Mehlig

Using a combination of semiclassical and recently developed wave packet propagation techniques we find the quantum self-ionization process of highly excited ions moving in magnetic fields which has its origin in the energy transfer from the…

Atomic Physics · Physics 2009-11-06 Vladimir Melezhik , Peter Schmelcher

We analyze the problem of calculating the solutions and the spectrum of a string with arbitrary density and fixed ends. We build a perturbative scheme which uses a basis of WKB-type functions and obtain explicit expressions for the…

Mathematical Physics · Physics 2015-05-20 Paolo Amore

We derive the modified Dirac equation for an electron undergos an influence of the standard model interaction with the nuclear matter. The exact solutions for this equation and the electron energy spectrum in matter are obtained. This…

High Energy Physics - Phenomenology · Physics 2009-11-11 Alexander Grigoriev , Sergey Shinkevich , Alexander Studenikin , Alexei Ternov , Ilya Trofimov

The two-loop quark Regge trajectory is obtained at arbitrary space-time dimension D using the s-channel unitarity conditions. Although explicit calculations are performed for massless quarks, the method used allows to find the trajectory…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. V. Bogdan , V. S. Fadin

In this study we derive a single-particle equation of motion, from first-principles, starting out with a microscopic description of a tracer particle in a one-dimensional many-particle system with a general two-body interaction potential.…

Statistical Mechanics · Physics 2015-05-14 Ludvig Lizana , Tobias Ambjornsson , Alessandro Taloni , Eli Barkai , Michael A. Lomholt

We study the spectral statistics of quantum (metric) graphs whose vertices are equipped with preferred orientation vertex conditions. When comparing their spectral statistics to those predicted by suitable random matrix theory ensembles,…

Spectral Theory · Mathematics 2025-08-08 Ram Band , Pavel Exner , Divya Goel , Aviya Strauss

Fundamental problems of periodicity and transient process to periodicity of chaotic trajectories in computer realization with finite computation precision is investigated by taking single and coupled Logistic maps as examples. Empirical…

Chaotic Dynamics · Physics 2009-11-10 Shihong Wang , Weirong Liu , Huaping Lu , Jinyu Kuang , Gang Hu

We investigate the bounds between normal or anomalous effective diffusion for inertial particles transported by parallel flows. The infrared behavior of the fluid kinetic-energy spectrum, i.e. the possible presence of long-range…

Fluid Dynamics · Physics 2014-07-07 Marco Martins Afonso

We obtain the existence, uniqueness and regularity results for solutions to kinetic Fokker-Planck equations with bounded measurable coefficients in the presence of boundary conditions, including the inflow, diffuse reflection and specular…

Analysis of PDEs · Mathematics 2025-02-25 Yuzhe Zhu

We survey contemporary studies of hadrons and strongly interacting quarks using QCD's Dyson-Schwinger equations, addressing: aspects of confinement and dynamical chiral symmetry breaking; the hadron spectrum; hadron elastic and transition…

We study a third-order nonlinear ordinary differential equation whose solutions, under certain specific conditions, are individual pulses. These correspond to homoclinic orbits in the phase space of the equation and we study the possible…

chao-dyn · Physics 2008-02-03 N. J. Balmforth , G. R. Ierley , E. A. Spiegel

The energy radiated by moving cracks in a discrete background is analyzed. The energy flow through a given surface is expressed in terms of a generalized Poynting vector. The velocity of the crack is determined by the radiation by the crack…

Materials Science · Physics 2009-11-07 S. Fratini , O. Pla , P. Gonzalez , F. Guinea , E. Louis

We establish exactly solvable models for the motion of neutral particles, electrically charged point and spin particles (U(1) symmetry), isospin particles (SU(2) symmetry), and particles with color charges (SU(3) symmetry) in a…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Alexander B. Balakin , Veronika R. Kurbanova , Winfried Zimdahl

Infrared spectroscopy has emerged as a premier experimental technique to probe enigmatic effects arising from strong correlations in solids. Here we report on recent advances in this area focusing on common patterns in correlated electron…

Superconductivity · Physics 2009-11-11 S. V. Dordevic , D. N. Basov

We investigate potential quantum nonlinear corrections to Dirac's equation through its sub-leading effect on neutrino oscillation probabilities. Working in the plane-wave approximation and in the $\mu-\tau$ sector, we explore various…

High Energy Physics - Phenomenology · Physics 2011-02-08 Wei Khim Ng , Rajesh R. Parwani

In the colour string model the impact of string percolation on multiplicities, their long-range correlations and average transverse momentum is studied. The multiplicities are shown to be damped by a simple factor which follows from the…

High Energy Physics - Phenomenology · Physics 2011-09-13 M. A. Braun , C. Pajares

While a wealth of results has been obtained for chaos in single-particle quantum systems, much less is known about chaos in quantum many-body systems. We contribute to recent efforts to make a semiclassical analysis of such systems…

Chaotic Dynamics · Physics 2017-04-26 Maram Akila , Daniel Waltner , Boris Gutkin , Petr Braun , Thomas Guhr