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Aims. The random walk of energetic charged particles in turbulent magnetic fields is investigated. Special focus is placed on transport across the mean magnetic field, which had been found to be subdiffusive on many occasions. Therefore, a…

High Energy Astrophysical Phenomena · Physics 2016-06-29 R. C. Tautz

Segregation of different cell types is a crucial process for the pattern formation in tissues, in particular during embryogenesis. Since the involved cell interactions are complex and difficult to measure individually in experiments,…

Cell Behavior · Quantitative Biology 2022-09-21 Florian Franke , Sebatian Aland , Hans-Joachim Böhme , Anja Voss-Böhme , Steffen Lange

The mass spectra of charmonia, bottomonia and B_c mesons are calculated in the framework of the QCD-motivated relativistic quark model based on the quasipotential approach. The dynamics of heavy quarks and antiquarks is treated fully…

High Energy Physics - Phenomenology · Physics 2013-04-12 D. Ebert , R. N. Faustov , V. O. Galkin

We study general linear transport-reaction systems on an arbitrary dimensional hypercube with periodic boundary conditions. Transport-reaction systems are often used to model the finite speed movement and interaction of particles, bacteria…

Analysis of PDEs · Mathematics 2022-10-04 Benedikt Geiger

The two-dimensional cage model for polymer motion is discussed with an emphasis on the effect of sideways motions, which cross the barriers imposed by the lattice. Using the Density Matrix Method as a solver of the Master Equation, the…

Statistical Mechanics · Physics 2009-11-11 Andrzej Drzewinski , J. M. J. van Leeuwen

It is argued that continuum realisations of distributions of collisionless charged particles should accommodate a dynamically evolving number of electric currents even if the continuum is composed of only one species of particle, such as…

Plasma Physics · Physics 2008-11-26 D. A. Burton , J. Gratus , R. W. Tucker

Futher development is made of a consept of space-time as multidimensional elastic plate, proposed earlier in [20,21]. General equilibrium equations, including 4-dimensional tangent stress tensor - energy-momentum tensor of matter - are…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Sergey Kokarev

A time-dependent no-recrossing dividing surface is shown to lead to a new criterion for identifying reactive trajectories well before they are evolved to infinite time. Numerical dynamics simulations of a dissipative anharmonic…

Statistical Mechanics · Physics 2009-11-11 Thomas Bartsch , T. Uzer , Jeremy M. Moix , Rigoberto Hernandez

This paper proposes a spatial threshold GARCH-type model for dynamic spatio-temporal integer-valued data with network structure. The proposed model can simplify the parameterization by using network structure in data, and can capture the…

Methodology · Statistics 2024-09-19 Yue Pan , Jiazhu Pan

A model Hamiltonian for the reaction CH$_4^+ \rightarrow$ CH$_3^+$ + H, parametrized to exhibit either early or late inner transition states, is employed to investigate the dynamical characteristics of the roaming mechanism. Tight/loose…

Chemical Physics · Physics 2015-06-18 F. A. L. Mauguière , P. Collins , G. S. Ezra , S. C. Farantos , S. Wiggins

We identify the nonlinear evolution equation in impact-parameter space for the "Supercritical Pomeron" in Reggeon Field Theory as a 2-dimensional stochastic Fisher and Kolmogorov-Petrovski-Piscounov equation. It exactly preserves unitarity…

High Energy Physics - Phenomenology · Physics 2014-11-20 Robi Peschanski

Front dynamics modeled by a reaction-diffusion equation are studied under the influence of spatio-temporal structured noises. An effective deterministic model is analytical derived where the noise parameters, intensity, correlation time and…

Statistical Mechanics · Physics 2009-11-07 Miguel A. Santos , J. M. Sancho

We investigate the spatially and temporally resolved electron kinetics in a homogeneous electric field in argon gas, in the vicinity of an emitting boundary. This (transient) region, where the electron swarm exhibits non-equilibrium…

Plasma Physics · Physics 2020-01-08 Z. Donko , P. Hartmann , I. Korolov , V. Jeges , D. Bosnjakovic , S. Dujko

A modified static exchange model is introduced, it could be useful to control the elastic s-wave scattering length in studying cold-atomic interaction. The theory includes the long-range van der Waals interaction in addition to short-range…

Atomic Physics · Physics 2012-10-09 Hasi Ray

We apply periodic orbit theory to study the asymptotic distribution of escape times from an intermittent map. The dynamical zeta function exhibits a branch point which is associated with an asymptotic power law escape. By an analytic…

chao-dyn · Physics 2009-10-31 Per Dahlqvist

We discuss the symmetry properties of the reparametrization invariant model of an interacting relativistic particle where the electromagnetic field is taken as the constant background field. The direct coupling between the relativistic…

High Energy Physics - Theory · Physics 2008-11-26 R. P. Malik

Based on numerical simulation and local stability analysis we describe the structure of the phase space of the edge/triangle model of random graphs. We support simulation evidence with mathematical proof of continuity and discontinuity for…

Combinatorics · Mathematics 2017-10-25 Richard Kenyon , Charles Radin , Kui Ren , Lorenzo Sadun

We investigate the nonequilibrium roughening transition of a one-dimensional restricted solid-on-solid model by directly sampling the stationary probability density of a suitable order parameter as the surface adsorption rate varies. The…

Statistical Mechanics · Physics 2012-05-10 J. Ricardo G. Mendonça

This paper examines a model involving two dynamic Erd\H{o}s-R\'enyi random graphs that evolve in parallel, with edges in each graph alternating between being present and absent according to specified on- and off-time distributions. A key…

Probability · Mathematics 2025-05-27 Michel Mandjes , Jiesen Wang

The mobility edge is extracted from a non-perturbative analysis of F. Wegner's real matrix ensemble (RME), $N$-orbital model of electrons with broken time-reversal invariance moving in random potential. The replicon fluctuations around the…

Disordered Systems and Neural Networks · Physics 2012-06-19 Shimul Akhanjee