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We study some dynamical properties of a Lorentz gas. We have considered both the static and time dependent boundary. For the static case we have shown that the system has a chaotic component characterized with a positive Lyapunov Exponent.…

混沌动力学 · 物理学 2015-05-19 Diego F. M. Oliveira , Jürgen Vollmer , Edson D. Leonel

The Fermi acceleration model was introduced to describe how cosmic ray particles are accelerated to great speeds by interacting with moving magnetic fields. We identify a new variation of the model where light ions interact with a moving…

等离子体物理 · 物理学 2022-02-02 J. C. Waybright , M. E. Mlodik , N. J. Fisch

The dynamics of a point charged particle which is driven by a uniform external electric field and moves in a medium of elastic scatterers is investigated. Using rudimentary approaches, we reproduce, in one dimension, the known results that…

统计力学 · 物理学 2009-10-28 P. L. Krapivsky , S. Redner

We introduce a simple stochastic system able to generate anomalous diffusion both for position and velocity. The model represents a viable description of the Fermi's acceleration mechanism and it is amenable to analytical treatment through…

统计力学 · 物理学 2009-11-10 Freddy Bouchet , Fabio Cecconi , Angelo Vulpiani

A fundamental problem of out-of-equilibrium physics is the speed at which the order parameter grows upon crossing a phase transition. Here, we investigate the dynamics of ordering in a Fermi gas undergoing a density-wave phase transition…

We study the one-dimensional Fermi gas subject to dissipative reactions. The dynamics is governed by the quantum master equation, where the Hamiltonian describes coherent motion of the particles, while dissipation accounts for irreversible…

统计力学 · 物理学 2026-04-06 Hannah Lehr , Igor Lesanovsky , Gabriele Perfetto

Exact and closed-form expressions of the particle density, the kinetic energy density, the probability current density, and the momentum distribution are derived for a coherent state of a noninteracting Fermi gas, while such a state can be…

介观与纳米尺度物理 · 物理学 2008-03-21 Dae-Yup Song

The phenomenon of Fermi acceleration is addressed for a dissipative bouncing ball model with external stochastic perturbation. It is shown that the introduction of energy dissipation (inelastic collisions of the particle with the moving…

混沌动力学 · 物理学 2009-03-11 Edson D. Leonel

We show that in the sudden expansion of a spin-balanced two-component Fermi gas into an empty optical lattice induced by releasing particles from a trap, over a wide parameter regime, the radius $R_n$ of the particle cloud grows linearly in…

强关联电子 · 物理学 2012-04-24 S. Langer , M. J. A. Schuetz , I. P. McCulloch , U. Schollwock , F. Heidrich-Meisner

We consider a non-interacting Fermi gas in a combined harmonic and periodic potential. We calculate the energy spectrum and simulate the motion of the gas after sudden replacement of the trap center. For different parameter regimes, the…

软凝聚态物质 · 物理学 2009-11-10 V. Ruuska , P. Torma

In highly conducting astrophysical plasmas, charged particles are generically accelerated through Fermi-type processes involving repeated interactions with moving magnetized scattering centers. The present paper proposes a generalized…

高能天体物理现象 · 物理学 2020-11-19 Martin Lemoine

Combining experiments and numerical simulations, we investigate the redistribution of quasi-momentum in a gas of atoms trapped in an optical lattice when the lattice depth is rapidly reduced. We find that interactions lead to significant…

量子气体 · 物理学 2013-05-14 Stefan S. Natu , David C. McKay , Brian DeMarco , Erich J. Mueller

Energetic particles in a turbulent medium can be subject to second-order Fermi acceleration due to scattering on moving plasma waves. This mechanism leads to growing particle momentum dispersion and, at the same time, increases the mean…

天体物理学 · 物理学 2011-05-23 M. Ostrowski , G. Siemieniec-Oziȩbło

We investigate the dynamical properties of a trapped finite-temperature normal Fermi gas with dipole-dipole interaction. For the free expansion dynamics, we show that the expanded gas always becomes stretched along the direction of the…

量子气体 · 物理学 2015-05-27 J. -N. Zhang , R. -Z. Qiu , L. He , S. Yi

The anomalous (i.e. non-Gaussian) dynamics of particles subject to a deterministic acceleration and a series of 'random kicks' is studied. Based on an extension of the concept of continuous time random walks to position-velocity space, a…

统计力学 · 物理学 2009-11-11 R. Friedrich , F. Jenko , A. Baule , S. Eule

Possible formulations of the problem of cosmic rays acceleration in the interstellar galactic medium are considered with the use of fractional differential equations. The applied technique has been physically justified. A Fermi result has…

星系天体物理 · 物理学 2011-05-19 V. V. Uchaikin

A simplified version of a classical problem in thermodynamics -- the adiabatic piston -- is discussed in the framework of kinetic theory. We consider the limit of gases whose relaxation time is extremely fast so that the gases contained on…

混沌动力学 · 物理学 2009-11-11 Massimo Cencini , Luigi Palatella , Simone Pigolotti , Angelo Vulpiani

A lattice gas with infinite repulsion between particles separated by $\leq 1$ lattice spacing, and nearest-neighbor hopping dynamics, is subject to a drive favoring movement along one axis of the square lattice. The equilibrium (zero drive)…

统计力学 · 物理学 2009-10-31 Ronald Dickman

We investigate the transport properties of non-interacting particles propagating in a finite Lorentz channel (LC). We show that interparticle power-law correlations emerge, when the dynamics is described at a spatially coarse-grained level.…

适应与自组织系统 · 物理学 2012-01-04 Alexandros K. Karlis , Fotios K. Diakonos , Christoph Petri , Peter Schmelcher

We consider the acceleration of energetic particles by Fermi processes (i.e., diffusive shock acceleration, second order Fermi acceleration, and gradual shear acceleration) in relativistic astrophysical jets, with particular attention given…

天体物理学 · 物理学 2008-11-26 Frank M. Rieger , Valenti Bosch-Ramon , Peter Duffy
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