ANOMALOUS DIFFUSION ON A ONE-DIMENSIONAL FRACTAL LORENTZ GAS WITH TRAPPING ATOMS

Abstract This paper deals with the unique continuation of solutions for a one-dimensional anomalous diffusion equation with Caputo derivative of order α ∈ (0, 1). Firstly, the uniqueness of solutions to a lateral Cauchy problem for the anomalous diffusion equation is given via the Theta function method, from which we further verify the unique continuation principle.

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Entropic Characterisation of Diffusion

Zeitschrift für Naturforschung A ◽

10.1515/zna-1994-1218 ◽

1994 ◽

Vol 49 (12) ◽

pp. 1215-1218 ◽

Cited By ~ 1

Author(s):

R. Stoop ◽

W.-H. Steeb

Keyword(s):

Anomalous Diffusion ◽

Thermodynamic Approach ◽

One Dimensional ◽

Unit Cells ◽

One Dimensional Maps ◽

Entropy Functions ◽

Critical Lines

Abstract The thermodynamic approach is applied for the description of normal and anomalous diffusion of one-dimensional maps on a grid of unit cells. The characteristic entropy functions are calculated. For the anomalous cases, the locations of the critical lines are determined.

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HEAT CONDUCTION IN HOMOGENEOUS AND HETEROGENEOUS BILLIARD SYSTEMS

International Journal of Modern Physics B ◽

10.1142/s0217979208048693 ◽

2008 ◽

Vol 22 (22) ◽

pp. 3901-3914 ◽

Cited By ~ 1

Author(s):

JUN-WEN MAO ◽

YOU-QUAN LI ◽

LING-YUN DENG

Keyword(s):

Heat Conduction ◽

Phase Space ◽

Power Law ◽

Heat Conductivity ◽

Lorentz Gas ◽

Rotating Disks ◽

One Dimensional ◽

Power Law Decay ◽

The Moment ◽

Good Agreement

We investigate the heat conduction in a modified Lorentz gas with freely rotating disks periodically placed along one-dimensional channel. The heat conductivity is dependent on the moment of inertia η of the disks, with a power-law decay when η > 1. By plotting the Poincaré surface of the section, we observe a contraction of phase space over the range of η > 1, which is sensitive to the initial condition. We find that the power-law decay of the heat conductivity is relevant to the mixing phase space. As a possible application, we model the heterostructure by connecting the segments of different η, and predict the analytical results of the temperature profiles and the heat conductivity, which are in good agreement with the numerical ones.

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Molecular dynamics simulation of anomalous diffusion of one-dimensional water molecule chains in Li-ABW zeolite

Microporous and Mesoporous Materials ◽

10.1016/j.micromeso.2005.07.007 ◽

2005 ◽

Vol 86 (1-3) ◽

pp. 166-175 ◽

Cited By ~ 25

Author(s):

P. Demontis ◽

G. Stara ◽

G.B. Suffritti

Keyword(s):

Molecular Dynamics ◽

Molecular Dynamics Simulation ◽

Water Molecule ◽

Anomalous Diffusion ◽

Dynamics Simulation ◽

One Dimensional

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Control of anomalous diffusion of a Bose polaron

Quantum ◽

10.22331/q-2020-02-20-232 ◽

2020 ◽

Vol 4 ◽

pp. 232

Author(s):

Christos Charalambous ◽

Miguel Ángel García-March ◽

Gorka Muñoz-Gil ◽

Przemysław Ryszard Grzybowski ◽

Maciej Lewenstein

Keyword(s):

Anomalous Diffusion ◽

Coupling Strength ◽

Rabi Frequency ◽

Einstein Condensate ◽

The Other ◽

One Dimensional ◽

Bose Einstein Condensate ◽

Coherent Coupling ◽

Two Component ◽

Bose Einstein

We study the diffusive behavior of a Bose polaron immersed in a coherently coupled two-component Bose-Einstein Condensate (BEC). We assume a uniform, one-dimensional BEC. Polaron superdiffuses if it couples in the same manner to both components, i.e. either attractively or repulsively to both of them. This is the same behavior as that of an impurity immersed in a single BEC. Conversely, the polaron exhibits a transient nontrivial subdiffusive behavior if it couples attractively to one of the components and repulsively to the other. The anomalous diffusion exponent and the duration of the subdiffusive interval can be controlled with the Rabi frequency of the coherent coupling between the two components, and with the coupling strength of the impurity to the BEC.

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