ANALYTICITY OF THE CORRELATION FUNCTIONS FOR ONE-DIMENSIONAL CLASSICAL SYSTEMS WITH POWER LAW DECAY OF THE POTENTIAL

1974 ◽  
Vol 23 (1) ◽  
pp. 13-44 ◽  
Author(s):  
R L Dobrušin
Keyword(s):  
Power Law ◽  
Correlation Functions ◽  
One Dimensional ◽  
Classical Systems ◽  
Power Law Decay

HEAT CONDUCTION IN HOMOGENEOUS AND HETEROGENEOUS BILLIARD SYSTEMS

2008 ◽  
Vol 22 (22) ◽  
pp. 3901-3914 ◽  
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.

scholarly journals One-dimensional quantum walks via generating function and the CGMV method

2014 ◽  
Vol 14 (13&14) ◽  
pp. 1165-1186
Author(s):  
Norio Konno ◽  
Etsuo Segawa
Keyword(s):  
Limit Theorem ◽  
Weak Convergence ◽  
Generating Function ◽  
Power Law ◽  
Quantum Walk ◽  
Quantum Walks ◽  
Linear Scaling ◽  
One Dimensional ◽  
Power Law Decay ◽  
Quantum Coin

We treat quantum walk (QW) on the line whose quantum coin at each vertex tends to the identity as the distance goes to infinity. We obtain a limit theorem that this QW exhibits localization with not an exponential but a ``power-law" decay around the origin and a ``strongly" ballistic spreading called bottom localization in this paper. This limit theorem implies the weak convergence with linear scaling whose density has two delta measures at $x=0$ (the origin) and $x=1$ (the bottom) without continuous parts.

Transient convective diffusion to a uniformly accessible surface under aparent slip conditions

1991 ◽  
Vol 56 (2) ◽  
pp. 334-343
Author(s):  
Ondřej Wein
Keyword(s):  
Power Law ◽  
Analytical Solutions ◽  
Convective Diffusion ◽  
Active Surface ◽  
Velocity Profiles ◽  
One Dimensional ◽  
Slip Conditions ◽  
Accessible Surface ◽  
Diffusion Problems

Analytical solutions are given to a class of unsteady one-dimensional convective-diffusion problems assuming power-law velocity profiles close to the transport-active surface.

scholarly journals Sudden Expansion of a One-Dimensional Bose Gas from Power-Law Traps

2015 ◽  
Vol 114 (12) ◽  
Author(s):  
A. S. Campbell ◽  
D. M. Gangardt ◽  
K. V. Kheruntsyan
Keyword(s):  
Power Law ◽  
Bose Gas ◽  
Sudden Expansion ◽  
One Dimensional

scholarly journals Restoring phase coherence in a one-dimensional superconductor using power-law electron hopping

2013 ◽  
Vol 88 (13) ◽  
Author(s):  
Alejandro M. Lobos ◽  
Masaki Tezuka ◽  
Antonio M. García-García
Keyword(s):  
Power Law ◽  
Phase Coherence ◽  
Electron Hopping ◽  
One Dimensional
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