Directed Motion Induced by a Cyclic Stochastic Process

The motion of Brownian particles in a spatial symmetric periodic potential is considered. In the absence of any external driving forces, when the potential profile fluctuates cyclically between three states, directed motion can be induced. For a cosine potential, the finite probability current is evaluated.

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DIRECTED MOTION INDUCED BY SHIFTING RATCHET

International Journal of Modern Physics B ◽

10.1142/s0217979200002235 ◽

2000 ◽

Vol 14 (24) ◽

pp. 2609-2616 ◽

Cited By ~ 1

Author(s):

YUXIAO LI ◽

XIZHEN WU ◽

YIZHONG ZHUO

Keyword(s):

Driving Force ◽

Transition Rate ◽

Average Velocity ◽

Thermal Noise ◽

Periodic Potential ◽

Directed Motion ◽

Brownian Particles

The motion of Brownian particles in a spatial asymmetric periodic potential is considered. In the absence of any external macroscopic driving force, when the potential transits stochastically between two configurations which are shifted by a distance relative to each other, directed motion can be induced. The dependence of the average velocity on the transition rate, the strength of thermal noise and the shift distance between the two configurations of potential are analyzed. The efficiency of the system is evaluated.

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Solitary waves in the nonlinear Dirac equation in the presence of external driving forces

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/49/6/065402 ◽

2016 ◽

Vol 49 (6) ◽

pp. 065402 ◽

Cited By ~ 8

Author(s):

Franz G Mertens ◽

Fred Cooper ◽

Niurka R Quintero ◽

Sihong Shao ◽

Avinash Khare ◽

...

Keyword(s):

Dirac Equation ◽

Solitary Waves ◽

Driving Forces ◽

Nonlinear Dirac Equation ◽

External Driving

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Bandgap Tunability in a One-Dimensional System

Condensed Matter ◽

10.3390/condmat3040034 ◽

2018 ◽

Vol 3 (4) ◽

pp. 34

Author(s):

Payal Wadhwa ◽

Shailesh Kumar ◽

T.J. Kumar ◽

Alok Shukla ◽

Rakesh Kumar

Keyword(s):

Solar Cells ◽

Periodic Potential ◽

Functional Group ◽

Potential Profile ◽

Dimensional System ◽

Natural Polymers ◽

One Dimensional ◽

Direct Bandgap ◽

Inorganic Systems ◽

Theoretical Investigations

The ability to tune the gaps of direct bandgap materials has tremendous potential for applications in the fields of LEDs and solar cells. However, lack of reproducibility of bandgaps due to quantum confinement observed in experiments on reduced dimensional materials, severely affects tunability of their bandgaps. In this article, we report broad theoretical investigations of direct bandgap one-dimensional functionalized isomeric system using their periodic potential profile, where bandgap tunability is demonstrated simply by modifying the potential profile by changing the position of the functional group in a periodic supercell. We found that bandgap in one-dimensional isomeric systems having the same functional group depends upon the width and depth of the deepest potential well at global minimum and derived correlations are verified for known synthetic as well as natural polymers (biological and organic), and also for other one-dimensional direct bandgap systems. This insight would greatly help experimentalists in designing new isomeric systems with different bandgap values for polymers and one-dimensional inorganic systems for possible applications in LEDs and solar cells.

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Nonstationary time series prediction combined with slow feature analysis

Nonlinear Processes in Geophysics ◽

10.5194/npg-22-377-2015 ◽

2015 ◽

Vol 22 (4) ◽

pp. 377-382 ◽

Cited By ~ 2

Author(s):

G. Wang ◽

X. Chen

Keyword(s):

Time Series ◽

Predictive Model ◽

Driving Forces ◽

Time Series Prediction ◽

Nonstationary Time Series ◽

Feature Analysis ◽

State Variables ◽

Slow Feature Analysis ◽

Almost All ◽

External Driving

Abstract. Almost all climate time series have some degree of nonstationarity due to external driving forces perturbing the observed system. Therefore, these external driving forces should be taken into account when constructing the climate dynamics. This paper presents a new technique of obtaining the driving forces of a time series from the slow feature analysis (SFA) approach, and then introduces them into a predictive model to predict nonstationary time series. The basic theory of the technique is to consider the driving forces as state variables and to incorporate them into the predictive model. Experiments using a modified logistic time series and winter ozone data in Arosa, Switzerland, were conducted to test the model. The results showed improved prediction skills.

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Extension of generalized Kramers theory in the spatial diffusion regime: Diffusion of Brownian particles in periodic potential

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2019.123836 ◽

2020 ◽

Vol 547 ◽

pp. 123836

Author(s):

Wen-Yue Fan ◽

Zhan-Wu Bai ◽

Wei Zhang ◽

Li-Ping Ding

Keyword(s):

Periodic Potential ◽

Diffusion Regime ◽

Spatial Diffusion ◽

Brownian Particles

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Quasideterministic transport of Brownian particles in an oscillating periodic potential

Physical Review E ◽

10.1103/physreve.81.061120 ◽

2010 ◽

Vol 81 (6) ◽

Cited By ~ 17

Author(s):

Pawel Romanczuk ◽

Felix Müller ◽

Lutz Schimansky-Geier

Keyword(s):

Periodic Potential ◽

Brownian Particles

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A Research on the Driving Forces of Xinjiang Geological Heritage Resources Development from the Perspective of Tourism

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.518-523.5905 ◽

2012 ◽

Vol 518-523 ◽

pp. 5905-5908 ◽

Cited By ~ 1

Author(s):

Cui Lin Li

Keyword(s):

Sustainable Development ◽

Driving Force ◽

Government Regulation ◽

Driving Forces ◽

Geological Heritage ◽

Regional Economic ◽

Resource Endowment ◽

The Government ◽

External Driving ◽

Resources Development

Developing geological heritage resource from the perspective of tourism is a new pattern of resource using. The development of Xinjiang geological heritage resource is restricted and effected by the internal and external driving forces and support. The internal driving force includes the resource endowment and the need for regional economic and sustainable development; the external driving force includes the competition of tourism, the market and the government regulation; support includes the construction of infrastructure, the improvement of tourism facilities and ecological support. All these forces restrict and effect each other and become a harmonious whole.

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A Theoretical Analysis of Timber Drying in Oscillating Climates

Holzforschung ◽

10.1515/hf.2003.063 ◽

2003 ◽

Vol 57 (4) ◽

pp. 427-432 ◽

Cited By ~ 9

Author(s):

J.-G. Salin

Keyword(s):

Surface Layer ◽

Theoretical Analysis ◽

Simulation Model ◽

Driving Forces ◽

Point Of View ◽

Drying Rate ◽

Drying Time ◽

Practical Point ◽

Board Surface ◽

External Driving

Summary In this study the influence of oscillating climates on the drying of timber is investigated theoretically. First, the effect of oscillations superimposed on an ordinary drying schedule is examined by solving the corresponding partial differential equations. It is shown that the average drying rate is not affected by the oscillations. Second, properly selected oscillation amplitudes and frequencies can result in enhanced mechano-sorptive creep in the board surface layer, which enables increased external driving forces with an unchanged risk of checking. This method is analysed by using a drying simulation model. It is shown that substantial reductions in the drying time can be obtained in theory. From a practical point of view the benefit is probably rather marginal.

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