Diffusion current for a system in a periodic potential driven by multiplicative colored noise

1996 ◽  
Vol 215 (3-4) ◽  
pp. 154-159 ◽  
Author(s):  
Jing-Dong Bao ◽  
Yi-Zhong Zhuo ◽  
Xi-Zhen Wu
Keyword(s):  
Colored Noise ◽  
Periodic Potential ◽  
Diffusion Current

Directed motion in a periodic potential of a quantum system coupled to a heat bath driven by a colored noise

2008 ◽  
Vol 78 (2) ◽  
Author(s):  
Satyabrata Bhattacharya ◽  
Pinaki Chaudhury ◽  
Sudip Chattopadhyay ◽  
Jyotipratim Ray Chaudhuri
Keyword(s):  
Quantum System ◽  
Colored Noise ◽  
Periodic Potential ◽  
Heat Bath ◽  
Directed Motion

scholarly journals Rotation in an Asymmetric Multidimensional Periodic Potential due to Colored Noise

2000 ◽  
Vol 84 (23) ◽  
pp. 5243-5246 ◽  
Author(s):  
Avik W. Ghosh ◽  
Sanjay V. Khare
Keyword(s):  
Colored Noise ◽  
Periodic Potential

scholarly journals The transport phenomenon of inertia Brownian particles in a periodic potential with non-Gaussian noise

2019 ◽  
Vol 33 (02) ◽  
pp. 1950004 ◽  
Author(s):  
Bing Wang ◽  
Xiaoxiao Zhang ◽  
Yajuan Sun ◽  
Zhongwei Qu ◽  
Xuechao Li
Keyword(s):  
Transport Phenomenon ◽  
Gaussian Noise ◽  
Average Velocity ◽  
Colored Noise ◽  
Periodic Potential ◽  
Brownian Particles ◽  
Directional Movement ◽  
Gaussian Colored Noise ◽  
Non Gaussian ◽  
And Diffusion

The transport phenomenon (movement and diffusion) of inertia Brownian particles in a periodic potential with non-Gaussian noise is investigated. It is found that proper noise intensity Q will promote particles directional movement (or diffusion), but large Q will inhibit this phenomenon. For large value of Q, the average velocity [Formula: see text] (or the diffusion coefficient D) has a maximum with increasing correlation time [Formula: see text]. But for small value of Q, [Formula: see text] (or D) decreases with increasing [Formula: see text]. In some cases, for the same value of Q and the same value of [Formula: see text], non-Gaussian noise can induce particles directional movement (or diffusion), but Gaussian colored noise cannot.

Influence of free convection on the diffusion current to a sphere in a laminar forced flow regime

1985 ◽  
Vol 50 (12) ◽  
pp. 2697-2714
Author(s):  
Arnošt Kimla ◽  
Jiří Míčka
Keyword(s):  
Asymptotic Expansion ◽  
Free Convection ◽  
Boundary Value Problem ◽  
Concentration Gradient ◽  
Empirical Formula ◽  
Convective Diffusion ◽  
Forced Flow ◽  
Diffusion Current ◽  
Wide Range ◽  
Free And Forced Convection

The formulation and solution of a boundary value problem is presented, describing the influence of the free convective diffusion on the forced one to a sphere for a wide range of Rayleigh, Ra, and Peclet, Pe, numbers. It is assumed that both the free and forced convection are oriented in the same sense. Numerical results obtained by the method of finite differences were approximated by an empirical formula based on an analytically derived asymptotic expansion for Pe → ∞. The concentration gradient at the surface and the total diffusion current calculated from the empirical formula agree with those obtained from the numerical solution within the limits of the estimated errors.

Study of potential oscillations during reaction of an aluminium single crystal with an aqueous KOH solution

1990 ◽  
Vol 55 (2) ◽  
pp. 345-353 ◽  
Author(s):  
Ivan Halaša ◽  
Milica Miadoková
Keyword(s):  
Aqueous Solutions ◽  
Single Crystal ◽  
Single Crystals ◽  
Periodic Potential ◽  
Optimum Conditions ◽  
Potential Oscillations ◽  
Dilute Aqueous Solutions ◽  
Experimental Findings ◽  
Kinetics Of

The authors investigated periodic potential changes measured on oriented sections of Al single crystals during spontaneous dissolution in dilute aqueous solutions of KOH, with the aim to find optimum conditions for the formation of potential oscillations. It was found that this phenomenon is related with the kinetics of the reaction investigated, whose rate also changed periodically. The mechanism of the oscillations is discussed in view of the experimental findings.

Non-Cottrell Behavior of the Dopamine Redox Reaction Observed on the Carbon Fibre Microelectrode by the Double-Step Voltcoulometry

2004 ◽  
Vol 69 (2) ◽  
pp. 419-425 ◽  
Author(s):  
Katarína Gmucová ◽  
Jozef Orlický ◽  
Juraj Pavlásek
Keyword(s):  
Carbon Fibre ◽  
Redox Reaction ◽  
Measured Data ◽  
The Other ◽  
Diffusion Current ◽  
Double Step ◽  
Dopamine Concentration ◽  
Living Body ◽  
Carbon Fibre Microelectrode ◽  
Experimental Errors

The redox reaction of the neurotransmitter dopamine at the carbon fibre microelectrode was studied by several electrochemical methods. It was found that under conditions usual in a living body, the diffusion current fullfils, within experimental errors, the behavior theoretically predicted by the Cottrell equation. Nevertheless, attention should be paid to the fact that unsupported or weakly supported conditions give rise to a non-Cottrell response of diffusion current. Moreover, similar changes were observed if the dopamine concentration was either lower such as several units of μmol l-1, or about 100 μmol l-1 or higher. The non-Cottrell behavior of diffusion current involves the nonlinearity of the dopamine calibration curve obtained by pulse techniques. The present work is aimed at pointing out that such behavior of the measured data could lead to misinterpretation of the obtained dopamine concentration. Similar features could be also achieved for the other catecholamines.

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