A stochastic theoretical approach to study the size-dependent catalytic activity of a metal nanoparticle at the single molecule level

We present a theoretical method based on the first passage time distribution formalism to study the size-dependent catalytic activity of metal nanoparticle at the single molecule level.

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Modeling the heterogeneous catalytic activity of a single nanoparticle using a first passage time distribution formalism

Chemical Physics Letters ◽

10.1016/j.cplett.2015.10.063 ◽

2015 ◽

Vol 641 ◽

pp. 193-198 ◽

Cited By ~ 4

Author(s):

Anusheela Das ◽

Srabanti Chaudhury

Keyword(s):

Catalytic Activity ◽

Time Distribution ◽

First Passage Time ◽

Passage Time ◽

First Passage ◽

Heterogeneous Catalytic ◽

Single Nanoparticle

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Iterative algorithm for the first passage time distribution in a jump–diffusion model with regime-switching, and its applications

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.08.015 ◽

2016 ◽

Vol 294 ◽

pp. 177-195 ◽

Cited By ~ 3

Author(s):

Jerim Kim ◽

Bara Kim ◽

In-Suk Wee

Keyword(s):

Iterative Algorithm ◽

Diffusion Model ◽

Regime Switching ◽

Time Distribution ◽

First Passage Time ◽

Jump Diffusion ◽

Passage Time ◽

First Passage ◽

Jump Diffusion Model

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Identifying Coefficients in the Spectral Representation for First Passage Time Distributions

Probability in the Engineering and Informational Sciences ◽

10.1017/s0269964800000309 ◽

1987 ◽

Vol 1 (1) ◽

pp. 69-74 ◽

Cited By ~ 26

Author(s):

Mark Brown ◽

Yi-Shi Shao

Keyword(s):

Markov Processes ◽

Time Distribution ◽

Infinitesimal Generator ◽

Spectral Representation ◽

First Passage Time ◽

Passage Time ◽

Spectral Approach ◽

Generator Matrix ◽

Eigenvalues And Eigenvectors ◽

First Passage

The spectral approach to first passage time distributions for Markov processes requires knowledge of the eigenvalues and eigenvectors of the infinitesimal generator matrix. We demonstrate that in many cases knowledge of the eigenvalues alone is sufficient to compute the first passage time distribution.

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Statistical properties of fluctuating enzymes with dynamic cooperativity using a first passage time distribution formalism

The Journal of Chemical Physics ◽

10.1063/1.4979945 ◽

2017 ◽

Vol 146 (14) ◽

pp. 145103 ◽

Cited By ~ 7

Author(s):

Divya Singh ◽

Srabanti Chaudhury

Keyword(s):

Time Distribution ◽

First Passage Time ◽

Passage Time ◽

Statistical Properties ◽

First Passage

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On the first passage time distribution of an Ornstein–Uhlenbeck process

Quantitative Finance ◽

10.1080/14697680903373684 ◽

2010 ◽

Vol 10 (9) ◽

pp. 957-960 ◽

Cited By ~ 21

Author(s):

Chuang Yi

Keyword(s):

Time Distribution ◽

First Passage Time ◽

Passage Time ◽

First Passage ◽

Uhlenbeck Process ◽

Ornstein Uhlenbeck Process

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Non-integer moments of the first passage time distribution in non-Markov systems

Physics Letters A ◽

10.1016/0375-9601(91)90260-f ◽

1991 ◽

Vol 159 (3) ◽

pp. 133-138

Author(s):

Vincenzo Palleschi

Keyword(s):

Time Distribution ◽

First Passage Time ◽

Passage Time ◽

First Passage ◽

Markov Systems

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On the First Passage Time Distribution for a Class of Markov Chains

The Annals of Probability ◽

10.1214/aop/1176993448 ◽

1983 ◽

Vol 11 (4) ◽

pp. 1000-1008 ◽

Cited By ~ 48

Author(s):

Mark Brown ◽

Narasinga R. Chaganty

Keyword(s):

Markov Chains ◽

Time Distribution ◽

First Passage Time ◽

Passage Time ◽

First Passage

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Evaluation of the first-passage time probability to a square root boundary for the Wiener process

Journal of Applied Probability ◽

10.2307/3213358 ◽

1977 ◽

Vol 14 (4) ◽

pp. 850-856 ◽

Cited By ~ 35

Author(s):

Shunsuke Sato

Keyword(s):

Wiener Process ◽

Time Distribution ◽

First Passage Time ◽

Passage Time ◽

Square Root ◽

First Passage ◽

Uhlenbeck Process ◽

Ornstein Uhlenbeck Process ◽

Asymptotic Evaluation

This paper gives an asymptotic evaluation of the probability that the Wiener path first crosses a square root boundary. The result is applied to estimate the moments of the first-passage time distribution of the Ornstein–Uhlenbeck process to a constant boundary.

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