First passage under restart for discrete space and time: Application to one-dimensional confined lattice random walks

International audience We analyze the one-dimensional version of Jim Propp's $P$-machine, a simple deterministic process that simulates a random walk on $\mathbb{Z}$. The "output'' of the machine is astonishingly close to the expected behavior of a random walk, even on long intervals of space and time.

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First passage time problems for one-dimensional random walks

Journal of Statistical Physics ◽

10.1007/bf01011376 ◽

1981 ◽

Vol 24 (4) ◽

pp. 587-594 ◽

Cited By ~ 37

Author(s):

George H. Weiss

Keyword(s):

Random Walks ◽

First Passage Time ◽

Passage Time ◽

First Passage ◽

One Dimensional ◽

First Passage Time Problems

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Lattice random walks for sets of random walkers. First passage times

Journal of Statistical Physics ◽

10.1007/bf01014427 ◽

1980 ◽

Vol 23 (1) ◽

pp. 11-25 ◽

Cited By ~ 37

Author(s):

Katja Lindenberg ◽

V. Seshadri ◽

K. E. Shuler ◽

George H. Weiss

Keyword(s):

Random Walks ◽

First Passage Times ◽

First Passage ◽

Random Walkers ◽

Lattice Random Walks ◽

Passage Times

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First passage time distributions for finite one-dimensional random walks

Pramana ◽

10.1007/bf02894735 ◽

1983 ◽

Vol 21 (2) ◽

pp. 111-122 ◽

Cited By ~ 21

Author(s):

M Khantha ◽

V Balakrishnan

Keyword(s):

Random Walks ◽

First Passage Time ◽

Passage Time ◽

First Passage ◽

One Dimensional

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An effective one-dimensional approach to calculating mean first passage time in multi-dimensional potentials

The Journal of Chemical Physics ◽

10.1063/5.0040071 ◽

2021 ◽

Vol 154 (8) ◽

pp. 084103

Author(s):

Thomas H. Gray ◽

Ee Hou Yong

Keyword(s):

First Passage Time ◽

Passage Time ◽

Mean First Passage Time ◽

Dimensional Approach ◽

First Passage ◽

One Dimensional

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A time-dependent model for high-pressure discharges in narrow ablative capillaries

Journal of Plasma Physics ◽

10.1017/s0022377800026908 ◽

1993 ◽

Vol 50 (1) ◽

pp. 51-70 ◽

Cited By ~ 19

Author(s):

D. Zoler ◽

S. Cuperman ◽

J. Ashkenazy ◽

M. Caner ◽

Z. Kaplan

Keyword(s):

High Pressure ◽

Equation Of State ◽

Time Dependent ◽

Dimensional Model ◽

Plasma Sources ◽

One Dimensional ◽

Space And Time ◽

Dependent Model ◽

Energy Equations ◽

Time Dependent Model

A time-dependent quasi-one-dimensional model is developed for studying high- pressure discharges in ablative capillaries used, for example, as plasma sources in electrothermal launchers. The main features of the model are (i) consideration of ablation effects in each of the continuity, momentum and energy equations; (ii) use of a non-ideal equation of state; and (iii) consideration of space- and time-dependent ionization.

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