Non-Markovian effects in the first-passage dynamics of obstructed tracer particle diffusion in one-dimensional systems.
(2014) In Journal of Chemical Physics 141(9).- Abstract
- The standard setup for single-file diffusion is diffusing particles in one dimension which cannot overtake each other, where the dynamics of a tracer (tagged) particle is of main interest. In this article, we generalize this system and investigate first-passage properties of a tracer particle when flanked by identical crowder particles which may, besides diffuse, unbind (rebind) from (to) the one-dimensional lattice with rates koff (kon). The tracer particle is restricted to diffuse with rate kD on the lattice and the density of crowders is constant (on average). The unbinding rate koff is our key parameter and it allows us to systematically study the non-trivial transition between the completely Markovian case (koff ≫ kD) to the... (More)
- The standard setup for single-file diffusion is diffusing particles in one dimension which cannot overtake each other, where the dynamics of a tracer (tagged) particle is of main interest. In this article, we generalize this system and investigate first-passage properties of a tracer particle when flanked by identical crowder particles which may, besides diffuse, unbind (rebind) from (to) the one-dimensional lattice with rates koff (kon). The tracer particle is restricted to diffuse with rate kD on the lattice and the density of crowders is constant (on average). The unbinding rate koff is our key parameter and it allows us to systematically study the non-trivial transition between the completely Markovian case (koff ≫ kD) to the non-Markovian case (koff ≪ kD) governed by strong memory effects. This has relevance for several quasi one-dimensional systems. One example is gene regulation where regulatory proteins are searching for specific binding sites on a crowded DNA. We quantify the first-passage time distribution, f (t) (t is time), numerically using the Gillespie algorithm, and estimate f (t) analytically. In terms of koff (keeping kD fixed), we study the transition between the two known regimes: (i) when koff ≫ kD the particles may effectively pass each other and we recover the single particle result f (t) ∼ t(-3/2), with a reduced diffusion constant; (ii) when koff ≪ kD unbinding is rare and we obtain the single-file result f (t) ∼ t(-7/4). The intermediate region displays rich dynamics where both the characteristic f (t) - peak and the long-time power-law slope are sensitive to koff. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4692171
- author
- Forsling, Robin ; Sanders, Lloyd LU ; Ambjörnsson, Tobias LU and Lizana, Ludvig
- organization
- publishing date
- 2014
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Chemical Physics
- volume
- 141
- issue
- 9
- article number
- 094902
- publisher
- American Institute of Physics (AIP)
- external identifiers
-
- pmid:25194389
- wos:000342207400036
- scopus:84907054893
- pmid:25194389
- ISSN
- 0021-9606
- DOI
- 10.1063/1.4894117
- language
- English
- LU publication?
- yes
- id
- 268d40a6-7918-4419-ab62-69bf1bd8472d (old id 4692171)
- date added to LUP
- 2016-04-01 10:02:43
- date last changed
- 2024-01-06 06:21:57
@article{268d40a6-7918-4419-ab62-69bf1bd8472d,
abstract = {{The standard setup for single-file diffusion is diffusing particles in one dimension which cannot overtake each other, where the dynamics of a tracer (tagged) particle is of main interest. In this article, we generalize this system and investigate first-passage properties of a tracer particle when flanked by identical crowder particles which may, besides diffuse, unbind (rebind) from (to) the one-dimensional lattice with rates koff (kon). The tracer particle is restricted to diffuse with rate kD on the lattice and the density of crowders is constant (on average). The unbinding rate koff is our key parameter and it allows us to systematically study the non-trivial transition between the completely Markovian case (koff ≫ kD) to the non-Markovian case (koff ≪ kD) governed by strong memory effects. This has relevance for several quasi one-dimensional systems. One example is gene regulation where regulatory proteins are searching for specific binding sites on a crowded DNA. We quantify the first-passage time distribution, f (t) (t is time), numerically using the Gillespie algorithm, and estimate f (t) analytically. In terms of koff (keeping kD fixed), we study the transition between the two known regimes: (i) when koff ≫ kD the particles may effectively pass each other and we recover the single particle result f (t) ∼ t(-3/2), with a reduced diffusion constant; (ii) when koff ≪ kD unbinding is rare and we obtain the single-file result f (t) ∼ t(-7/4). The intermediate region displays rich dynamics where both the characteristic f (t) - peak and the long-time power-law slope are sensitive to koff.}},
author = {{Forsling, Robin and Sanders, Lloyd and Ambjörnsson, Tobias and Lizana, Ludvig}},
issn = {{0021-9606}},
language = {{eng}},
number = {{9}},
publisher = {{American Institute of Physics (AIP)}},
series = {{Journal of Chemical Physics}},
title = {{Non-Markovian effects in the first-passage dynamics of obstructed tracer particle diffusion in one-dimensional systems.}},
url = {{http://dx.doi.org/10.1063/1.4894117}},
doi = {{10.1063/1.4894117}},
volume = {{141}},
year = {{2014}},
}