Effects of spatial diffusion on nonequilibrium steady states in a model for prebiotic evolution

B. F. Intoy, A. Wynveen, J. W. Halley

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Effects of spatial diffusion in a Kauffman-like model for prebiotic evolution previously studied in a "well-mixed" limit are reported. The previous model was parametrized by a parameter p defined as the probability that a possible reaction in a network of reactions characterizing the artificial chemistry actually appears in the chemical network. In the model reported here, we numerically study a grid of such well-mixed reactors on a two-dimensional spatial lattice in which the model chemical constituents can hop between neighboring reactors at a rate controlled by a second parameter η. We report the frequency of appearance of three distinct types of nonequilibrium steady states, characterized as "diffusively alive locally dead" (DALD), "diffusively dead locally alive" (DDLA) and "diffusively alive locally alive" (DALA). The types are defined according to whether they are chemically equilibrated at each site, diffusively equilibrated between sites, or neither, respectively. With our parametrization of the definitions of these nonequilibrium states, many of the DALA states are growing rapidly in population due to the explosive population growth of a few sites, while their entropy remains well below its equilibrium value. Sharp temporal transitions occur as exploding sites appear. DALD states occur less commonly than the other types and also usually harbor a few explosively growing sites but transitions are less sharp than in DALA systems.

Original languageEnglish (US)
Article number042424
JournalPhysical Review E
Volume94
Issue number4
DOIs
StatePublished - Oct 28 2016

Fingerprint

Nonequilibrium Steady State
Reactor
reactors
harbors
Population Growth
Parametrization
Model
Chemistry
Non-equilibrium
grids
Entropy
chemistry
entropy
Grid
Distinct

Cite this

Effects of spatial diffusion on nonequilibrium steady states in a model for prebiotic evolution. / Intoy, B. F.; Wynveen, A.; Halley, J. W.

In: Physical Review E, Vol. 94, No. 4, 042424, 28.10.2016.

Research output: Contribution to journalArticle

@article{e2d25f98c0fa490eab8e578406712f6a,
title = "Effects of spatial diffusion on nonequilibrium steady states in a model for prebiotic evolution",
abstract = "Effects of spatial diffusion in a Kauffman-like model for prebiotic evolution previously studied in a {"}well-mixed{"} limit are reported. The previous model was parametrized by a parameter p defined as the probability that a possible reaction in a network of reactions characterizing the artificial chemistry actually appears in the chemical network. In the model reported here, we numerically study a grid of such well-mixed reactors on a two-dimensional spatial lattice in which the model chemical constituents can hop between neighboring reactors at a rate controlled by a second parameter η. We report the frequency of appearance of three distinct types of nonequilibrium steady states, characterized as {"}diffusively alive locally dead{"} (DALD), {"}diffusively dead locally alive{"} (DDLA) and {"}diffusively alive locally alive{"} (DALA). The types are defined according to whether they are chemically equilibrated at each site, diffusively equilibrated between sites, or neither, respectively. With our parametrization of the definitions of these nonequilibrium states, many of the DALA states are growing rapidly in population due to the explosive population growth of a few sites, while their entropy remains well below its equilibrium value. Sharp temporal transitions occur as exploding sites appear. DALD states occur less commonly than the other types and also usually harbor a few explosively growing sites but transitions are less sharp than in DALA systems.",
author = "Intoy, {B. F.} and A. Wynveen and Halley, {J. W.}",
year = "2016",
month = "10",
day = "28",
doi = "10.1103/PhysRevE.94.042424",
language = "English (US)",
volume = "94",
journal = "Physical Review E - Statistical, Nonlinear, and Soft Matter Physics",
issn = "1539-3755",
publisher = "American Physical Society",
number = "4",

}

TY - JOUR

T1 - Effects of spatial diffusion on nonequilibrium steady states in a model for prebiotic evolution

AU - Intoy, B. F.

AU - Wynveen, A.

AU - Halley, J. W.

PY - 2016/10/28

Y1 - 2016/10/28

N2 - Effects of spatial diffusion in a Kauffman-like model for prebiotic evolution previously studied in a "well-mixed" limit are reported. The previous model was parametrized by a parameter p defined as the probability that a possible reaction in a network of reactions characterizing the artificial chemistry actually appears in the chemical network. In the model reported here, we numerically study a grid of such well-mixed reactors on a two-dimensional spatial lattice in which the model chemical constituents can hop between neighboring reactors at a rate controlled by a second parameter η. We report the frequency of appearance of three distinct types of nonequilibrium steady states, characterized as "diffusively alive locally dead" (DALD), "diffusively dead locally alive" (DDLA) and "diffusively alive locally alive" (DALA). The types are defined according to whether they are chemically equilibrated at each site, diffusively equilibrated between sites, or neither, respectively. With our parametrization of the definitions of these nonequilibrium states, many of the DALA states are growing rapidly in population due to the explosive population growth of a few sites, while their entropy remains well below its equilibrium value. Sharp temporal transitions occur as exploding sites appear. DALD states occur less commonly than the other types and also usually harbor a few explosively growing sites but transitions are less sharp than in DALA systems.

AB - Effects of spatial diffusion in a Kauffman-like model for prebiotic evolution previously studied in a "well-mixed" limit are reported. The previous model was parametrized by a parameter p defined as the probability that a possible reaction in a network of reactions characterizing the artificial chemistry actually appears in the chemical network. In the model reported here, we numerically study a grid of such well-mixed reactors on a two-dimensional spatial lattice in which the model chemical constituents can hop between neighboring reactors at a rate controlled by a second parameter η. We report the frequency of appearance of three distinct types of nonequilibrium steady states, characterized as "diffusively alive locally dead" (DALD), "diffusively dead locally alive" (DDLA) and "diffusively alive locally alive" (DALA). The types are defined according to whether they are chemically equilibrated at each site, diffusively equilibrated between sites, or neither, respectively. With our parametrization of the definitions of these nonequilibrium states, many of the DALA states are growing rapidly in population due to the explosive population growth of a few sites, while their entropy remains well below its equilibrium value. Sharp temporal transitions occur as exploding sites appear. DALD states occur less commonly than the other types and also usually harbor a few explosively growing sites but transitions are less sharp than in DALA systems.

UR - http://www.scopus.com/inward/record.url?scp=84994259565&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84994259565&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.94.042424

DO - 10.1103/PhysRevE.94.042424

M3 - Article

C2 - 27841561

AN - SCOPUS:84994259565

VL - 94

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

IS - 4

M1 - 042424

ER -