Transitions Induced by the Discreteness of Molecules in a Small Autocatalytic System

2000/08/31 by Yuichi Togashi, Kunihiko Kaneko · 7 citations
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Protein Structure and Dynamics #Spectroscopy and Quantum Chemical Studies #cond-mat.stat-mech #nlin.AO #physics.bio-ph #q-bio.SC #stochastic dynamics and bifurcation

paper · pdf · doi:10.1103/physrevlett.86.2459

published as Phys. Rev. Lett. 86, 2459 (2001) · 5 pages, 4 figures

openalex publication_date 2001/03/12 · arxiv created 2002/12/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The autocatalytic reaction system with a small number of molecules is studied numerically by stochastic particle simulations. A novel state due to fluctuation and discreteness in molecular numbers is found, characterized as an extinction of molecule species alternately in the autocatalytic reaction loop. Phase transition to this state with changes of the system size and flow is studied, while a single-molecule switch of the molecule distributions is reported. The relevance of the results to intracellular processes is briefly discussed.

Citations

• Stochastic Processes in Physics and Chemistry

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