title: Temperature-driven coherence resonance and stochastic resonance in a thermochemical system.
abstract: We perform the stochastic analysis of a thermochemical system using a master equation which describes a chemical reaction and includes discrete and continuous temperature jumps. We study the time evolution of the system selecting the temperature of the thermostat as an easily tunable control parameter. Depending on the thermostat temperature, the system can be in an excitable, oscillatory, or stationary regime. Stochastic time series for the system temperature are generated and the distributions of interspike intervals are analyzed in the three dynamical regimes separated by a homoclinic bifurcation and a Hopf bifurcation. Different constructive roles of internal fluctuations are exhibited. A noise-induced transition is observed in the vicinity of the Hopf bifurcation. Coherence resonance and stochastic resonance are found in the oscillatory regime. In a range of thermostat temperatures, a nontrivial behavior of the highly nonlinear system is revealed by the existence of both a minimum and a maximum in the scaled standard deviation of interspike intervals as a function of particle number. This high sensitivity to system size illustrates that controlling dynamics in nanoreactors may remain a difficult task.
authors.affiliation: Sorbonne Universités, UPMC Univ Paris 06, Laboratoire de Physique Théorique de la Matière Condensée (LPTMC), 4 place Jussieu, case courrier 121, 75252 Paris Cedex 05, France and CNRS, LPTMC, UMR 7600, Paris, France.
authors.forename: A
authors.initials: A
authors.lastname: Lemarchand
authors.affiliation: Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, Poland and Faculty of Mathematics and Life Science, UKSW, Warsaw, Poland.
authors.forename: J
authors.initials: J
authors.lastname: Gorecki
authors.affiliation: Physics Laboratory, Warsaw University of Life Sciences, Nowoursynowska 159, 02-776, Warsaw, Poland.
authors.forename: A
authors.initials: A
authors.lastname: Gorecki
authors.affiliation: Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, Poland and Physics Laboratory, Warsaw University of Life Sciences, Nowoursynowska 159, 02-776, Warsaw, Poland.
authors.forename: B
authors.initials: B
authors.lastname: Nowakowski
mesh_terms: D001704:Biopolymers / Q000737:chemistry*; D003198:Computer Simulation; D004058:Diffusion; D006358:Hot Temperature; D008954:Models, Biological; D008956:Models, Chemical; D015233:Models, Statistical; D009991:Oscillometry / Q000379:methods*; D013269:Stochastic Processes; D013816:Thermodynamics
chemical_list: D001704:Biopolymers