We have previously shown in model studies that rapid quenches of systems monomers interacting to form polymer chains can fix nonequilibrium chemistries with some lifelike properties. suggested such quenching processes might occurred at very high rates on early Earth, giving an efficient mechanism for natural sorting through enormous numbers from which the most ones could be naturally selected. However, used these did not take account activation barriers scission (peptide bond hydrolysis case...

When four species compete stochastically in a cyclic way, the formation of two teams mutually neutral partners is observed. In this paper we study through numerical simulations extinction processes that can take place system both well mixed case as on different types lattices. The routes to are revealed by probability distribution domination time, i.e. time needed for one team fully occupy system. If swapping allowed between partners, then dominated very long-lived states where few large...

We consider cyclic Lotka-Volterra models with three and four strategies where at every interaction agents play a strategy using time-dependent probability distribution. Agents learn from loss by reducing the to losing next interaction. For that, an agent is described as urn containing β balls of types, respectively, after one corresponding replaced ball representing winning strategy. Using both mean-field rate equations numerical simulations, we investigate range quantities that allows us...

Effects of spatial diffusion in a Kauffman-like model for prebiotic evolution previously studied "well-mixed" limit are reported. The previous was parametrized by parameter p defined as the probability that possible reaction network reactions characterizing artificial chemistry actually appears chemical network. In reported here, we numerically study grid such well-mixed reactors on two-dimensional lattice which constituents can hop between neighboring at rate controlled second η. We report...

Previously we reported [A. Wynveen et al., Phys. Rev. E 89, 022725 (2014)PLEEE81539-375510.1103/PhysRevE.89.022725] that requiring the systems regarded as lifelike be out of chemical equilibrium in a model abstracted polymers undergoing ligation and scission first introduced by Kauffman [S. A. Kauffman, The Origins Order (Oxford University Press, New York, 1993), Chap. 7] implied were most probable when reaction network was sparse. entirely statistical took no account bond energies or other...

We apply previously introduced measures of chemical disequilibrium to Cassini mass spectroscopy data on the atmosphere Titan. In analysis presented here, we use an improved description, avoiding meanfield approximation in previous work. The results are nearly exactly same as those found earlier and confirm that, with respect used, Titan's lies between living many nonliving systems. Some details mathematical analysis, which appear be new, included.

For prebiotic chemistry to succeed in producing a starting metastable, autocatalytic and reproducing system subject evolutionary selection it must satisfy at least two apparently contradictory requirements: Because such systems are rare, search among vast numbers of molecular combinations take place naturally, requiring rapid rearrangement breaking covalent bonds. But once relevant is found, disruption would be very likely destroy the before much evolution could place. In this paper we...

We report results of evaluation several measures chemical disequilibrium in living and abiotic systems. The previously defined include R T L which are Euclidean distances a coarse grained polymer length distribution from two different equilibrium states associated with equilibration to an external temperature bath isolated determined by the bond energy system, respectively. determination uses simplified model energetics constituent molecules introduced earlier. evaluated for data ribosome E....

The periods of the orbits for well-mixed cyclic three-species Lotka-Volterra model far away from fixed point are studied. For finite system sizes, a discrete stochastic approach is employed and found via wavelet analysis. As size increased, hierarchy approximations ranging Poisson noise to Gaussian deterministic models utilized. Based on equations, mathematical relationship between conserved quantity period population oscillations found. Exploiting this property we then study in systems.