Graphs {reaction graph} can have nodes that are compounds, such as polymers, and connectors that are reactions.
nodes
Polymers have different lengths. Polymers are products of reactant polymers. Compounds can supply energy to make polymers. Required compounds are polymer units and do not have input reaction paths. Some compounds are never reactants and have no output reaction paths.
connectors
Connectors lead from reactant nodes to product nodes {reaction path}. Reactions can lengthen or shorten polymers. Lengthening polymers requires energy. Shortening polymers releases energy.
process
If existing polymers can make more-complex polymers, number of compound nodes increases and number of reactions increases more. If many different reactions make and break polymers, reaction-to-compound ratio increases exponentially.
catalyst
Reactions can have input catalysts that increase reaction rate but that reaction does not consume. Reaction-graph subsets {catalyzed reaction subgraph} can have only catalyzed reactions.
autocatalytic
Systems {autocatalytic system, reaction graph} can have reactions whose products are reactants and increase rates of reactions that depend on concentration. Autocatalytic systems consume original reactants quickly and end quickly. Catalyzed reaction subgraphs {autocatalyzed subset} are self-catalyzing if all compounds are either food or are catalysis products.
If existing polymers can make more-complex polymers, a small percentage of new polymers can be catalysts. When catalyzed-reaction number becomes more than polymer number, phase transition goes to autocatalytic system.
If autocatalytic systems have food and energy compounds, number of different polymers can increase. If system can double, probably requiring specialized catalysts and molecules, it has reproduced itself {self-reproducing}.
critical
Reaction graphs can have chain reactions {criticality, reaction}. Chain reactions can make same molecules {subcriticality}, so number increases exponentially. Chain reactions can make new molecule types {supracriticality}, so chain reactions make exponentially more types. If different-object-type number increases, supracritical behavior increases. If reaction-catalysis probability increases, supracritical behavior increases.
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Date Modified: 2022.0224