منابع مشابه
Thermodynamics in the limit of irreversible reactions
For many real physico-chemical complex systems detailed mechanism includes both reversible and irreversible reactions. Such systems are typical in homogeneous combustion and heterogeneous catalytic oxidation. Most complex enzyme reactions include irreversible steps. The classical thermodynamics has no limit for irreversible reactions whereas the kinetic equations may have such a limit. We repre...
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We analyze model processes involving competition between several irreversible reactions at the sites of a 1D, infinite, uniform polymer chain. These reactionscan be cooperative, i.e., the corresponding rates depend on the state of the surrounding sites. An infinite hierarchy of rate equations is readily derived for the probabilities of various subconfigurations. By exploiting a shielding proper...
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We study three basic diffusion-controlled reaction processes—annihilation, coalescence, and aggregation. We examine the evolution starting with the most natural inhomogeneous initial configuration where a half-line is uniformly filled by particles, while the complementary half-line is empty. We show that the total number of particles that infiltrate the initially empty half-line is finite and h...
متن کاملAutocatalytic networks with intermediates. I: Irreversible reactions.
A class of autocatalytic reaction networks based on template-dependent replication and specific catalysis is considered. Trimolecular "elementary steps" of simple replicator dynamics are resolved into two consecutive irreversible reactions. The extreme cases, competition for common resources and hypercycle-like cooperative feedback, were analyzed in some detail. Although the dynamics of the ext...
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The reaction A + B −→ B is studied when the reactants diffuse in phase space, i.e. their dynamics is described by the Langevin equation. The steadystate rate constants are calculated for both the target (static A and mobile B’s) and trapping (mobile A and static B’s) problems when the reaction is assumed to occur at the first contact. For Brownian dynamics (i.e., ordinary diffusion), the rate c...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1976
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.55.1827