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Rate theory of the radiation-induced precipitation in solids is modified withaccount of non-equilibrium fluctuations driven by the gas of lattice solitons(a.k.a. quodons) produced by irradiation. According to quantitativeestimations, a steady-state density of the quodon gas under sufficientlyintense irradiation can be as high as the density of phonon gas. The quodon gasmay be a powerful driver of the chemical reaction rates under irradiation, thestrength of which exponentially increases with irradiation flux and may becomparable with strength of the phonon gas that exponentially increases withtemperature. The modified rate theory is applied to modelling of copperprecipitation in FeCu binary alloys under electron irradiation. In contrast tothe classical rate theory, which disagrees strongly with experimental data onall precipitation parameters, the modified rate theory describes quite wellboth the evolution of precipitates and the matrix concentration of coppermeasured by different methods

Theory of a quodon gas. With application to precipitation kinetics in solids under irradiation