Geodesic
Travelling Waves of Fast Cryo-chemical Transformations in Solids (Non-Arrhenius Chemistry of the Cold Universe)
V. Barelko1 ; N. Bessonov2 ; G. Kichigina1 ; D. Kiryukhin1 ; A. Pumir3 ; V. Volpert4
1 Institute of Problems in Chemical Physics, 142432 Chernogolovka, Russia
2 Institute of Mechanical Engineering Problems, 199178 Saint Petersburg, Russia
3 Department of Mathematics, University of Nice, 06560, Valbonne, France
4 Institute of Mathematics, UMR 5208 CNRS, University Lyon 1, 69622 Villeurbanne, France
Mathematical modelling of natural phenomena, Tome 3 (2008) no. 5, pp. 50-72.

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Propagation of chemical waves at very low temperatures, observed experimentally [V.V. Barelko et al., Advances in Chem. Phys. 74 (1988), 339-384.] at velocities of order  10 cm/s, is due to a very non- standard physical mechanism. The energy liberated by the chemical reaction induces destruction of the material, thereby facilitating the reaction, a process very different from standard combustion. In this work we present recent experimental results and develop a new mathematical model which takes into account mechanical and chemical processes. We carry out numerical simulations and suggest a simplified model in order to obtain an explicit expression for the wave speed. This modelling allows us to give a possible explanation of the existence of two modes of propagation observed experimentally and of the dependence of the speed of propagation on the radiation dose.
DOI : 10.1051/mmnp:2008076

V. Barelko 1 ; N. Bessonov 2 ; G. Kichigina 1 ; D. Kiryukhin 1 ; A. Pumir 3 ; V. Volpert 4

1 Institute of Problems in Chemical Physics, 142432 Chernogolovka, Russia
2 Institute of Mechanical Engineering Problems, 199178 Saint Petersburg, Russia
3 Department of Mathematics, University of Nice, 06560, Valbonne, France
4 Institute of Mathematics, UMR 5208 CNRS, University Lyon 1, 69622 Villeurbanne, France 
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     author = {V. Barelko and N. Bessonov and G. Kichigina and D. Kiryukhin and A. Pumir and V. Volpert},
     title = {Travelling {Waves} of {Fast} {Cryo-chemical} {Transformations} in {Solids} {(Non-Arrhenius} {Chemistry} of the {Cold} {Universe)}},
     journal = {Mathematical modelling of natural phenomena},
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V. Barelko; N. Bessonov; G. Kichigina; D. Kiryukhin; A. Pumir; V. Volpert. Travelling Waves of Fast Cryo-chemical Transformations in Solids (Non-Arrhenius Chemistry of the Cold Universe). Mathematical modelling of natural phenomena, Tome 3 (2008) no. 5, pp. 50-72. doi : 10.1051/mmnp:2008076. http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2008076/

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