Geodesic
Travelling Waves of Fast Cryo-chemical Transformations in Solids (Non-Arrhenius Chemistry of the Cold Universe)
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
Mathematical modelling of natural phenomena, Tome 3 (2008) no. 5, pp. 50-72 Cet article a éte moissonné depuis la source EDP Sciences

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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 
@article{10_1051_mmnp:2008076,
     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},
     pages = {50--72},
     year = {2008},
     volume = {3},
     number = {5},
     doi = {10.1051/mmnp:2008076},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2008076/}
}
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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

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