The potential energy, the thermodynamic properties and the growth conditions of random carbon schwarzites are theoretically investigated in connection with their topological properties and self-affine structure. An analysis based on numerical simulations of transmission electron microscopy images permits to assign certain carbon foams, recently produced by means of supersonic cluster beam deposition, to self-affine random schwarzites. It is shown that self-affinity makes their thermodynamic properties non-extensive. The fractal growth exponent is shown to be related to the parameter q -1 of the Tsallis non-extensive entropy.
Fractal growth of carbon schwarzites / G. Benedek, H.V. Tafreshi, A. Podestà, P. Milani - In: Complexity, metastability and nonextensivity : proceedings of the 31st workshop of the international school of solid state physics / [a cura di] C. Beck, G. Benedek, A. Rapisarda, C. Tsallis. - Singapore : World Scientific, 2005. - ISBN 978-981-256-525-9. - pp. 146-155 (( Intervento presentato al 31. convegno 31st Workshop of the International School of Solid State Physics tenutosi a Erice, Sicily nel 2004 [10.1142/9789812701558_0017].
Fractal growth of carbon schwarzites
A. PodestàPenultimo
;P. MilaniUltimo
2005
Abstract
The potential energy, the thermodynamic properties and the growth conditions of random carbon schwarzites are theoretically investigated in connection with their topological properties and self-affine structure. An analysis based on numerical simulations of transmission electron microscopy images permits to assign certain carbon foams, recently produced by means of supersonic cluster beam deposition, to self-affine random schwarzites. It is shown that self-affinity makes their thermodynamic properties non-extensive. The fractal growth exponent is shown to be related to the parameter q -1 of the Tsallis non-extensive entropy.
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