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 foam, 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
Benedek, G., Vahedi-Tafreshi, H., Milani, P., Podestà, A. (2005). Fractal growth of carbon schwarzites. In C. Beck, G. Benedek, A. Rapisarda, C. Tsallis (a cura di), Complexity, Metastability and Nonextensivity (pp. 146-155). Singapore : World Scientific [10.1142/9789812701558_0017].
Fractal growth of carbon schwarzites
Benedek, G;
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 foam, 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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