RT Journal Article
T1 Thermal conductivity of one-dimensional Fibonacci quasicrystals
A1 Maciá Barber, Enrique Alfonso
AB We consider a general Fibonacci quasicrystal (FQC) in which both the masses and the elastic constants are aperiodically arranged. Making use of a suitable decimation scheme, inspired by real-space renormalization-group concepts, we obtain closed analytical expressions for the global transfer matrix and transmission coefficient for several resonant critical normal modes. The fractal structure of the frequency spectrum significantly influences both the cumulative contribution of the different normal modes to the thermal transport and the dependence of the thermal conductivity with the temperature over a wide temperature range. The role of resonant effects in the heat transport through the FQC is numerically and analytically discussed.
PB American Physical Society
SN 1098-0121
YR 2000
FD 2000-03-01
LK https://hdl.handle.net/20.500.14352/60197
UL https://hdl.handle.net/20.500.14352/60197
LA eng
NO ©2000 The American Physical SocietyI gratefully thank Francisco Domínguez-Adame for his collaboration on these topics during these years. I also thank M. Victoria Hernández for her illuminating questions. I warmly thank Miguel Angel García for many interesting conversations on Fibonacci numbers. This work was supported by Universidad Complutense de Madrid through Project No. PR64/99-8510.
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 19 abr 2025