%0 Book Section %1 statphys23_0182 %A Lemos, H.C.F. %A Pereira, E. %A Neto, A. Francisco %A Barros, F. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K conductivity fourier hamiltonian law statphys23 systems thermal topic-3 %T Controlling the heat conductivity %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=182 %X We address the problem of controlling the energy flow in lattice systems: we investigate, in analytical approach, the properties of the heat conductivity of the classical harmonic crystal with self-consistent stochastic reservoirs, a single model with normal conductivity. For the case of weak interparticle interaction, in a perturbative analysis, we obtain an expression for the thermal conductivity and show how to decrease or increase the heat current inside the system by changing the masses of the particles and/or the on-site potentials. These results may be useful in the construction of devices controlling the heat conduction. Furthermore, we also investigate the quantum harmonic chain with thermal reservoirs at each site for the case of alternate masses: we derive the expression for thermal conductivity using an approach developed by Dhar and Roy and the temperature profile from the previous classical harmonic crystal. 0.3cm References: - F. Barros, H. C. F. Lemos and E. Pereira. Phys. Rev. E, 74, 052102 (2006). - A. Francisco Neto, H. C. F. Lemos and E. Pereira. J. Phys. A: Math. and General, 39, 9399-9410 (2006). - H. C. F. Lemos and E. Pereira. Physica A, 374, 109-118 (2007) - E. Pereira and R. Falcao. Phys. Rev. E, 70, 46105 (2004) - E. Pereira and R. Falcao. Phys. Rev. Lett., 96,100601 (2006) - A. Dhar and D. Roy. J. Stat. Phys., 125, 805-824 (2006)

@incollection{statphys23_0182, abstract = {We address the problem of controlling the energy flow in lattice systems: we investigate, in analytical approach, the properties of the heat conductivity of the classical harmonic crystal with self-consistent stochastic reservoirs, a single model with normal conductivity. For the case of weak interparticle interaction, in a perturbative analysis, we obtain an expression for the thermal conductivity and show how to decrease or increase the heat current inside the system by changing the masses of the particles and/or the on-site potentials. These results may be useful in the construction of devices controlling the heat conduction. Furthermore, we also investigate the quantum harmonic chain with thermal reservoirs at each site for the case of alternate masses: we derive the expression for thermal conductivity using an approach developed by Dhar and Roy and the temperature profile from the previous classical harmonic crystal. \vspace{0.3cm} References: - F. Barros, H. C. F. Lemos and E. Pereira. Phys. Rev. E, 74, 052102 (2006). - A. Francisco Neto, H. C. F. Lemos and E. Pereira. J. Phys. A: Math. and General, 39, 9399-9410 (2006). - H. C. F. Lemos and E. Pereira. Physica A, 374, 109-118 (2007) - E. Pereira and R. Falcao. Phys. Rev. E, 70, 46105 (2004) - E. Pereira and R. Falcao. Phys. Rev. Lett., 96,100601 (2006) - A. Dhar and D. Roy. J. Stat. Phys., 125, 805-824 (2006)}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Lemos, H.C.F. and Pereira, E. and Neto, A. Francisco and Barros, F.}, biburl = {https://www.bibsonomy.org/bibtex/2ef9db010a7112caf1dd89fabbd43a96e/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {ff48285d68a3bfdae1f1b182eb3fc3ab}, intrahash = {ef9db010a7112caf1dd89fabbd43a96e}, keywords = {conductivity fourier hamiltonian law statphys23 systems thermal topic-3}, month = {9-13 July}, timestamp = {2007-06-20T10:16:13.000+0200}, title = {Controlling the heat conductivity}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=182}, year = 2007 }