Energy Transport in Stochastically Perturbed Lattice Dynamics TeX Export

@article{citeulike:4004233, abstract = {Abstract\ \ We consider lattice dynamics with a small stochastic perturbation of order \$\${\varepsilon}\$\$ and prove that for a space–time scale of order \$\${\varepsilon^{-1}}\$\$ the local spectral density (Wigner function) evolves according to a linear transport equation describing inelastic collisions. For an energy and momentum conserving chain, the transport equation predicts a slow decay, as \$\${1/\sqrt t}\$\$ , for the energy current correlation in equilibrium. This is in agreement with previous studies using a different method.}, author = {Basile, Giada and Olla, Stefano and Spohn, Herbert}, citeulike-article-id = {4004233}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/s00205-008-0205-6}, citeulike-linkout-1 = {http://www.springerlink.com/content/u31587t5731l134k}, day = {1}, doi = {10.1007/s00205-008-0205-6}, journal = {Archive for Rational Mechanics and Analysis}, keywords = {stochastic-discrete-damage}, month = {January}, number = {1}, pages = {171--203}, posted-at = {2009-10-30 14:32:40}, priority = {2}, title = {Energy Transport in Stochastically Perturbed Lattice Dynamics}, url = {http://dx.doi.org/10.1007/s00205-008-0205-6}, volume = {195}, year = {2010} }

TY - JOUR ID - citeulike:4004233 L3 - citeulike-article-id:4004233 N2 - Abstract  We consider lattice dynamics with a small stochastic perturbation of order $${\varepsilon}$$ and prove that for a space–time scale of order $${\varepsilon^{-1}}$$ the local spectral density (Wigner function) evolves according to a linear transport equation describing inelastic collisions. For an energy and momentum conserving chain, the transport equation predicts a slow decay, as $${1/\sqrt t}$$ , for the energy current correlation in equilibrium. This is in agreement with previous studies using a different method. IS - 1 JF - Archive for Rational Mechanics and Analysis EP - 203 TI - Energy Transport in Stochastically Perturbed Lattice Dynamics VL - 195 SP - 171 KW - stochastic-discrete-damage AU - Basile, Giada AU - Olla, Stefano AU - Spohn, Herbert PY - 2010/01/01/ UR - http://dx.doi.org/10.1007/s00205-008-0205-6 ER -