Non-linear Differential Equations for Correlation Functions of Fermi Gas in One Dimension

@misc{citeulike:2675920, abstract = {We present new non-linear differential equations for space-time correlation functions of Fermi gas in one spatial dimension. The correlation functions we consider describe non-stationary processes out of equilibrium. The equations we obtain are integrable equations. They generalize known non-linear differential equations for correlation functions at equilibrium and provide vital tools to study non-equilibrium dynamics of electronic systems. The method we developed is based only on Wick's theorem and the hydrodynamic description of the Fermi gas. Differential equations appear directly in bilinear form.}, author = {Bettelheim, E. and Abanov, A. G. and Wiegmann, P. }, citeulike-article-id = {2675920}, eprint = {0804.2272}, keywords = {1d, fermi, statistical-mechanics}, month = {Apr}, posted-at = {2008-04-21 16:48:33}, priority = {2}, title = {Non-linear Differential Equations for Correlation Functions of Fermi Gas in One Dimension}, url = {http://arxiv.org/abs/0804.2272}, year = {2008} }

TY - ELEC ID - citeulike:2675920 L3 - citeulike-article-id:2675920 TI - Non-linear Differential Equations for Correlation Functions of Fermi Gas in One Dimension N2 - We present new non-linear differential equations for space-time correlation functions of Fermi gas in one spatial dimension. The correlation functions we consider describe non-stationary processes out of equilibrium. The equations we obtain are integrable equations. They generalize known non-linear differential equations for correlation functions at equilibrium and provide vital tools to study non-equilibrium dynamics of electronic systems. The method we developed is based only on Wick's theorem and the hydrodynamic description of the Fermi gas. Differential equations appear directly in bilinear form. KW - 1d KW - fermi KW - statistical-mechanics AU - Bettelheim, E AU - Abanov, AG AU - Wiegmann, P PY - 2008/Apr/14/ UR - http://arxiv.org/abs/0804.2272 ER -