Isfahan University of Technology, The Physics Society of Iran Iranian Journal of Physics Research 1682-6957 21 3 2021 11 22 A new symmetry for large deviation functions of time-integrated dynamical variables A new symmetry for large deviation functions of time-integrated dynamical variables 109 116 1719 10.47176/ijpr.21.3.41230 FA F Jafarpour Hamadani Physics Department, Bu-Ali Sina University, Hamedan, Iran 0000-0003-0477-9990 P Torkaman Physics Department, Bu-Ali Sina University, Hamedan, Iran Journal Article 2021 04 02 A new type of symmetry in the large deviation function of a time-integrated current is introduced. This current is different from the fluctuating entropy production for which the large deviation function is symmetric in the content of the fluctuation theorem. The origin of this symmetry, similar to that of the Gallavotti-Cohen-Evans-Morriss symmetry, is related to time-reversal. The symmetry is more unveiled when one performs an appropriate grouping of stochastic trajectories in the space of microscopic configurations. It turns out that the characteristic polynomial of the modified generator of this current is not symmetric; however, its minimum eigenvalue is symmetric.<br />  A new type of symmetry in the large deviation function of a time-integrated current is introduced. This current is different from the fluctuating entropy production for which the large deviation function is symmetric in the content of the fluctuation theorem. The origin of this symmetry, similar to that of the Gallavotti-Cohen-Evans-Morriss symmetry, is related to time-reversal. The symmetry is more unveiled when one performs an appropriate grouping of stochastic trajectories in the space of microscopic configurations. It turns out that the characteristic polynomial of the modified generator of this current is not symmetric; however, its minimum eigenvalue is symmetric.<br />  out of equilibrium systems fluctuation theorem large deviation in out of equilibrium systems symmetries of large deviation function https://ijpr.iut.ac.ir/article_1719_17a40723e02da7c53e67dd734454287a.pdf