https://www.psi.ir/physics_society_iran_1_homeIranian Journal of Physics Research1682-695721320211122A new symmetry for large deviation functions of time-integrated dynamical variablesA new symmetry for large deviation functions of time-integrated dynamical variables109116171910.47176/ijpr.21.3.41230FAFJafarpour HamadaniPhysics Department, Bu-Ali Sina University, Hamedan, Iran0000-0003-0477-9990PTorkamanPhysics Department, Bu-Ali Sina University, Hamedan, IranJournal Article20210402A 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 /> http://ijpr.iut.ac.ir/article_1719_17a40723e02da7c53e67dd734454287a.pdf