Kato, AkikoKaufmann, M.Muschik, WolfgangSchirrmeister, D.2018-10-022018-10-0220000340-0204https://depositonce.tu-berlin.de/handle/11303/8290http://dx.doi.org/10.14279/depositonce-7441Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich.This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.Different dynamics of the non-equilibrium canonical density operator, such as Canonical Dynamics, Linear Projection Dynamics, Generalized Robertson Dynamics, and Contact Time Dynamics, especially for time dependent work variables are derived. For two discrete systems in contact the rate of entropy is non-negative, if the contact time is short, and if one of the two discrete systems is in equilibrium and the compound system composed of both is isolated. The contact temperature is identified with one of the Lagrange parameters of the non-equilibrium canonical density operator of the compound system.en530 Physikcanonical density operatorLagrange parametercontact temperaturecompound systemArticle1437-4358