Seminarium KMMF "Teoria Dwoistości"

In the algebraic quantum theory we know a few properties characterising equilibrium states. These are KMS-condition, stability and passivity. Passivity is the property suggested by second law of thermodynamics. By definition a quantum system is in a passive state if it is unable to perform a work in any cyclic adiabatic process. I shall give mathematical formulation of this property and discuss its implications. In particular the relation between passivity and KMS-condition will be discussed. As an application the famous Carnot formula for the efficiency of heat engines will be derived. (Based on joint paper with W. Pusz)

In the algebraic quantum theory we know a few properties characterising equilibrium states. These are KMS-condition, stability and passivity. Passivity is the property suggested by second law of thermodynamics. By definition a quantum system is in a passive state if it is unable to perform a work in any cyclic adiabatic process. I shall give mathematical formulation of this property and discuss its implications. In particular the relation between passivity and KMS-condition will be discussed. As an application the famous Carnot formula for the efficiency of heat engines will be derived.(Based on joint paper with W. Pusz)