Theoretische Physik IV: Statistische Mechanik, Exercise 6

... (b) Using the result from (a) show that absolute zero cannot be reached by an adiabatic expansion. In the following we gain intuition whether absolute zero can be reached at all. We consider the fact that cooling processes always take place between two curves with X = const., e.g. X1 = P1 , X2 = P2 ...

... (b) Using the result from (a) show that absolute zero cannot be reached by an adiabatic expansion. In the following we gain intuition whether absolute zero can be reached at all. We consider the fact that cooling processes always take place between two curves with X = const., e.g. X1 = P1 , X2 = P2 ...

Black Hole Entropy in String Theory.

... entropy formula is modified. If there is a Killing horizon, then one can associate an entropy, Wald ...

... entropy formula is modified. If there is a Killing horizon, then one can associate an entropy, Wald ...

Does the Third Law of Thermodynamics Hold

... where H is the Hamiltonian for the whole system (quantum particle plus heat bath plus interaction). The question is how to calculate the entropy S from this expression. In Ref. 4, three different results for the entropy are obtained based on use of the free energy (S p given in (3.59) of Ref. 4), th ...

... where H is the Hamiltonian for the whole system (quantum particle plus heat bath plus interaction). The question is how to calculate the entropy S from this expression. In Ref. 4, three different results for the entropy are obtained based on use of the free energy (S p given in (3.59) of Ref. 4), th ...

Entanglement Entropies in the Ground States of Helium

... We also computed the entanglement entropies for the ground states of the two-electron atoms with different values of Z . Our results for the linear entropy and the vN entropy are listed in the table 6, where a comparison with the literature [16,17] is also made. It is worth stressing that in each ca ...

... We also computed the entanglement entropies for the ground states of the two-electron atoms with different values of Z . Our results for the linear entropy and the vN entropy are listed in the table 6, where a comparison with the literature [16,17] is also made. It is worth stressing that in each ca ...

An equal area law for holographic entanglement entropy of the AdS

... Motivated by the themes above, in this paper we track entanglement entropy across a family of van der Waals-like phase transitions of charged black holes in AdS. The first phase transition under study is the one of AdS-RN in the canonical ensemble in 4 and 5 dimensions. This transition was first di ...

... Motivated by the themes above, in this paper we track entanglement entropy across a family of van der Waals-like phase transitions of charged black holes in AdS. The first phase transition under study is the one of AdS-RN in the canonical ensemble in 4 and 5 dimensions. This transition was first di ...

Modeling and Analysis of Entropy Generation in Light

... Each of the three components (lattice, electrons and holes) is locally in thermodynamic equilibrium; (c) They are able to interchange energy with each other by various scattering mechanisms; (d) The three components are in thermal equilibrium; (e) The admissible states of electrons and holes are det ...

... Each of the three components (lattice, electrons and holes) is locally in thermodynamic equilibrium; (c) They are able to interchange energy with each other by various scattering mechanisms; (d) The three components are in thermal equilibrium; (e) The admissible states of electrons and holes are det ...

Maximum Entropy Closure of Balance Equations for Miniband

... solution of the kinetic equations, or by comparison with the results of a systematic perturbation procedure that has been positively contrasted with the numerical solution of the kinetic equations. For linear kinetic equations, the related minimum entropy production principle [10–12], has been used ...

... solution of the kinetic equations, or by comparison with the results of a systematic perturbation procedure that has been positively contrasted with the numerical solution of the kinetic equations. For linear kinetic equations, the related minimum entropy production principle [10–12], has been used ...