Fluctuating temperature outside superstatistics: Thermodynamics of small systems

Superstatistics, thermodynamics, and temperature variations

A thermodynamic-like formalism is developed for superstatistical systems based on conditional entropies. This theory takes into account large-scale temperature variations for systems in nonequilibrium stationary states. Ordinary thermodynamics is recovered as a special case of the present theory, and corrections to it can be systematically evaluated. A generalization of Einstein’s relation for ...

Superstatistics, thermodynamics, and fluctuations.

A thermodynamiclike formalism is developed for superstatistical systems based on conditional entropies. This theory takes into account large-scale variations of intensive variables of systems in nonequilibrium stationary states. Ordinary thermodynamics is recovered as a special case of the present theory, and corrections to it can systematically be evaluated. A generalization of Einstein's rela...

On Thermodynamics of Small Systems

Thermodynamics and Small Quantum Systems

Small quantum systems non-weakly coupled to a bath become in the quantum regime surrounded by a cloud of photons or phonons, which modifies their thermodynamic behavior. Exactly solvable examples are the Brownian motion of a quantum particle in a harmonic confining potential and coupled to a harmonic quantum thermal bath, e.g. an ion in a Penning trap, and a spin immersed in a bosonic bath, as ...

The Thermodynamics of Small Driven Systems

In the present thesis, a thermodynamic theory is developed for driven soft matter systems like polymer solutions and colloidal suspensions. Within this theory, notions like the work applied to the system externally and the heat dissipated into a heat reservoir will be defined consistently. Going beyond mean values, all quantities are defined along a single trajectory. This thermodynamic approac...