The properties of thermodynamical operations

The resource theory approach is a recently developed framework used in the study of thermodynamics for finite sized quantum systems. A simple way to describe how a quantum system evolves under energy-preserving unitaries while interacting with thermal reservoirs, has been formulated in the framework of thermal operations. Despite the conceptual...

Dissipation in the Abelian Sandpile Model

The Abelian Sandpile model was originally introduced by Bak, Tang and Wiesenfeld in 1987 as a paradigm for self-organized criticality. In this thesis, we study a variant of this model, both from the point of view of mathematics, as well as from the point of view of physics. The effect of dissipation and creation of mass is investigated. By...