The phenomenon of partial equivalence of statistical ensembles is illustrated by discussing two examples, the mean-field XY and the mean-field spherical model. The configurational parts of these systems exhibit partial equivalence of the microcanonical and the canonical ensemble. Furthermore,...

The relation between thermodynamic phase transitions in classical systems and topology changes in their state space is discussed for systems in which equivalence of statistical ensembles does not hold. As an example, the spherical model with mean field-type interactions is considered. Exact...

Globally, trade flows of agricultural products are increasing. While value is typically added along the whole production chain, certain environmental impacts, such as land and water use, biomass appropriation, and soil degradation, are intrinsically linked to where the primary products originate...