Statistical physics relates the properties of macroscale systems to the distributions of their
microscale agents. Its central tool has been the maximization of entropy, an equilibrium …

The pillars of contemporary theoretical physics are classical mechanics, Maxwell
electromagnetism, relativity, quantum mechanics, and Boltzmann–Gibbs (BG) statistical …

The series aims to: present current and emerging innovations in GIScience; describe new
and robust GIScience methods for use in transdisciplinary problem solving and decision …

This paper describes the physical foundations of the newly discovered “entropy defect” as a
basic concept of thermodynamics. The entropy defect quantifies the change in entropy …

The generalized uncertainty principle (GUP) is a phenomenological model whose purpose
is to account for a minimal length scale (eg, Planck scale or characteristic inverse-mass …

In this paper, we develop the transport equation of kappa, the fundamental thermodynamic
parameter that labels kappa distributions of particle velocities. Using the recently developed …

In this paper we employ a recent proposal of C. Tsallis and formulate the first law of
thermodynamics for gravitating systems in terms of the extensive but non-additive entropy …

We study coherent states associated with a generalized uncertainty principle (GUP). We
separately analyze the cases of positive and negative deformation parameter β, showing …

Air pollution by nitrogen oxides (NO x) is a major concern in large cities as it has severe
adverse health effects. However, the statistical properties of air pollutants are not fully …

The aim of this focus article is to present a comprehensive classification of the main entropic
forms introduced in the last fifty years in the framework of statistical physics and information …