Journal ArticleDOI
Illustrations of the Dynamical Theory of Gases
TLDR
In view of the current interest in the theory of gases proposed by Bernoulli (Selection 3), Joule, Kronig, Clausius (Selections 8 and 9) and others, a mathematical investigation of the laws of motion of a large number of small, hard and perfectly elastic spheres acting on one another only during impact seems desirable.Abstract:
In view of the current interest in the theory of gases proposed by Bernoulli (Selection 3), Joule, Kronig, Clausius (Selections 8 and 9) and others, a mathematical investigation of the laws of motion of a large number of small, hard, and perfectly elastic spheres acting on one another only during impact seems desirable.read more
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Journal ArticleDOI
General properties of entropy
TL;DR: This paper discusses properties of entropy, as well as related concepts such as relative entropy, skew entropy, dynamical entropy, etc, in detail with reference to their implications in statistical mechanics, to get a glimpse of systems with infinitely many degrees of freedom.
Book
Chance and Stability: Stable Distributions and Their Applications
TL;DR: In this article, the authors introduce the theory of stable laws and apply it to some probabilistic models correlated systems and fractals anomalous diffusion and chaos physics radiophysics astrophysics and cosmology.
Journal ArticleDOI
Building the bridge between animal movement and population dynamics
Juan M. Morales,Paul R. Moorcroft,Jason Matthiopoulos,Jacqueline L. Frair,John G. Kie,Roger A. Powell,Evelyn H. Merrill,Daniel T. Haydon +7 more
TL;DR: The way animals move has important consequences for the degree of mixing that the authors expect to find both within a population and between individuals of different species, and as most animals revisit some places and avoid others based on their previous experiences, they foresee the incorporation of long-term memory and intention in movement models.
Book
Foundations of statistical mechanics
TL;DR: In this paper, the authors discuss how statistical concepts enter the treatment of deterministic mechanical systems, with particular reference to trajectory instabilities and to the KAM theorem, and deal with large systems: the thermodynamic limit and the theory of infinite systems.