634 research outputs found
Statistical Mechanics of Phase-Space Curves
We study the classical statistical mechanics of a phase-space curve. This
unveils a mechanism that, via the associated entropic force, provides us with a
simple realization of effects such as confinement, hard core, and asymptotic
freedom. Additionally, we obtain negative specific heats, a distinctive feature
of self-gravitating systems and negative pressures, typical of dark energy.Comment: 24 pages, 15 figure
Physical peculiarities of divergences emerging in q-deformed statistics
It was found in [Europhysics Letters {\bf 104}, (2013), 60003] that classical
Tsallis theory exhibits poles in the partition function and the mean
energy . These occur at a countably set of the q-line. We give
here, via a simple procedure, a mathematical account of them. Further, by
focusing attention upon the pole-physics, we encounter interesting effects. In
particular, for the specific heat, we uncover hidden gravitational effects.Comment: 21 pages, 3 figures. Title has changed. Text has change
3D Effects Of The Entropic Force
This work analyzes the classical statistical mechanics associated to
phase-space curves in three dimensions. Special attention is paid to the
entropic force. Strange effects like confinement, hard core, and asymptotic
freedom are uncovered. Negative specific heats, that were previously seen to
emerge in a one-dimensional setting, disappear in 3D, and with them,
gravitational effects of the entropic force.Comment: arXiv admin note: substantial text overlap with arXiv:1306.203
Tsallis' deformation parameter q quantifies the classical-quantum transition
We investigate the classical limit of a type of semiclassical evolution, the
pertinent system representing the interaction between matter and a given field.
On using as a quantifier of the ensuing dynamics Tsallis q-entropy, we
encounter that it not only appropriately describes the quantum-classical
transition, but that the associated deformation-parameter q itself
characterizes the different regimes involved in the process, detecting the most
salient fine details of the changeover.Comment: 19 pages, 7 figure
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