Statistical Mechanics of Phase-Space Curves

Abstract

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.

24 pages, 15 figures

References in corpus (5)

• Translocation of a Polymer through a Nanopore across a Viscosity Gradient
• Entanglement Entropy of Two Black Holes and Entanglement Entropic Force
• Polymer-mediated entropic forces between scale-free objects
• Entropic force in black hole binaries and its Newtonian limits
• Signature of special behaviours of $1/r^2$ interaction in the quantum entanglement entropy

Cited by in corpus (4)

• Dimensional Regularization of Renyi's Statistical Mechanics
• Verlinde's emergent gravity in an $\mathbf{n}-$dimensional, non-additive Tsallis' scenario
• q-Path entropy phenomenology for phase-space curves
• 3D Effects Of The Entropic Force