No dinosaurs in microcanonical gravitation: No special "microcanonical phase transitions"
D. H. E. Gross
Abstract
It is shown that the recently introduced singularities of the microcanonical entropy like "microcanonical phase transitions", and exotic pattern of the microcanonical caloric curve T(E) like multi-valuednes or the appearance of "dinosaur's necks" are inconsistent with Boltzmann's fundamental definition of entropy S=ln[W(E)] for a system at equilibrium even for extremely large systems as astro-physical ones.
Create a lesson
Related papers
Competitive scaling of small-subsystem-optimization heuristics for LABS
Ginger E. Lau, Adil A. Gangat
IceCube data for astrophysical neutrinos exhibit q-statistical behavior
Constantino Tsallis, Ugur Tirnakli
Robust Golden Ratio universality as a consequence of a circulant symmetry
Luka Paljk, Johannes Schmidt, Vladislav Popkov
Replica Transition at Measurement-Altered Ising Criticality
Kabir Khanna, Sara Murciano, Romain Vasseur
Scalene Yang-Baxter triples realize all nearest-neighbour Hamiltonians with global additive symmetries
Pramod Padmanabhan, Somnath Maity, Akash Sinha et al.
Graph-theoretic framework for semi-Markov networks: transient and stationary occupation probabilities, hitting times and weak ergodicity breaking
Julian Voits