The Ehrenfest Classification of Phase Transitions: Introduction and Evolution

@article{Jaeger1998TheEC,
  title={The Ehrenfest Classification of Phase Transitions: Introduction and Evolution},
  author={Gregg Jaeger},
  journal={Archive for History of Exact Sciences},
  year={1998},
  volume={53},
  pages={51-81}
}
  • G. Jaeger
  • Published 1 May 1998
  • Physics
  • Archive for History of Exact Sciences
Abstract The first classification of general types of transition between phases of matter, introduced by Paul Ehrenfest in 1933, lies at a crossroads in the thermodynamical study of critical phenomena. It arose following the discovery in 1932 of a suprising new phase transition in liquid helium, the “lambda transition,” when W. H. Keesom and coworkers in Leiden, Holland observed a λhaped “jump” discontinuity in the curve giving the temperature dependence of the specific heat of helium at a… 
Equilibrium Background of Processes Initiated by Heating and Ehrenfest’s Classification of Phase Transitions
For a long time, transmutations, metamorphoses, and changes of substances (of fluid and solid bodies) have been the original subject of any investigation of alchemists as well as of more recent
The Lifshitz nature of the transition between the gap and gapless states of a superconductor
It is demonstrated that the known for a long time transition between the gap and the gapless states in the Abrikosov-Gor’kov theory of a superconductor with paramagnetic impurities is of the Lifshitz
Topological phase transition between the gap and the gapless superconductors
It is demonstrated that the known for a long time transition between the gap and the gapless states in the Abrikosov-Gor’kov theory of a superconductor with paramagnetic impurities is of the Lifshitz
Generalized Ehrenfest's approach to phase transitions in multicomponent systems in the presence of an electromagnetic field
Abstract.The path of a transformation is defined and discussed in the framework of classical thermodynamics. The Ehrenfest's approach to the theory of higher order transition is generalized to
Topological nature and the order of the transition between the gap and the gapless superconducting states in the Abrikosov-Gor’kov theory
It is demonstrated that the quantum phase transition between the gap and gapless superconducting states in the Abrikosov-Gor’kov theory of superconducting alloy with paramagnetic impurities is of the
Mixed-order phase transition in a colloidal crystal
TLDR
This work analytically predict and experimentally realize a mixed-order equilibrium phase transition in a 2D crystal of paramagnetic colloidal particles induced by a magnetic field H, enabling the experimental investigation of the surprising properties of such phase transitions.
A quantitative criterion for determining the order of magnetic phase transitions using the magnetocaloric effect
TLDR
A model-independent parameter allows evaluating the order of phase transition without any subjective interpretations, as it is shown for different types of materials and for the Bean–Rodbell model.
On Structural Rearrangements Near the Glass Transition Temperature in Amorphous Silica
The formation of clusters was analyzed in a topologically disordered network of bonds of amorphous silica (SiO2) based on the Angell model of broken bonds termed configurons. It was shown that a
Searching for a Critical Phenomenon
Critical phenomena are a part of physical science that deal with phase transitions accompanied by singularities like “critical opalescence” and “λ-anomalies”. The theory of critical phenomena assumes
History of the Lenz–Ising Model 1950–1965: from irrelevance to relevance
This is the second in a series of three papers that charts the history of the Lenz–Ising model (commonly called just the Ising model in the physics literature) in considerable detail, from its
...
...

References

SHOWING 1-10 OF 59 REFERENCES
The λ-Phenomenon of Liquid Helium and the Bose-Einstein Degeneracy
IN a recent paper1 Fröhlich has tried to interpret the λ-phenomenon of liquid helium as an order–disorder transition between n holes and n helium atoms in a body-centred cubic lattice of 2n places.
Introduction to Phase Transitions and Critical Phenomena
This is a paperback edition of a distinguished book, originally published by Clarendon Press in 1971. It was then the first text on critical phenomena, a field that has enjoyed great activity for the
A General Theory of the Second Order Phase Transition. I
The critical phenomenon of the second order phase transition is considered for temperatures above the critical point. A general phenomenological approach is developed. The generalized free energy
The theory of equilibrium critical phenomena
The theory of critical phenomena in systems at equilibrium is reviewed at an introductory level with special emphasis on the values of the critical point exponents α, β, γ,..., and their
Theory of superconductivity
A theory of superconductivity is presented, based on the fact that the interaction between electrons resulting from virtual exchange of phonons is attractive when the energy difference between the
Critical exponents at the turn of the century
The Physics of Cold. (Book Reviews: History and Origins of Cryogenics.; Superconductivity. Its Historical Roots and Development from Mercury to the Ceramic Oxides.)
"Blurb & Contents" "Copies of Onnes's or Meissner's lab notebooks--this is the stuff of science. This book is truly a tour de force. I cannot think of a single person working in the area of
Understanding macroscopic quantum phenomena: The history of superfluidity 1941–1955
Summary In this paper we attempt to investigate the historical and methodological aspects of the developments related to superfluid helium, concentrating on the period between 1941 and 1955. During
...
...