Thermodynamics of a higher-order phase transition: Scaling exponents and scaling laws

@article{Kumar2002ThermodynamicsOA,
title={Thermodynamics of a higher-order phase transition: Scaling exponents and scaling laws},
author={P. Kumar and A. Saxena},
journal={Philosophical Magazine B},
year={2002},
volume={82},
pages={1201 - 1209}
}
• Published 30 April 2002
• Physics
• Philosophical Magazine B
Abstract The well-known scaling laws relating critical exponents in a second-order phase transition have been generalized to the case of an arbitrarily higher-order phase transition. In a higher-order transition, such as suggested for the superconducting transition in Ba0.6K0.4BiO3 and in Bi2Sr2CaCu2O8, there are singularities in higher-order derivatives of the free energy. A relation between exponents of different observables has been found, regardless of whether the exponents are classical…
Properties of phase transitions of higher order
• Physics
• 2005
There is only limited experimental evidence for the existence in nature of phase transitions of Ehrenfest order greater than two. However, there is no physical reason for their non-existence, and
Complex phase diagrams
This paper is an assembly of a number of results that originate in thermodynamics except that thermodynamics here includes Landau's generalization of the thermodynamic potentials as a functional. The
Critical exponents for higher order phase transitions: Landau theory and RG flow
• Physics
Journal of Statistical Mechanics: Theory and Experiment
• 2021
In this work, we define and calculate critical exponents associated with higher order thermodynamic phase transitions. Such phase transitions can be classified into two classes: with or without a

References

SHOWING 1-10 OF 43 REFERENCES
Possible Third Order Phase Transition in the Large N Lattice Gauge Theory
• Physics
• 1980
The large-$N$ limit of the two-dimensional $\mathrm{U}(N)$ (Wilson) lattice gauge theory is explicitly evaluated for all fixed $\ensuremath{\lambda}={g}^{2}N$ by steepest-descent methods. The
Large-N phase transition in lattice two-dimensional principal chiral models.
• Physics
Physical review. D, Particles and fields
• 1995
Numerical results confirm strong-coupling analyses, i.e., the existence of a large-{ital N} second-order phase transition at a finite {beta}{sub {ital c}} phase transition.
Vortex entanglement in high-Tc superconductors.
• Nelson
• Physics
Physical review letters
• 1988
New kinds of intermediate flux states should be accessible in high-T/sub c/ superconductors, in fields slightly above H/sub c//sub 1/. Flux-line wandering leads to an entangled vortex state whose
Magnetization measurements on single crystals of superconducting Ba0.6K0.4BiO3
• Physics
• 1999
Abstract Extensive measurements of the magnetization of superconducting single-crystal samples of Ba0.6K0.4BiO3 have been made using superconducting quantum interference device and cantilever force
Superconducting-Normal Phase Transition in(Ba1−xKx)BiO3,x=0.40,0.47
• Physics
• 1999
Specific-heat measurements on (Ba{sub 1-x}K{sub x} )BiO{sub 3} , x=0.40 and 0.47, 0.7{<=}T{<=}35 K , 0{<=}H{<=}9 T , have determined the coefficient ({gamma}) of the normal-state conduction electron
Degree of the Critical Isotherm
An argument is presented which indicates that if g is the degree of the critical isotherm, d the degree of the coexistence curve, and f the power of ∥ Tc—T ∥—1 with which the isothermal
Thermodynamics of the Superconducting Phase Transition in Ba 0.6 K 0.4 BiO 3
• Materials Science, Physics
• 1999
We suggest that the transition to superconductivity in a single crystal of ${\mathrm{Ba}}_{0.6}{\mathrm{K}}_{0.4}{\mathrm{BiO}}_{3}$ with
Why is there no bulk specific heat anomaly at the superconducting transition temperature of BaPb1-x Bix O3?
• Physics
• 1980
Abstract Caloric measurements have shown that there is no bulk specific heat anomaly at the superconducting transition temperature of BaPb0.75Bi0.25O3.
Phys. Rev. Lett
• Phys. Rev. Lett
• 1999