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

  title={Thermodynamics of a higher-order phase transition: Scaling exponents and scaling laws},
  author={P. Kumar and A. Saxena},
  journal={Philosophical Magazine B},
  pages={1201 - 1209}
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
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
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


Possible Third Order Phase Transition in the Large N Lattice Gauge Theory
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.
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
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
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
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?
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