# 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} }

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…

## 4 Citations

Properties of phase transitions of higher order

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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…

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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…

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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…

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