6533b822fe1ef96bd127d871

RESEARCH PRODUCT

Multiscaling and the classification of continuous phase transitions

Rudolf HilferRudolf Hilfer

subject

Nonlinear Sciences::Chaotic DynamicsPhase transitionContinuous phase modulationCritical point (thermodynamics)Analytic continuationGeneral Physics and AstronomyClassification schemeStatistical physicsRenormalization groupCritical exponentScalingMathematics

description

Multiscaling of the free energy is obtained by generalizing the classification of phase transitions proposed by Ehrenfest. The free energy is found to obey a new generalized scaling form which contains as special cases standard and multiscaling forms. The results are obtained by analytic continuation from the classification scheme of Ehrenfest.

https://doi.org/10.1103/physrevlett.68.190