Related Experiment Video
Updated: Apr 29, 2026

Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets
Published on: May 15, 2017
Transition-type change between an inverted Berezinskii-Kosterlitz-Thouless transition and an abrupt transition in
Tomoaki Nogawa1, Takehisa Hasegawa2
1Faculty of Medicine, Toho University, 5-21-16, Omori-Nishi, Ota-ku, Tokyo 143-8540, Japan.
Abstract:
We study the bond percolation on a one-parameter family of a hierarchical small-world network and find the metatransition between an inverted Berezinskii-Kosterlitz-Thouless (iBKT) transition and an abrupt transition driven by changing the network topology. It is found that the order parameter is continuous and the fractal exponent is discontinuous in the iBKT transition, and oppositely, the former is discontinuous and the latter is continuous in the abrupt transition. The gaps of the order parameter and the fractal exponent in each transition vanish as they approach the metatransition point. This point corresponds to a marginal power-law transition. In the renormalization group formalism, this metatransition corresponds to the transition between transcritical and saddle-node bifurcations of the fixed point via a pitchfork bifurcation.
Related Concept Videos
Entropy Change in Reversible Processes
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
Switching of BJT
Cut-off Mode ("Off" State): In this state, both the emitter-base and collector-base junctions are...
Reversible and Irreversible Processes
Woodward–Hoffmann Selection Rules and Microscopic Reversibility
Phase Transitions
Phase Transitions

