Related Experiment Video
Updated: May 21, 2025

Phase Behavior of Charged Vesicles Under Symmetric and Asymmetric Solution Conditions Monitored with Fluorescence Microscopy
Published on: October 24, 2017
Topological phase transition in antisymmetric Lotka-Volterra doublet chain
Rukmani Bai1,2, Sourin Chatterjee3,4, Ujjwal Shekhar5
1Leibniz Universität Hannover, Institut für Theoretische Physik, Appelstrasse 2, D-30167 Hannover, Germany.
Abstract:
We present the emergence of topological phase transition in the minimal model of two-dimensional rock-paper-scissors cycle in the form of a doublet chain. The evolutionary dynamics of the doublet chain is obtained by solving the anti-symmetric Lotka-Volterra equation. We show that the mass decays exponentially towards edges and robust against small perturbation in the rate of change of mass transfer, a signature of a topological phase. For one of the configuration of our doublet chain, the mass is transferred towards both edges and the bulk is gaped. Further, we confirm this phase transition within the framework of topological band theory. For this, we calculate the winding number, which change from zero to one for trivial and nontrivial topological phases, respectively.
Related Concept Videos
Phase Transitions
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.
Transmission-Line Differential Equations
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured...
Phase Transitions: Melting and Freezing
Phase Transitions: Sublimation and Deposition
First Law: Particles in One-dimensional Equilibrium

