Our group attends DPG 2024

This year we have finally managed to attend DPG Spring Meeting of the Condensed Matter Section 2024. We have listened to quite a few interesting contributions and received valuable feedback on our own research.

Justas (left) and myself (right) giving our
presentations.Fig 1.Justas (left) and myself (right) giving our presentations.

My master's degree student Justas Kvedaravičius showcased his research endeavors spanning both his bachelor's and master's studies in a compelling poster presentation. His research delved into the measurement of spatio-hierarchical heterogeneity and the analysis of rank dynamics within the compartmental voter model. Notably, his most recent exploration of rank dynamics, along with his journey to present at the conference, received a financial support from the Research Council of Lithuania through the student research project (during the semester) grant titled "Analysis of the compartmental voter model in terms of rank dynamics" (Grant No. S-ST-23-122).

I myself have presented my recent endeavors (in collaboration with a member of our group prof. B. Kaulakys) on modeling 1/f noise using model with non-overlapping rectangular pulses (although I have broken this assumption in my presentation), and exploration of the poll-induced delays in the voter model (in collaboration with R. Astrauskas, M. Radavičius and F. Ivanauskas from Faculty of Mathematics and Informatics). Notably, my trip was supported by Vilnius universties Science Promotion Fund.

I have presented my collaborative research efforts, conducted with prof. B. Kaulakys from our group, focusing on modeling 1/f noise. Our approach involved utilizing a model with non-overlapping rectangular pulses (things we have been writing about recently, for example, see this post, although I also did address the breaking of this assumption during my talk. I gave another talk as well, in which I discussed the impliciations of poll-induced delays to the phenomenology of the voter model, research conducted in collaboration with R. Astrauskas, M. Radavičius, and F. Ivanauskas from the Faculty of Mathematics and Informatics. Notably, my attendance at the event was made possible through support from the Vilnius University Science Promotion Fund.

Power-law distribution from superposition of exponential distributions

In the previous post we have asked a simple question - what if gap duration is distributed according to a power-law distribution. Our answer was an apparently pure 1/f noise. But how could the power-law distribution arise? While in some materials some quantities indeed follow power-law distribution (such as blinking times in quantum dot experiments [1]), most materials have exponentially distributed generation and/or recombination times. So then, can we construct a power-law distribution from superposition of exponential distributions?

Power-law gap times in random telegraph noise

In the last post we have assumed that the event rate of the individual processes making up the superposition needs to be distributed according the bounded Pareto distribution. And we have seen that in \( \alpha = 0 \) case, 1/f noise will be obtained. But superposition of such processes seems to be very demanding assumption, maybe we can choose another assumption? Here we will see what happens if we assume that gap times are assumed to follow bounded Pareto distribution, while the pulse times will still follow exponential distribution.