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Future Blog Post

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Blog Post number 4

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Blog Post number 3

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Blog Post number 1

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Effective intermittency and cross correlations in the standard map

Published in Physical Review E, 2015

We define auto- and cross-correlation functions capable of capturing dynamical characteristics induced by local phase-space structures in a general dynamical system. These correlation functions are calculated in the standard map for a range of values of the nonlinearity parameter k. Using a model of noninteracting particles, each evolving according to the same standard map dynamics and located initially at specific phase-space regions, we show that for 0.6<k≤1.2 long-range cross correlations emerge. They occur as an ensemble property of particle trajectories by an appropriate choice of the phase-space cells used in the statistical averaging. In this region of k values the single-particle phase space is either dominated by local chaos (k≤kc with kc≈0.97) or it is characterized by the transition from local to global chaos (kc<k≤1.2). Introducing suitable symbolic dynamics we demonstrate that the emergence of long-range cross correlations can be attributed to the existence of an effective intermittent dynamics in specific regions of the phase space. Our findings support the recently established relation of intermittent dynamics and cross correlations [F. K. Diakonos, A. K. Karlis, and P. Schmelcher, Europhys. Lett. 105, 26004 (2014)] in simple one-dimensional intermittent maps, suggesting its validity also for two-dimensional Hamiltonian maps.

Recommended citation: G. Datseris, F. K. Diakonos, and P. Schmelcher, Phys. Rev. E 92, 012914 (2015) https://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.012914

DynamicalBilliards.jl: An easy-to-use, modular and extendable Julia package for Dynamical Billiard systems in two dimensions.

Published in JOSS, 2017

Recommended citation: G. Datseris, The Journal of Open Source Software 2, 458 (2017) https://doi.org/10.21105/joss.00458

DynamicalSystems.jl: A Julia software library for chaos and nonlinear dynamics.

Published in JOSS, 2018

Recommended citation: G. Datseris, The Journal of Open Source Software 3(23), 598 (2018) https://doi.org/10.21105/joss.00598

Ballistic(?) transport in graphene antidot super-lattices

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Talk about the first year of my PhD project, in which we found signatures of ballistic motion in devices with mean free path much too short to allow for such signatures to be visible.

Jumping into Julia

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Half-day workshop that introduced the Julia programming language to scientists already familiar with programming.

Nonlinear Resonances and Phase-space volume conservation lead to robust ballistic transport in antidot superlattices

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Invited talk where I showcased the results of the first half of my PhD project. In short, we have found a deep connection between phase-space volume conservation of a Hamiltonian system and the macroscopic resistance one observes when measuring a nanodevice.

Husimi Functions in graphene: Measuring Klein Tunneling

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Using the Husimi function in scattering wavefunctions obtained in tight-binding simulations of nanodevices. Extending the concept of the Husimi function for electrons moving in magnetic fields. Applying these tools in graphene, specifically to study Klein tunneling from a different perspective.

The Nature of Micro-Timing Deviations in Musical Performances

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This talk had two parts: the first was presenting the paper (Sogorski, Geisel and Priesemann, PLoS One 13 (1), 2018 ) of our “music research group” in the MPIDS. I only participated briefly in this project.

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Kac’s Lemma and solid-state nanodevices?

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Talk about the billiards aspect of the first half of my Ph.D., mainly revolving about how we used Kac’s lemma to connect and prove the fundamental phase-space properties of billiards with the resistance of solid state nanodevices.

Chaos in discrete maps & Period doubling; Lyapunov exponents & Invariant measures

Undergraduate course, University of Athens, department of Physics, 2014

Total of 9 hours lecture for the course called “Non-linear dynamical systems” for the undergraduate program of the department of Physics, university of Athens.

Introduction to the Physics of Complex Systems

Tutoring, University of Göttingen, department of Physics, 2016

Tutoring for the course (total amount of around 48 hours) with lecturers R. Fleischmann, U. Parlitz and K. Alim.

Introduction to the Physics of Complex Systems

Tutoring, University of Göttingen, department of Physics, 2017

Tutoring for the course (total amount of around 48 hours) with lecturers R. Fleischmann, U. Parlitz and A. Golami.