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[Fizinfo] Emlékeztető/Reminder: Ortvay kollokvium/Ortvay colloquium ma/today

Chronological Thread 
  • From: Kormányos Andor <andor.kormanyos AT>
  • To: "fizinfo AT" <fizinfo AT>, "ttk-fiz-faculty AT" <ttk-fiz-faculty AT>, "ttk-fiz-kutato AT" <ttk-fiz-kutato AT>, "ttk-fiz-emeritus AT" <ttk-fiz-emeritus AT>, "ttk-fiz-postdoc AT" <ttk-fiz-postdoc AT>, "ttk-fiz-phd-hallgatok AT" <ttk-fiz-phd-hallgatok AT>, "ttk-fiz-alkalmazottak AT" <ttk-fiz-alkalmazottak AT>, Márton Pósfai <posfaim AT>
  • Subject: [Fizinfo] Emlékeztető/Reminder: Ortvay kollokvium/Ortvay colloquium ma/today
  • Date: Thu, 29 Feb 2024 10:28:16 +0000
  • Accept-language: hu-HU, en-US
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ELTE TTK Fizikai Intézet / ELTE Institute of Physics


Thursday, 29th February 2024, 15:00h.

Pócza Jenő Classroom, Physics Building 1.71

Pázmány Péter sétány 1/A, 1117 Budapest.

Márton Pósfai

Central European University

Modelling physical networks

Physical networks are spatially embedded complex networks composed of nodes
and links that are physical objects which cannot overlap. Examples of
physical networks range from neural networks and networks of bio-molecules to
computer chips and disordered meta-materials. It is hypothesized that the
unique features of physical networks, such as the non-trivial shape of nodes
and links and volume exclusion affect their network structure and function.
However, the traditional tool set of network science cannot capture these
properties, calling for a suitable generalization of network theory. Here, I
present recent efforts to understand the impact of physicality through two
classes of analytically tractable models: (i) linear physical networks (LPN),
which construct networks from straight cylinders [1,2], and (ii) a
network-of-network model (NoN) that construct physical networks from random
walk trajectories [3]. Using a variety of analytical tools, I characterize,
for example, the onset of physical effects and the emergence of a jamming
transition in LPNs, showing that physicality impacts the network structure
even when the total volume of the links is negligible. I also show that in
the NoN model physicality induces heterogeneity in both the physical and the
network properties and that the two become strongly correlated. I study the
dynamics on physical networks by characterizing the network’s Laplacian
spectrum, and we show that the Laplacian of the combinatorial network $Q_G$
is not sufficient to describe the dynamics on physical networks and that the
physical layout must be taken into account as $V^{−1/2} Q_G V^{−1/2}$ where
$V$ is a diagonal matrix containing the volume of the nodes. Overall, our
model demonstrates that in the presence of volume exclusion, traditional
methods of network science are not sufficient to characterize the structure
of physical networks and the dynamics on them.

[1] Pósfai, Márton, et al. "Impact of physicality on network structure."
Nature Physics (2023): 1-8.
[2] Bonamassa, I., et al. "Bundling by volume exclusion in non-equilibrium
spaghetti." arXiv preprint arXiv:2401.02579 (2024).
[3] Pete, Gábor, et al. "A network-of-networks model for physical networks."
arXiv preprint arXiv:2306.01583 (2023).

Andor Kormányos

  • [Fizinfo] Emlékeztető/Reminder: Ortvay kollokvium/Ortvay colloquium ma/today, Kormányos Andor, 02/29/2024

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