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Talk on ‘Collective 1/f fluctuations by pseudo-Casimir-invariants’ by Prof. Yoshiyuki Yamaguchi, Kyoto University – 14th August 2019

Prof. Yoshiyuki Yamaguchi from Kyoto University, Japan would be delivering a talk on ‘Collective 1/f fluctuations by pseudo-Casimir-invariants’ on 14th August 2019 at 3.15 PM.

All the students and faculty are invited to the talk.


Saradananda Seminar Hall, Prajna Bhavan, RKMVERI Belur Campus


The 1/f fluctuation is ubiquitously observed in nature and has attracted general interest over the past few decades. In this talk, we concentrate on collective motion in Hamiltonian systems with many degrees of freedom under long-range interaction, such as self-gravitating systems, plasmas, 2D Euler fluids, and so on. Dynamics of a long-range Hamiltonian system is described by the Vlasov equation, which has an infinite number of Casimir invariants. We propose a scenario to explain 1/f fluctuations by introducing the phenomenological concept of pseudo-Casimir-invariants [1]. We first explain what are pseudoCasimir-invariants, and then perform systematic numerical simulations to examine the proposed scenario.


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