W8. Thermalization of Nonintegrable Many-Body Systems

Workshop organized by:
S. Flach


Thermalization of Nonintegrable Many-Body Systems

We propose a topical workshop on the thermalization of nonintegrable many-body (macroscopic) systems. Dynamical Hamiltonian systems with macroscopic numbers of degrees of freedom at finite densities are assumed to be generically nonintegrable, thermalize (show ergodicity and mixing) and be far out of reach of the validity thresholds of the KAM regime of finite systems.
Recent results of Malishava and Flach (PRL 128 134102 2002) reveal that there are at least two distinct classes of weakly nonintegrable systems whose thermalization properties differ qualitatively. In one class, one-time scale diverges upon approaching the integrable limit and controls all other thermalization time scales. In the second class, an additional length scale is diverging upon approaching the integrable limit, making the class members ideal candidates for many-body localization upon subsequent quantization.
Results by Rumpf, Mithun and others showed that adding a second integral of motion to the existing energy one may lead to non-ergodic dynamics and non-Gibbs statistics even far from any integrable limit.
We want to merge the above communities and discuss recent advances in both directions. Among the many important questions, we propose to focus on the computing of critical exponents for the two system classes, the identifying of further novel system classes, the impact of disorder and quantization, the relaxing of the condition of having additional integrals of motion, among others.



SigmaPhi Prizes

The SigmaPhi Prize for 2020 and SigmaPhi Prize for 2023 have been awarded during SigmaPhi2023 Conference to

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SigmaPhi Awards

During the conference, four works selected out of all the oral and poster presentations have been awarded.

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SigmaPhi 2023 Europhysics Conference

The European Physical Society (EPS) has recognized the SigmaPhi 2023 as Europhysics Conference.

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Scientific Sponsors 2023


Statistical and Nonlinear

Physics Division 

Politecnico di Torino




Roma, Italy


Technical University of

Crete Chania, Greece


Aristotele University of

Thessaloniki, Greece


N.C.S.R. Demokritos

Athens, Greece


University of Leuven


University of Cagliari



AFEA Company

Athens, Greece




MDPI publisher




edp Scince publisher



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