Beyond Coevolutionary Optimality in Non-Ergodic Statistical Physics: Unveiling The 5th Principle

Meteoceanics chairman Rui Perdigão has launched an international project on Theoretical Thermodynamics and Statistical Physics. The main goal entails the development of the new general principle governing the breach of coevolutionary optimality and unlocking the predictability of post-critical emergence in non-ergodic statistical physics, recently introduced by Rui Perdigão.

The project emerges from his general program on the Mathematical Physics and Predictability of Complex Coevolutionary Systems.

For a start, the record is made straight on coevolution. The current status of the art is dominated by dynamical system formulations that essentially revolve on kinematic geometry – where physics are notoriously absent. However, unlike popular belief, coevolution is not about a history of interaction between variables over time, i.e. it is not about kinematic geometry. Dynamic coupling, scale interactions and feedbacks are important in a dynamical system, but none of them entail coevolution.

Framing coevolution in the light of theoretical physics enables us to elicit not only its governing principles but also the associated thermodynamic optimality. This in turn is fundamental to lift the theory from an optimality-bound fate to a more realistic setting in which optimality itself is challenged. By eliciting underlying mechanisms governing such challenges, we unveil the fundamental laws governing the breach of optimality principles, generalising thermodynamic theory with a new overarching principle.

The links to the classical theories will be done by showing that all four principles of thermodynamics are in essence particular cases of our general principle.

As happens with all our purely scientific projects, this initiative is independent from any commercial, political or academic constraints. Our ultimate quest is the fundamental quest for knowledge.

Even so, the project provides a significant edge to design novel energy solutions, which we develop for trade through Meteoceanics Energy.

 

Listings in Meteoceanics Education

Within the chair in Fluid Dynamical Systems and the Meteoceanics Interdisciplinary Centre for Complex System Sciences, the following disciplines are nurtured and delivered by our coordinator Prof. Dr. Rui Perdigão:

Semester-long Disciplines:

  • Fluid Dynamical Systems: introductory (BSc/MSc) and advanced (MSc/PhD);
  • Information Physics and Evolutionary Complexity: advanced (MSc/PhD);
  • Earth System Dynamics: introductory (BSc/MSc) and advanced (MSc/PhD);
  • Dynamic Meteorology, Oceanography and Climatology: advanced (MSc/PhD);
  • Frontiers in Fluid Dynamical Systems: advanced (PhD);
  • Complex System Dynamics, Analytics and Predictability in Earth and Environmental Sciences: advanced (PhD).

Modular Disciplines:

  • Dynamical System Analytics in Physics and Engineering: introductory (MSc);
  • Non-Equilibrium Thermodynamics and Statistical Physics: advanced (PhD);
  • Mathematical Physics and Modelling: introductory (BSc/MSc) and advanced (PhD);
  • Mathematical Methods in the Geophysical Sciences: advanced (MSc/PhD);
  • Hydro-Climate Dynamics: introductory (BSc/MSc) and advanced (MSc/PhD);
  • Electrodynamics and Magnetohydrodynamics of the Earth: advanced (PhD);
  • Nonlinear Analytics and Machine Learning: advanced (PhD);
  • Information Theory and Kinematic Geometry: introductory (MSc);
  • Atmospheric Physics A: Thermodynamics: (MSc) introductory;
  • Atmospheric Physics B: Fluid Dynamics: (MSc) introductory;
  • Atmospheric Physics C: Electricity and Optics: (MSc) introductory;
  • Atmospheric Physics D: Numerical Modelling: (MSc) advanced;
  • Atmospheric Physics E: Nonlinear Geostatistics: (MSc) advanced;
  • Computational Hydrodynamics in GPU Architectures: advanced (PhD).

We further deliver the following topics both as courses and workshops:

  • Fluid Dynamical Systems
  • Mathematical Physics and Modelling
  • Information Physics
  • Nonlinear Thermodynamics, Complexity and Predictability
  • Nonlinear Analytics and Machine Learning
  • Computational Fluid Dynamics
  • Dynamic Meteorology and Oceanography
  • Hydro-Climate Dynamics
  • Earth System Dynamics.

All course materials, including manuals, software and experimental setups are available via M-DSC under copyright of the author (® Rui A. P. Perdigão).

Other initiatives can be formulated and scheduled on request.

Mathematical Physics and Predictability of Complex Coevolutionary Systems

Meteoceanics chair Prof. Dr. Rui Perdigão has launched an international program on the mathematical physics of complexity. The program entails the theoretical establishment of the fundamental principles and general governing laws for complex systems, including the far from equilibrium coevolutionary dynamics where the ergodic assumptions of classical dynamical system theories do not work. The theory provides fundamental physical understanding and dynamic predictability in non-standard systems where there are no established invariants of motion, no attractors, no definite phase space, and no scale separability (i.e. where the classical scale interaction paradigms are not possible, and the predictability of both deterministic and stochastic formulations collapse).

A series of projects are set within this program, from fundamental mathematical physics to applications including complex system modelling, big data analytics, robust assessment of environmental conditions in fast-changing theatres of operation, dynamic risk assessment and decision support under trans-critical climate change.