Science of the atmosphere


 General, Notes

We explore few elements of the science of the atmosphere under a restrictive view of its relationships with fluids/plasmas. We confine our considerations to the organization of vorticity. and SOC (self-organization at criticality).

Basic notes on thermodynamics

The notes were required by the need to understand the creation and the growth of convective events.

Convection and vorticity

This is for preparation of works that reflect our idea that the vorticity is the fundamental factor in the organization of the convection, with distinct role in the complex physical structure.


 COST collaboration

The COST collaboration

It was a very fruiful collaboration and has actually went much beyond the stated subject. The discussions and the diversity of competencies have provided the best environment for advancing our ideas. Some people, whose contribution would have been highly useful, have manifested a certain reserve with regard to these meetings. Looking back, the dynamics of the discussion appears to be much better than the simple reading of an article and the opportunity of such meetings should have been more appreciated.

Cambridge march 2011:

Self-organization at criticality (SOC).

Reading 2012

RNG, The Renormalization Group

Hamburg 2012

Clouds size distribution and the limit of the renormalized probability function

Reading 2013

minimum rate entropy production: an example

Milano 2014

low order models


 Works related to the science of atmosphere

This is atmosphere work


   The barotropic equation is very familiar in the physics of the atmosphere. There is a inspiring mapping that can be drown between the ion fluid in the magnetically confined plasma and the planetary atmosphere (Horton and Hasegawa, Chaos, 1994). For this reason we use here the terminology for ion fluid, but few changes are needed to map to the atmosphere case.

Multiple space-time scales analysis

   The multiple space-time scales analysis of the barotropic equation. The calculations follow the papers from the physics of the atmosphere although the terminology is that of ion fluid in confined plasma.

Cloud expansion

Geometrical aspects of the interaction between the cloud expansion and the environment.

This work starts by a study of the formation of FINGERS at the interface between cloud and environment.

Further we examine the formation of CUSP singularities at the expanding front of a cloud into the environment. The procedure consists of following the singularities in the plane of complex variable which represent the conformal mapping between the unit disk and the physical front.

We also examine the breaking of rising columns dricen by buoyancy and exchanging vapor and heat with the environment. The procedure is rather schematic since we use an iterated function that carries - we expect - most of the properties of the structure of the horizontal section of the rising column. In any case, the breaking of the column and the loss of compacity - leading to fater extinction of the buoyancy drive, appears to be well represented.

We give detailed information on how to implement numerically these studies (not quite trivial).

Here is a presentation made on this subject in 2015. Essentially the same content as in Arxiv preprint.

This presentation has been made during the Meeting at the Romanian Meteorological Institute, in 2015




Tropical cyclone

A presentation made at Stowe (Vermont). Here there are many slides that are common with our other presentations.

we must recall the CAVEAT we have mentioned in our page Field Theoretical formulation...

Equality of the Rossby radius with the maximum radial extension of the atmospheric vortex

We find that the following two spatial dimensions are equal, if the organization of the vorticity is the main mechanism, still at work after the thermodynamic (cuasi) equilibrium has been reached:

  • Rossby radius
  • maximum radial extension of the atmospheric vortex

This is the electronic preprint.

A presentation made at Rhode Island. Again, I mention repetitively the basic elements of the field theoretical formulation for the atmospheric vortex.

see the CAVEAT

Self-organization at criticality of the atmospheric convection

It is a certitude that the concept of self-organization at criticality is well suited for the description of the atmospheric convection. The absence of a single analytical apparatus of SOC asks for careful investigation of the statistical models that can be taken as reference for the atmosphere. We argue that the adequate model Bak-Sneppen.

This is the electronic preprint.

This has been included in the book published as Report at the end of the COST collaboration.