Objective
This proposal concerns the concept of entropy, a measure of the disorder of a system, and one of the most profound but least understood discoveries of human knowledge. As shown by Boltzmann, entropy is based on probabilistic (combinatorial) concepts; it no w underpins present-day statistical physics, thermodynamics, information theory and encoding, optimisation and data extraction.
However, as shown by Jaynes and further developed by the researcher, there is scope to develop a far more powerful body of combinatorial information theory based on 'raw' combinatorial concepts, for the analysis of complex probabilistic systems. The potential for new methods for analysis of many engineering and environmental systems - to replace a variety of empirical and semi-theoretical methods - is especially strong.
In addition, in statistical physics a number of alternative entropy functions (e.g. Bose-Einstein, Fermi-Dirac, Rényi, Tsallis and Kaniadakis) have been introduced. These can also be interpreted in a combinatorial sense, and applied to systems with particular combinatorial properties.
The aim of this proposal is to unite these ideas, to develop a new, highly interdisciplinary field of combinatorial information theory, both in concept and application. In concept, the proposal will examine the combinatorial basis of the entropy concept, its relation to other bases and to quantum mechanics; and explore the combinatorial basis of alternative entropy functions, their properties, their optimisation, and the derivation of new forms.
In application, the proposal will bring the concept of elasticity, in engineering mechanics, into a thermodynamic framework; extend the methods of Jaynes and Chiu for the prediction of velocity profiles in turbulent fluid mechanics and turbulent boundary layers; develop new methods to analyse and optimise energy and environmental systems; and examine the inverse modelling of physical systems. A philosophical component is also proposed.
Fields of science (EuroSciVoc)
- natural sciences physical sciences quantum physics
- engineering and technology mechanical engineering applied mechanics
- natural sciences mathematics applied mathematics statistics and probability bayesian statistics
- natural sciences physical sciences thermodynamics
- natural sciences physical sciences classical mechanics statistical mechanics
Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP6-2005-MOBILITY-7
See other projects for this call
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
IIF - Marie Curie actions-Incoming International Fellowships
Coordinator
KØBENHAVN K
Denmark
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.