Project description
Making sense of unpredictable systems
A problem in physics and fluid mechanics is to predict how systems behave when they do not behave like we expect, for example, when rare fluctuations occur. There are theoretical frameworks to describe these types of behaviours, however they tend to apply to tidy and idealised situations. Supported by the Marie Skłodowska-Curie Actions programme, the TOMABOLD project will use recent breakthroughs to test when current theories still hold true. One part of the project will improve the theory to handle more complex systems; the other will explore cases where predictions fail. TOMABOLD aims to give scientists better tools to understand unpredictable systems – from small-scale phenomena to the chaotic nature of turbulent flows.
Objective
The proposed project considers the problem of finding matching bounds for dynamical large deviations of natural models in
statistical physics and fluid mechanics. In a random system with a deterministic limit, dynamical large deviations describe the
exponential decay of probability that the system is close to a trajectory different from the deterministic limit; classic works by Kipnis-
Olla-Varadhan and Kipnis-Landim study such bounds. However, in many interesting cases, the available upper and lower bounds only
agree when restricted to sufficiently regular trajectories.
Recent developments give the problem of investigating the matching bounds new momentum. On the positive side, Fehrman-Gess
reached an important milestone in matching bounds for hydrodynamic limits by analysis of a PDE, and proved matching bounds for a
family of SPDEs related to hydrodynamic limits. On the negative side, my previous work identified a case where the naïve bound is
not sharp, related the existence of spurious solutions violating the energy identity. We will capitalise on these recent developments
to identify cases where the expected rate function does, and does not, capture all interesting phenomena.
The project will be divided into two parts, taking these recent developments as a jumping off point. The first part will concern two examples where we expect to find matching bounds, while the second part investigates (anticipated) deviations from the classical theory. In WP1, we will investigate wide-reaching generalisations of Fehrman-Gess theory, in WP1a to the more challenging case of systems of equations, and in WP1b to rougher scaling regimes via the renormalisation group. In WP2, we will investigate one model which connects the existing counterexample to the derivation of turbulence from molecular dynamics, and another model in which we hypothesise that the violation of a key technical estimate leads to behaviour different from what is predicted in the literature.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
You need to log in or register to use this function
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.
-
HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
MAIN PROGRAMME
See all projects funded under this programme
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.
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.
HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships
See all projects funded under this funding scheme
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.
(opens in new window) HORIZON-MSCA-2024-PF-01
See all projects funded under this callCoordinator
Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
0313 Oslo
Norway
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.