Objective
Understanding of relaxation process in the presence of fluctuations, with relevance to lasers and the detection of very weak signals, has been substantially improved. New insights have been obtained into stochastic resonance, with implications for ice ages, ring lasers, electron paramagnetic resonance, and the function of sensory neurons. A new theoretical approach has been developed to the problem of occasional large fluctuations, evolving time backwards from a final state and defining a prehistory probability density. Noise induced spectral narrowing and zero dispersion spectral peaks have been discovered. An improved understanding of domain growth in the presence of fluctuations has been gained. A nonequilibrium phase transition induced by coloured noise has been discovered.
It is proposed to work on the range of uncertainty inherent in the approximations required to solve certain kinds of stochastic differential equations, used to describe extremely complicated non deterministic phenomena. Comparing theoretical work with complementary analogue experiments and digital simulations it is proposed to study i) the relaxation of fluctuations in the steady state ii) the relaxation of unstable states iii) the relaxation of states that are marginally stable iv) the relaxation of metastable states of various kinds and v) the time evolution of probabilities, moments,
correlations and stochastic trajectories. In each of theses cases it is intended to establish, both experimentally and theoretically i) the relative roles of internal and external stochastic
fluctuations which are believed to be distinctively different and ii) the role of real external fluctuations for exponentially correlated Gaussian noise.
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.
- humanities history and archaeology history prehistory
- natural sciences mathematics pure mathematics mathematical analysis differential equations
- natural sciences mathematics applied mathematics dynamical systems
- natural sciences physical sciences optics laser physics
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Programme(s)
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Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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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.
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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.
Coordinator
LA1 4YW Lancaster
United Kingdom
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