Objective
We are interested in the study of the motion of tracer particles in random environments, realised either by random fields or by interacting particle systems with stochastic dynamics. When a tracer particle, initially performing a diffusive motion, is submitted to a uniform external field it starts drifting and reaches an asymptotic velocity. The Einstein Relation suggests that in the limit as the external field vanishes the velocity becomes proportional to the field, the constant of proportionality being the self-diffusivity of the tracer. Such a relation is believed to be generally valid for time reversible systems.
Until recently, rigorous proofs existed only for very few models and were in general ad-hoc. During the last two years however, tools are being developed that aim towards a unifying approach. We propose to study some open problems related to specific models (simple exclusion processes, divergence-free random fields) and work towards a general proof of the Einstein Relation with only mild assumptions on the system other than time reversibility.
Fields of science (EuroSciVoc)
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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.
FP6-2002-MOBILITY-11
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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.
Coordinator
HERAKLION
Greece
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.