Objective
1. Einstein relation for a tracer particle in simple exclusion processes: Einstein relation relates the mobility of a charged particle in the presence of an external field to its self-diffusion coefficient. In my Ph.D. thesis I prove that such a relation is valid for a tracer particle in symmetric simple exclusion processes in 3 or more dimensions. We would like to investigate its validity in dimensions 1 and 2, as well as in mean zero asymmetric simple exclusion processes.
2. The motion of a tracer particle in simple exclusion with reflecting boundary : The diffusively rescaled position of a tracer particle in simple exclusion converges to a Brownian motion. When the translation invariance symmetry is broken the question remains open . It is expected that when we consider a symmetric simple exclusion process on the positive integers with reflecting boundary at zero the position of the particle will converge to a reflected Brownian motion. This is a question we would like to investigate.
3. Asymptotic density in a coalescing driven system: Consider a particle system which consists of particles of two types, say A and B. Particles A (ambient gas molecules) perform simple exclusion and they swap places with particles B (aerosol particles), which also coagulate at a certain rate when they come close. We are interested in the asymptotic behavior in time of the density of particles B.
Programme(s)
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Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
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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
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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
CB3 0WB CAMBRIDGE
United Kingdom
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