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Fractal structures in multidimensional chemical reaction dynamics

  • Full or part time
  • Application Deadline
    Tuesday, March 31, 2020
  • Self-Funded PhD Students Only
    Self-Funded PhD Students Only

Project Description

In many chemical reactions the reaction rate is determined by the crossing of an energy barrier. In order to predict whether a reaction will occur, one must understand the dynamics of the crossing in as much detail as possible. There is a growing interest in high-dimensional systems, which show novel dynamical effects.

Of particular importance are the trapped trajectories near the barrier top, i.e., those that never leave the barrier region. These trajectories organize the surrounding dynamics. They often from fractal structures.

In this project you will study the dynamics of simple chemical reactions with three atoms, which are the smallest systems in which high-dimensional effects occur. You will compute the clusters of trapped trajectories, their fractal dimension and stability properties and relate them to the reaction rate.

Links to find out more: http://www.lboro.ac.uk/departments/maths/staff/academic/thomas-bartsch/

Entry requirements

Applicants should have, or expect to achieve, at least a 2:1 Honours degree (or equivalent) in Mathematics or Physics or a related subject.

A relevant Master's degree and / or experience in one or more of the following will be an advantage: Mathematics or Theoretical Physics.

All students must also meet the minimum English Language requirements: https://www.lboro.ac.uk/international/apply/english-language-requirements/

How to apply

All applications are made online, please select the school/department name under the programme name section and include the quote reference number: MA/TB-Un1/2019

https://www.lboro.ac.uk/study/postgraduate/apply/research-applications/

Start date: Variable: 1 July, 1 October, 1 January, 1 April

Full-time duration: 3 years

Part-time duration: 6 years

Funding Notes

This is an open call for candidates who are sponsored or who have their own funding. If you do not have funding, you may still apply, however Institutional funding is not guaranteed. Outstanding candidates (UK/EU/International) without funding will be considered for funding opportunities which may become available in the School.

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