Oxford Plasma
Theory Group welcomes applications for DPhil studies
and research in plasma physics in the areas of magnetic confinement fusion (MCF)
and plasma astrophysics
(including "laboratory astrophysics")
Note that the project descriptions given below are
not set in stone and we are willing to discuss modifications and
adjustments to them that might better reflect your interests and
inclinations. ***
MORE NEW PROJECTS MAY APPEAR ON THIS PAGE IN DUE COURSE.
COME BACK AND CHECK! ***
Size of intake: this
depends on various hard-to-predict circumstances, in
particular funding arrangements; we accepted 2 fully funded
students in 2015, 4 in 2016, 3 in 2017, 3 in 2018, 1 in 2019,
3 in 2020, 2 in 2021, and 1 in 2022; we expect to take at
least 2 in 2023.
If you are interested in
MCF (either theoretical or experimental) or
generally in plasma physics, apply for a DPhil in Theoretical Physics.
Note that Theoretical Physics has three
separate DPhil competitions: in particle theory,
condensed matter and plasma physics. If you are
willing to be considered for more than one of these
topics, please state so explicitly in your
application form.
If you are interested in
plasma astrophysics, apply for a DPhil in Astrophysics. In order to be
considered by both subdepartments (Astrophysics and
Theoretical Physics) you may also apply for a DPhil in Theoretical Physics
(indicating plasma physics as your preferred area)
or, if you make a single application to either of
the two degrees, indicate clearly at the front
of your application form that you wish to be
considered by both subdepartments. This will
help us identify your application more quickly and
consider you for all available projects and funding
options across plasma physics. This is also a good
strategy if you are generally interested in plasma
physics and are flexible between its different
areas.
Internal Oxford scholarships: there
are a number of scholarships in physics available at
Oxford and its colleges. In order to be considered
for a scholarship funded by a particular college,
you do not need to select that college as your
college of first choice. There is one (known to us)
exception to this principle: if you are studying at
a Swiss university, apply to Lincoln
College to be eligible for a Berrow Foundation
Scholarship. If you are from India (or
certain other developing countries), make sure to
indicate on your application that you wish to be
considered for a Felix
Scholarship.
Choice of college: you may apply to
any college that accepts graduate applicants in
Physics. Choice of college can prove important for
your life as a graduate student: different colleges
offer different levels of support in terms of
research funds, accommodation, social integration
etc. We therefore recommend that you do not leave the
college choice blank, but do some research
on which college suits you best. We are happy to
give informal advice on the matter. Here is the list
of colleges where faculty members offering plasma
projects are Fellows: Merton (A.
Schekochihin), LMH
(G. Gregori), Univ (M.
Barnes and P.
Norreys).
If you are considering
applying for an external
scholarship and require our endorsement, in
the first instance please contact the supervisor
with whom you are most interested in working. Note the opportunities for Commonwealth
Scholarships.
You are welcome to
address inquiries on science to any of the project
supervisors listed below and on the logistical
aspects of applying to Mrs Michelle Jose (but
do please check first if your question is perhaps
already answered here).
At the application stage, you are not required to (although you
may if you wish) indicate which project you prefer --- we will
consider all applicants purely on intellectual merit. If you are
offered admission, we will strive to give you the opportunity to
work on the project of your choice.
1. Plasma
physics at the edge Supervisor:Prof Michael Barnes UKAEA co-supervisor: Dr John Omotani
In modern tokamak
plasmas, the topology of the confining magnetic field
changes abruptly near the plasma edge from nested toroidal
surfaces to "open" field lines that intersect the material
wall. This change in topology, combined with the presence of
neutrals from the wall and with sharp changes in equilibrium
plasma parameters, makes plasma dynamics in the
open-field-line region---known as the scrape-off-layer, or
SOL, for short---quite different from the dynamics in the
plasma core; e.g., the core transport of particles, momentum
and energy can be understood largely in terms of turbulent
diffusion, whereas SOL transport is thought to be
convective, with thin filaments (aka "blobs") responsible
for much of the transport. A theoretical understanding and
predictive capability for SOL dynamics is crucial because it
determines, amongst other things, how heat will be
distributed on the material wall. This in turn determines
whether or not the walls of future fusion experiments and
reactors will melt---and thus whether or not fusion is a
viable energy source. The aims of this project are to
develop a suitable set of model equations for edge plasma
dynamics, to implement these equations numerically and to
use the resultant simulations to study edge turbulence and
transport.
Turbulent transport limits the
confinement of tokamak plasmas, i.e., plasmas immersed in
axisymmetric---and thus 2D---magnetic fields. Consequently
much effort has gone into understanding the properties of
turbulence and transport in tokamaks. However, perfect
axisymmetry of the confining magnetic field is marred by
design constraints and by large-scale plasma instabilities.
Furthermore, non-axisymmetric fields are potentially
preferable for fusion reactors because they do not require a
current through the plasma for confinement and thus allow
for steady-state operation. There is thus considerable
interest in stellarators, which use 3D magnetic fields to
confine the plasma. Despite the importance of the problem,
there has been little work done on turbulence in 3D magnetic
fields. The aim of this project is to understand how
breaking axisymmetry affects plasma turbulence. In
particular, can 3D effects on turbulence explain some of the
mysterious transport phenomena observed in tokamaks, and how
much turbulent transport can we expect in optimised
stellarators? The student would address these questions with
a combination of analytical theory and high performance
computing.
Future fusion power plants will
operate with a Deuterium-Tritium mixture that will produce
highly energetic alpha particles and neutrons as products
from the DT fusion reaction. The high-energy alpha particles
(3.5 MeV) will heat the rest of the plasma and lead to a
self-heating state, a burning plasma. Such a state is the
"holy grail" of controlled thermonuclear fusion energy, but
has not been experimentally achieved to date. Confinement of
highly energetic particles is the first concern, both from
the point of view of maintaining a burning plasma and
because they could damage the reactor vessel's walls of
magnetic confinement devices. Highly energetic particles can
destabilise certain types of Alfven waves [1] (Alfven
eigenmodes), which can in turn produce high transport of the
energetic particles out of the device [2]. This is
detrimental to their confinement and therefore to the
overall power balance of a fusion power plant. Highly
energetic particles can also interact with the background
turbulence [3-6], which will then affect the overall plasma
transport and confinement of a power plant. Little is known
about the interactions between energetic particles, Alfven
eigenmodes and turbulence, however these are critical for
predicting and designing burning plasmas. This project seeks
to combine experimental measurements of turbulence and
Alfven eigenmodes with state-of-the-art turbulence
simulations (gyrokinetic simulations) to develop a
theoretical understanding of these interactions.
1. M. N. Rosenbluth & P. H. Rutherford, "Excitation of
Alfven waves by high-energy ions in a tokamak," Phys.
Rev. Lett. 34, 1428 (1975)
2. E. M. Bass & R. E. Waltz, "Gyrokinetic simulations of
mesoscale energetic particle-driven Alfvenic turbulent
transport embedded in microturbulence", Phys.
Plasmas 17, 112319 (2010); "Nonlinear verification of a
linear critical gradient model for energetic particle
transport by Alfven eigenmodes", Phys.
Plasmas 24, 122302 (2017)
3. J. Citrin et al., "Nonlinear stabilization of tokamak
microturbulence by fast ions", Phys.
Rev. Lett. 111, 155001 (2013)
4. G. Wilkie et al., "First principles of modelling the
stabilization of microturbulence by fast ions", Nuclear
Fusion 58, 082024 (2018)
5. A. Di Siena et al., "
Electromagnetic turbulence suppression by energetic particle
driven modes," Nuclear Fusion 59, 124001 (2019)
6. S. Mazzi et al., "Enhanced performance in fusion plasmas
through turbulence suppression by megaelectronvolt ions," Nature Phys. 18, 776 (2022)
Projects in
Plasma Astrophysics and Laser Plasmas
Candidates interested in any of these projects or generally
in plasma astrophysics, astrophysical turbulence and/or
dynamo theory are welcome to get in touch with prospective
supervisors for further information. A more bespoke project
can be designed to align with the inclinations and interests
of the student (for example how much emphasis is placed on
analytical vs. numerical methods or kinetic theory vs. fluid
dynamics, etc., is negotiable).
In magnetised astrophysical plasmas, there is a turbulent
cascade of electromagnetic fluctuations carrying free
energy from large to small scales. The energy is typically
extracted from large-scale sources (e.g., in the solar
wind, the violent activity in the Sun's corona; in
accretion discs, the Keplerian shear flow; in galaxy
clusters, outbursts from active galactic nuclei) and
deposited into heat---the internal energy of ions and
electrons. In order for this dissipation of energy to
happen, the energy must reach small scales---in weakly
collisional plasmas, these are small scales in the 6D
kinetic phase space, i.e., what emerges is large spatial
gradients of electric and magnetic fields and large
gradients of the particle distribution functions with
respect to velocities. This prompts two fundamental
questions: (1) how does the energy flow through the 6D
phase space and what therefore is the structure of the
fluctuations in this space: their spectra, phase-space
correlation functions etc. (these fluctuations are best
observed in the solar wind, but we can measure density and
magnetic fluctuations even in extragalactic plasmas, via
X-ray and radio observations); (2) when turbulent
fluctuations are dissipated into particle heat, how is
their energy partitioned between various species of
particles that populate the plasma: electrons, bulk ions,
minority ions, fast non-thermal particles (e.g., cosmic
rays). The latter question is particularly important for
extragalactic plasmas because all we can observe is
radiation from the particles and knowing where the
internal energy of each species came from is key to
constructing and verifying theories both of turbulence and
of macroscale dynamics and thermodynamics. This project
has an analytical and a numerical dimension (which of
these will dominate depends on the student's
inclinations). Analytically, we will work out a theory of
phase space cascade at spatial scales between the ion and
electron Larmor scales. Numerically, we will simulate this
cascade using "gyrokinetic" equations---an approach in
which we average over the Larmor motion and calculate the
distribution function of "Larmor rings of charge" rather
than particles (this reduces the dimension of phase space
to 5D, making theory more tractable and numerics more
affordable).
Background
Reading:
1. A. A. Schekochihin et al., "Astrophysical
gyrokinetics: kinetic and fluid turbulent cascades in
magnetized weakly collisional plasmas," Astrophys.
J.
Suppl. 182, 310 (2009)
2. A. A. Schekochihin et al., "Phase
mixing
vs. nonlinear advection in drift-kinetic plasma
turbulence,"
J.
Plasma Phys. 82, 905820212 (2016) (2019
IoP Payne-Gaposchkin Prize)
3. Y. Kawazura, M. Barnes, and A. A. Schekochihin,
"Thermal
disequilibration
of ions and electrons by collisionless plasma turbulence,"
PNAS 116, 771
(2019)
4. R.
Meyrand, A. Kanekar, W. Dorland, and A. A. Schekochihin,
"Fluidization
of collisionless plasma turbulence,"
PNAS 116, 1185
(2019)
5. A. A. Schekochihin, Y. Kawazura, and M. A. Barnes, "Constraints
on
ion vs. electron heating by plasma turbulence at low
beta,"
J.
Plasma
Phys. 85, 905850303 (2019)
6. R. Meyrand, J. Squire, A. A. Schekochihin, and
W. Dorland, "On the violation of the zeroth law of
turbulence in space plasmas," J.
Plasma Phys. 87, 535870301 (2021)
One notable achievement of early 20th century physics was the
development and experimental validation of theories of the
material properties (such as thermal conductivity or
viscosity) of everyday gases. Today, there is a pressing need
to establish analogous theories for the material properties of
the magnetised, weakly collisional plasmas found in
inertial-confinement fusion (ICF) experiments [1,2] and also
in many extreme astrophysical environments [3]---for example,
the intracluster medium (ICM) of galaxy clusters or black hole
accretion flows. In ICF research, accurate modelling of heat
transport is crucial for realising high-yield target designs.
In astrophysics, material properties are thought to play a key
role in long-standing conundrums such as the ICM's anomalous
temperature profile. Correctly interpreting high-quality
astronomical observations of astrophysical systems (such as
the now-famous EHT image of the M87 black hole) also requires
a robust understanding of the underlying physics of the plasma
composing them. Yet astronomical observations and measurements
from laser-plasma experiments have shown that classical models
for the transport properties of magnetised, weakly collisional
plasmas often fail dramatically [4]. Thanks to recent
technological advances in both high-performance computing and
high-energy laser facilities, now is ideal for studying this
problem systematically, combining theory, simulations, and
experiments. During a project on this topic, a student would
focus on the design and subsequent delivery of a new
experiment that will characterise laser heating and thermal
conductivity in magnetised, weakly collisional plasma.
Measurements will then be directly compared to newly derived
models [5-7]. While it is intended that the project will be
experimentally focused, there is scope for the student to
pursue different aspects of the experiment depending on their
interests, including data analysis techniques and simulations.
Understanding cosmic magnetism is a long-standing
problem in astrophysics. Astronomical observations of
various astrophysical environments---for example,
those of our own galaxy by the MeerKAT telescope [1]
or of more distant galaxy clusters [2]---reveal the
presence of finely structured magnetic fields of
sufficient strength to affect the dynamics of such
systems. A possible mechanism for explaining the
presence and characteristics of these magnetic fields
is the so-called fluctuation dynamo, whereby
stochastic or turbulent motions of the plasma in which
these magnetic fields are embedded amplify and
maintain them [3]. The fluctuation dynamo has mostly
been studied using simplified magnetohydrodynamic
(MHD) plasma models whose key transport properties
(viz., resistivity and viscosity) do not depend on
macroscopic plasma properties such as density,
temperature, and the magnetic field. However, the
plasma often found in the astrophysical systems of
interest is often weakly collisional, and current
theories for the transport properties of such plasma
typically do predict a dependence on macroscopic
plasma properties. It is an outstanding question
whether "anomalous" transport properties can explain
why certain predictions of the simplified theory of
the fluctuation dynamo are at odds with astronomical
observations (for example, that the energy-containing
scale of the magnetic field is macroscopic). In this
project, a student would explore how more realistic
models of transport properties affect the fluctuation
dynamo using both theory and numerical simulations,
and then attempt to identify key differences with
simplified dynamo theories that could be detected in
astronomical observations.
There are a number of
possibilities within this project to design, take part in,
and theorise about laboratory experiments employing
laser-produced plasmas to model astrophysical phenomena and
basic, fundamental physical processes in turbulent plasmas.
Recent examples of our work in this field include turbulent
generation of magnetic fields ("dynamo") [1,2], supersonic
turbulence mimicking star-forming molecular clouds [3],
diffusion and acceleration of particles by turbulence [4,5],
suppression of thermal conduction in galaxy-cluster-like
plasmas [6]. Our group has access to several laser
facilities (including the National Ignition Facility, the
largest laser system in the world). Students will also have
access to a laser laboratory on campus, where initial
experiments can be fielded. Depending on the student's
inclinations, it is also possible to pursue a project
focused on theory and/or numerical modelling of plasma
phenomena in astrophysical and laboratory-astrophysical
environments.
Gamma-ray bursts (GRBs)
are among the most energetic events in the Universe. They
occur at cosmological distances and are the result of the
collapse of massive stars or neutron stars mergers, with
emission of relativistic "fireballs" of electron-positron
pairs. From astrophysical observations, a wealth of
information has been gleaned about the mechanism that
leads to such strong emission of radiation, with leading
models predicting that this is due to the disruption of
the beam as it blasts through the surrounding plasma. This
produces shocks and hydromagnetic turbulence that generate
synchrotron emission, potentially accelerating to
ultra-high energies the protons which are observed on
Earth as cosmic rays. However, there is no direct evidence
of the generation of either magnetic fields or cosmic rays
by GRBs. Estimates are often based on crude energy
equipartition arguments or idealized numerical simulations
that struggle to capture the extreme plasma conditions. We
propose to address this lacuna by conducting laboratory
experiments at large laser and accelerator facilities to
mimic the jet propagation through its surrounding plasma.
Such experiments will enable in situ measurement of the
plasma properties, with exquisite details that cannot be
achieved elsewhere. The experiments also complement
numerical simulations by providing long measurement times
extending into the non-linear regime where numerical
simulations are not possible today. The proposed
experiments will study fundamental physics processes,
unveil the microphysics of GRBs, and provide a new window
in high energy astrophysics using novel Earth-based
laboratory tools.
Background Reading:
1.
C. D. Arrowsmith et al., "Generating untradense pair
beams using 400 GeV/c protons," Phys. Rev. Res. 3, 023103 (2021)