Last updated: March 25, 2024 @ 10:18AM

Peter Berg

Faculty of Mathematics and Science

Melanie Pilkington

Faculty of Mathematics and Science

Core Faculty

Stephen Anco (Mathematics), Peter Berg (Physics), David A. Crandles (Physics), Thad A. Harroun (Physics), Alexandre Odesskii (Mathematics), Fereidoon S. Razavi (Physics), Maureen Reedyk (Physics), Kirill Samokhin (Physics), Thomas Wolf (Mathematics), Tony Yan (Chemistry)

Edward Sternin (Physics), Amir Mofidi (Engineering)

Gavin Hester (Physics), Jasneet Kaur (Physics), Ganesh Ramachandran (Physics), Pouria Ramazi (Mathematics and Statistics), Barak Shoshany (Physics), Alonso Zavafer (Biology and Engineering)

Tapash Chakraborty (University of Manitoba), Josef Dubicki (Hamilton Health Sciences), John Katsaras (NRC, Chalk River), Reinhard Kremer (Max-Planck Institute, Germany), Jerry Sokolowski (University of Windsor)

John E. Black (Physics), Shyamal K. Bose (Physics), Bozidar Mitrovic (Physics), Stuart M. Rothstein (Chemistry)

Maureen Reedyk

mreedyk@brocku.ca

Courtney Lee

905-688-5550, extension 3412

Mackenzie Chown B210

physics@brocku.ca

Elena Genkin

Sara Monafared

Ivana Komljenovic Metcalf

Fulvio (Phil) Boseglav

The Department of Physics offers thesis-based MSc and PhD programs which focus on condensed matter physics, materials science, theoretical physics, and biophysics. Potential fields of research which may be pursued are described below. Students will gain extensive experience in research, critical thinking and essential communication and technical skills, which will prepare them for successful careers in industry, academic and other institutions and organizations. Hands-on use of our research equipment provides excellent job training and gives our graduates a significant advantage in the job market over those students who have only an undergraduate degree.

The department also offers a Master of Science in Materials Physics (MSMP) International Student Program (ISP) that provides intensive, hands-on graduate training in advanced experimental, theoretical, and computational techniques of modern materials science. The program aims to prepare highly knowledgeable and skilled graduates, who will be trained as materials physicists who can work independently or in collaboration with others to fill jobs in industry, government agencies, research institutes and universities worldwide. The program offers two options: a 16-month (four term) course-based option and a 2-year (six term) course-plus-project (MRP) option. Both options require completion of the non-credit Graduate Science Preparation seminar course PHYS 5N02 prior to or concurrent with the start of the program.

The MSMP program focuses on skills to identify important and critical problems and to use appropriate methods and techniques to address them. Students will also learn how to communicate their results to a scientific audience as well as to non-technical management staff, and to evaluate the business and societal impact of their work without prejudice. These goals will be achieved through graduate seminar presentations and through the production of detailed technical laboratory and term project reports conforming to the rigorous standards of scientific and technical publications in the fields of materials science and technology.

Successful completion of four-year Bachelor's degree, or equivalent, in Physics with a minimum B average. Applicants holding a degree without sufficient concentration in the area of the intended Master's degree, may be required to complete additional courses beyond those outlined as required for degree completion. Agreement from a faculty advisor to supervise the student is also required for admission to the program.

The Graduate Admissions Committee will review all applications and recommend admission for a limited number of candidates.

Part-time candidates may be considered.

Successful completion of a four-year Bachelor's degree, or equivalent, from an accredited University, in Physics or a closely related discipline, with a minimum B average over the last two years of full-time undergraduate study. Proof of English language proficiency will be required from all applicants. The minimum required score for entry is 80 on the TOEFL iBT (no section under 19), 6.5 on the IELTS (no section under 5.5). For a full listing of accepted tests, see brocku.ca/nextstep/internationalstudents/english-language-proficiency/.

The Program Committee will review all applications and recommend admission for a limited number of candidates. Applicants holding a degree without sufficient background in Physics may be required to complete additional qualifying undergraduate courses prior to an admission decision.

All students in the program will be initially admitted to the course-based option. Admission to the Major Research Project (MRP) option is on a competitive basis. Students may be admitted to the MRP option following completion of the first three terms of the MSMP (ISP) course-based option. MRP students are required to maintain a minimum 75% overall average. Admission to the MRP option is on the basis of grades, and supervisor availability. An interview may be required. MRP students will complete all of the requirements for the MSMP course-based program prior to starting the MRP. MRP students will normally complete the requirements of the MRP option over the two terms following completion of the MSMP course-based program requirements.

Students can be admitted into the PhD program through one of the following three options: (1) after successful completion of an MSc degree or equivalent in Physics or closely related discipline, with at least an 80% overall average; or (2) after one year in the Brock Physics MSc program. Students wishing to transfer to PhD Studies will be expected to have completed all master's coursework, except for PHYS 5P91, with at least an 80% average. In addition, the student must submit a report on the progress made on the MSc thesis research, including a literature review and a PhD proposal, prior to the transfer. The transfer requires approval by the supervisory committee. (3) In exceptional cases, a student may be admitted directly to the PhD program with a four-year honours Bachelor's degree, or the equivalent; their academic standing and research potential must be demonstrably commensurate with readiness for doctoral study. Agreement from a faculty advisor to supervise the student is also required for admission to the program.

The Graduate Admissions Committee will review all applications and recommend admission for a limited number of candidates.

Only full-time PhD students will be admitted.

· | PHYS 5P91 |

· | One of PHYS 5P11*, PHYS 5P12*, PHYS 5P30, PHYS 5P41 or PHYS 5P50 |

· | PHYS 5F90 |

· | One additional PHYS 4*** or higher 0.5 Credit Courses |

· | Two additional PHYS 5*** or higher 0.5 Credit Courses |

All students must complete a research project that culminates in writing and defending a thesis. Additional credits may be required where a candidate is deficient in a particular area of study as determined by the supervisory committee.

MSc students must enroll in the thesis course PHYS 5F90 each term. All students are also expected to attend Departmental seminars.

For full-time students, the program is normally a six term or two-year program.

*Requires permission of the graduate program director, and is intended for students who enter the program from a non-traditional background

· | PHYS 5N02 (non-credit) |

· | PHYS 5P70 |

· | PHYS 5P83 |

· | Two 0.5 Credit Courses from: PHYS 5P11, PHYS 5P12, PHYS 5P30, PHYS 5P41, PHYS 5P50, PHYS 5P61, PHYS 5P74 |

· | PHYS 5P79 |

· | PHYS 5P80 |

· | PHYS 5P81 |

· | PHYS P582 |

· | PHYS 5P10 |

· | PHYS 5P92 |

· | PHYS 5P96 |

· | PHYS 5P97 |

Students must successfully complete the program requirements over four terms of study (normally Fall, Winter, Spring/Summer, Fall). All students are also expected to attend Departmental seminars.

For full-time students in the Major Research Project (MRP) option, the Materials Physics MSc is normally a six term or 24 month program. Every Materials Physics MSc MRP candidate must complete the course requirements of the course-based program, and a full-credit Research Project (PHYS 5P96 + PHYS 5P97). All candidates must conduct, submit, and present a Research Project which demonstrates proficiency in applying concepts in Materials Physics and is typically completed in the final two terms of study. In the penultimate term of the MRP option, students complete PHYS 5P96. In the final term of the MRP option, students complete PHYS 5P97.

Total Credits for the Program: 3.0 (students admitted with MSc or transfer from MSc), 4.0 (students admitted from BSc)

· | PHYS 7P91 |

· | PHYS 5N01 (non-credit) |

· | PHYS 7F90 |

Electives:

· | Three additional PHYS 5P** or higher 0.5 Credit Courses |

· | Two additional PHYS 5P** or higher 0.5 Credit Courses (students admitted from BSc only) |

For full-time students entering the PhD program through option 1 or 3, the program is normally a 12 term or four-year program. For full-time students entering the PhD program as a transfer student from the MSc, the program is normally a 15 term or five-year program inclusive of the time spent in the MSc.

All students must complete a research project that culminates in writing and defending a thesis. There will be an oral defense of the thesis. PhD students must enroll in the thesis course PHYS 7F90 each term. All students are also expected to attend Departmental seminars.

All students must complete three courses from the following list during their graduate studies (Masters and Doctoral): Advanced Quantum Mechanics (PHYS 5P50), Advanced Statistical Physics (PHYS 5P41), Advanced Electrodynamics (PHYS 5P30), Group Theory (PHYS 5P66) and Magnetism and Magnetic Materials (PHYS 5P74). Equivalent courses from other institutions could be acceptable to satisfy this requirement upon approval by the Physics program at Brock University.

Additional credits may be required where a candidate is deficient in a particular area of study as determined by the supervisory committee.

Students must also successfully complete a comprehensive examination, which takes place within the first 24 months of the PhD program. Students must complete all of their course requirements (except the writing and the graduate seminar course) before the comprehensive examination. The examination committee consists of a Chair, two members of the supervisory committee and one additional Physics graduate faculty member. The examination consists of an oral presentation by the student about their research, followed by questions from the examination committee. The supervisor may attend but will not directly participate in the examination.

The following research fields are currently represented, and are described in detail on our website at: http://www.physics.brocku.ca/Programs/

Superconductivity: unconventional pairing, high-Tc, magnetic, noncentrosymmetric superconductors, topological quantum materials, quantum magnets, topology in physics, dynamic systems, mathematical physics, general relativity, foundations of quantum mechanics, the nature of time and causality, time travel and faster-than-light travel, symbolic and high-performance scientific computing, parallel and concurrent computing.

Investigation of the optical properties of materials via optical spectroscopy from mm wave to UV. Raman spectroscopy. Preparation and characterization of ceramic, single crystal and thin film (using pulsed-laser deposition) materials. Magnetic and transport properties at ambient and high-pressure utilizing measurement techniques such as SQUID magnetometry, specific heat and dc-resistivity. Synthesis, design, and investigation of nanostructured materials. Neutron scattering.

Nuclear Magnetic Resonance spectroscopy and relaxation measurements in soft condensed matter systems. Study of collective motions in model membranes, phase transitions in liquid crystals. Exploration of various morphologies and phase behaviour of lipid/water systems using scattering techniques (e.g. Neutrons, x-ray and light). Study of the protein/membrane interactions; structural characteristics of membrane active peptides. Computational methods in biomolecular simulations.

Experimental research facilities are supported by electronics, glassblowing, and machine shop services. The University provides extensive computing facilities using UNIX servers and high-performance clusters.

Note that not all courses are offered in every session. Refer to the applicable timetable for details.

Students must ensure that prerequisites are met. Students may be deregistered, at the request of the instructor, from any course for which prerequisites and/or restrictions have not been met.

PHYS 5F90

Original research project involving the preparation and defence of a thesis which will demonstrate a capacity for independent work. The research shall be carried out under the supervision of a faculty member and the thesis defended at an oral examination.

PHYS 5N01

Organizational and stylistic skills of writing, referencing, and appropriate use of figures, graphs, and tables within an original scientific document such as a research journal article.

PHYS 5N02

Intensive English seminar on the norms of the practice of science; the development of academic skills such as critical thinking and synthesizing arguments and ideas; referencing plagiarism; academic presentations and discussions; the development of specialized vocabulary in English.

Restriction: Students in the MSc in Materials Physics (ISP) Program, or permission of the instructor.

PHYS 5P00

(also offered as CHEM 5P00)

Self-consistent-field (SCF) method: configuration interaction; basis functions; electron correlation; physical properties of atoms, diatomic and polyatomic molecules.

PHYS 5P09

(also offered as MATH 5P09)

Introduction to solitons: Linear and nonlinear travelling waves. Nonlinear evolution equations (Korteweg de Vries, nonlinear Schrodinger, sine-Gordon). Soliton solutions and their interaction properties. Lax pairs, inverse scattering, zero-curvature equations and Backlund transformations, Hamiltonian structures, conservation laws.

Note: taught in conjunction with PHYS 4P09.

PHYS 5P10

(also offered as MATH 5P69)

Survey of computational methods and techniques commonly used in condensed matter physics research; graphing and visualization of data; elements of programming and programming style; use of common subroutine libraries; common numerical tasks; symbolic computing systems. Case studies from various areas of computational physics. Discipline-specific scientific writing and preparation of documents and presentations.

Note: Taught in conjunction with PHYS 4P10

PHYS 5P11

Foundations of thermal and statistical physics. Topics include heat and temperature, the kinetic theory of gases, laws of thermodynamics, entropy, thermodynamic functions and Maxwell's relations, equipartition of energy, partition functions, canonical and grand canonical ensembles and the chemical potential.

PHYS 5P12

Review of quantum mechanics: bound and scattering states, spin, atoms, periodic potentials. Crystal lattices: x-ray diffraction, electronic band structure. Review of classical and quantum statistics: electrons in metals and semiconductors, phonons, photons. Introduction to non-equilibrium and transport phenomena in materials.

PHYS 5P20

(also offered as MATH 5P20)

Computer algebra applications of solving polynomial systems of algebraic and differential systems of equations are covered, including the necessary algebraic background. Polynomials and ideals, Groebner bases, affine varieties, solving by elimination, Groebner bases conversion, solving equations by resultants, differential algebra, differential Groebner bases.

PHYS 5P30

Electromagnetic wave propagation in vacuum, dielectrics, conductors, and ionized gases; wave guide and transmission line propagation; dipole and quadrupole radiation fields; relativistic transformation of the electromagnetic fields; radiation by moving charges.

PHYS 5P41

Statistical ensembles; mean field and Landau theory, critical phenomena, and the renormalization group; quantum fluids; superfluidity; selected topics on disordered systems.

PHYS 5P50

Angular momentum, rotations, and scalar and vector operators, selection rules; Pauli principle and periodic table; nuclear shell model; degenerate perturbation theory; electron in magnetic field, Landau levels; time evolution in quantum mechanics, time-dependent perturbation theory; elastic scattering.

PHYS 5P60

(also offered as MATH 5P60)

Review of linear and nonlinear equations in two variables. Existence and uniqueness theory, fundamental solutions, initial/boundary-value formulas for the heat equation, wave equation, Laplace equation in multi-dimensions. Exact solution techniques for 1st and 2nd order linear and nonlinear equations. Analysis of solutions, variational formulations, conservation laws, Noether's theorem.

PHYS 5P61

Intrinsic properties of nuclei, nuclear binding energy; qualitative treatment of shell model; alpha, beta and gamma radioactivities, nuclear fission, characteristics of nuclear reactions.

Note: course taught in conjunction with PHYS 4P61.

PHYS 5P64

(also offered as MATH 5P64)

Topics may include: Lagrangian and Hamiltonian mechanics, field theory, differential geometric structures, Lie groups and Lie algebras, G-bundles, manifolds, introduction to algebraic topology. Applications to theoretical physics.

PHYS 5P65

Gravitation as a spacetime field theory. Spacetime metric, covariant derivative, and curvature; light cones and causality. Isolated systems and mass, energy-momentum, angular momentum. Einstein's field equation of gravitation. Black hole solutions (Schwarzschild and Kerr metrics), cosmological solutions (Robertson-Walker metric), and their physical properties.

PHYS 5P66

(also offered as MATH 5P66)

Abelian groups, permutation groups, rotation groups. Representations of discrete and continuous groups by linear transformations (matrices). General properties and constructions of group representations. Representations of specific groups. Lie groups and Lie algebras. Applications in various areas of Mathematics, including invariant theory and group algebras, and Theoretical Physics, including crystallography and and symmetries in quantum systems.

PHYS 5P67

(also offered as BIOL 5P67, BTEC 5P67 and CHEM 5P67)

Seminar/lecture course on experimental techniques in biophysics. Focus is on understanding the theory, applications and limitations of a variety of techniques students will encounter during their graduate studies. Techniques will range from advanced spectroscopy (absorption, fluorescence, NMR, X-ray diffraction) to molecular biochemistry spectroscopy.

PHYS 5P68

(also offered as MATH 5P30)

Introduction to dynamical systems and their applications in mathematical modeling. Linear flows, local theory of nonlinear flows, linearization theorems, stable manifold theorem. Global theory: limit sets and attractors, Poincaré- Bendixson theorem. Structural stability and bifurcations of vector fields. Low dimensional phenomena in discrete dynamics. Chaotic dynamics: routes to chaos, characterization of chaos and strange attractors.

PHYS 5P70

Energy bands in metals, semiconductors, and insulators; lattice dynamics; electrical, magnetic, thermal, optical, and transport properties of solids.

PHYS 5P71

Long-range order in condensed matter systems: charge and spin density waves, etc; strongly-correlated electron systems; quantum Hall effect; metal-insulator transitions; other topics to be selected by the instructor.

PHYS 5P72

Green's functions at zero and finite temperature; perturbation theory and Feynman diagrams; linear response theory; electron-electron and electron-phonon interactions; electrons in disordered systems; Fermi liquid theory; introduction to BCS theory of superconductivity.

PHYS 5P73

Overview of basic experimental facts; London theory; BCS theory; symmetry of the order parameter; Ginzburg-Landau theory and magnetic properties of superconductors; quasiparticle excitations in superconductors: thermal and transport properties; macroscopic phase coherence phenomena.

PHYS 5P74

Fundamental and device applications of magnetism will be explored. Magnetic materials and magnetic measurements; domains, domain walls, domain processes, magnetization curves, and hysteresis; soft and hard magnetic materials and applications; magnetic recording; new developments and recent progress: magnetic multilayer structures, granular magnetic thin films, and giant magnetoresistance.

PHYS 5P79

Survey of experimental methods commonly used in condensed matter physics: optical and NMR spectroscopy, SQUID magnetometry, neutron and X-ray scattering, low-temperature and high-pressure technology. Techniques presented will vary. Designing experiments with advanced equipment and critical analysis of the results on both statistical and methodological grounds. Introductory classroom centered section will be followed by several individualized hands-on modules of short duration focusing on each of the specific techniques.

PHYS 5P80

Survey of experimental methods used in materials physics.

PHYS 5P81

Experimental course that focuses on sample preparation. Projects may include the synthesis of ceramic materials and fabrication of thin films of these materials, nano particles of ceramic materials prepared by methods such as sol-gel and solid-state reactions, alloys and amorphous materials.

Prerequisite(s): PHYS 5P79 or permission of the instructor.

PHYS 5P82

Culminating project investigating various structural, electronic, magnetic, and optical properties of materials prepared in PHYS 5P81 using various techniques learned in PHYS 5P79 and PHYS 5P80.

Prerequisite(s): PHYS 5P79, PHYS 5P80 and PHYS 5P81 or permission of the instructor.

PHYS 5P83

Introduction to the physics, theory of operation, and data analysis approaches of experimental materials physics characterization techniques.

Corequisite(s): PHYS 5P79 or permission of the instructor.

PHYS 5P91

Independent study and presentation of major research papers in the area of specialization. Each student is required to attend and participate in all seminars given by students registered in the course. Students are also required to attend all the Departmental seminars.

PHYS 5P92

Independent study and presentation of major research papers in materials physics. Each student is required to attend and participate in all seminars given by students registered in the course. Students are also required to attend all the Departmental seminars.

PHYS 5P96

Comprehensive experimental, theoretical or computational research project in Materials Physics completed under the supervision of a faculty advisor. Literature review, project proposal and initial work.

Restriction: Open to MSMP students who have completed all of the course requirements for the course-based MSMP Program option with permission of the Physics Graduate Program Director.

PHYS 5P97

Comprehensive experimental, theoretical or computational research project in Materials Physics completed under the supervision of a faculty advisor. Project completion and report.

Restriction: Open to MSMP students who have completed all of the course requirements for the course-based MSMP Program option with permission of the Physics Graduate Program Director.

Prerequisite(s): PHYS 5P96

PHYS 5V50

A first graduate course in the central theories of condensed matter physics. Topics include advanced electromagnetism, statistical physics, and quantum mechanics.

PHYS 5V80-5V89

Investigation of a specific area or group of related topics in physics. Approval of the Graduate Program Director is required prior to registration.

PHYS 7F90

Original research project involving the preparation and defence of a thesis which will demonstrate a capacity for independent work. The research shall be carried out under the supervision of a faculty member and the thesis defended at an oral examination.

PHYS 7P91

Independent study and presentation of major research papers in the area of specialization. Each student is required to attend and participate in all seminars given by students registered in the course. Students are also required to attend all of the Departmental seminars.