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  2. Robert Jack's homepage

    www.damtp.cam.ac.uk/user/rlj22/
    3 Jul 2024: News. Jul-2024: Paper on extinction events accepted in J Stat Mech. ... Jun-2024: Paper on flocking appears in New J Phys. May-2024: Paper on active turbulence appears in PRL.
  3. Rich Kerswell

    www.damtp.cam.ac.uk/user/rrk26/
    3 Jul 2024: New insights into experimental stratified flows obtained through Physics-informed neural networks" J.
  4. New books & media

    www.damtp.cam.ac.uk/user/lauga/papers/BookReview_PT.pdf
    25 Jun 2024: Fortunately, the resulting book was worth the wait. Authored by Eric Lauga, the lead editor of Physical Review Fluids, the new title covers such topics as viscosity, pipe flows, boundaries, vortices, ... CC PT. NEW BOOKS & MEDIA. Algebra the BeautifulAn
  5. Upcoming Talks (up to Aug 2022)

    www.damtp.cam.ac.uk/user/mjc249/Talks.html
    18 Jun 2024: University of New South Wales. 14-15 July 2020. The Foundations of Infinite-Dimensional Spectral Computations. ... The Unified Transform: A New Tool for Scattering Problems. Cambridge Analysts' Knowledge Exchange.
  6. Robert Jack's homepage

    www.damtp.cam.ac.uk/user/rlj22/pub.html
    3 Jul 2024: Fodor, New J. Phys. 26. , 063006 (2024). [DOI]. Thermodynamically consistent flocking: From discontinuous to continuous transitions, arXiv:2401.09901. ... Featured in new and notable section of Biophys J). [44] S.
  7. dynrel

    www.damtp.cam.ac.uk/user/tong/relativity/three.pdf
    3 Jul 2024: a new name for this object. The second reason to be interested in dimensionless quantities is because the answer.
  8. dynrel

    www.damtp.cam.ac.uk/user/tong/relativity/one.pdf
    3 Jul 2024: properties, from which we will see new concepts emerging such as energy and conserva-. ... such as the trajectory of a particle, become ill-defined. The new framework that.
  9. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel6.pdf
    26 Jun 2024: any attempt to introduce new physics that goes beyond the Standard Model will typi-. ... sector. In particular, this new perspective gives the strong CP problem extra bite.
  10. 6 Tensors A famously annoying definition of a tensor ...

    www.damtp.cam.ac.uk/user/tong/vc/vc6.pdf
    12 Jun 2024: hand. I will introduce a new symbol for “dierentiation and anti-symmetrisation” and. ... connection. Here our new anti-symmetric derivative obeys D2(anything) = 0. But we.
  11. 12 Jun 2024: For. such curves, we introduce new notation and write the line integral asI. ... should be viewed as infinitesimally close to each other. These two new segments have.
  12. munich_talk_mjc

    www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_munich.pdf
    10 Jun 2024: 20. 21. New Papers on“Koopman Operators”. number of papers. doubles every 5 yrs. ... 17. 20. 18. 20. 19. 20. 20. 20. 21. New Papers on“Koopman Operators”.
  13. 12 Jun 2024: meet. The sign means that it’s good news for one, less good for the other. ... Both new terms come with. minus signs, which is appropriate because fighting is bad.
  14. 6. Large N Non-Abelian gauge theories are hard. We ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/6n.pdf
    26 Jun 2024: these properties. With these new couplings, the Yang-Mills action is. SYM = N. ... gauge theory. At this point, it is useful to introduce some new notation.
  15. BMC_talk_mjc

    www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_manchester.pdf
    18 Jun 2024: 20. 21. New Papers on“Koopman Operators”. number of papers. doubles every 5 yrs.
  16. 3 The Formalism of Quantum Mechanics In the previous ...

    www.damtp.cam.ac.uk/user/tong/qm/qm3.pdf
    26 Jun 2024: and gives you back a new function. Throughout these lectures we will dress any such.
  17. topicsinqm

    www.damtp.cam.ac.uk/user/tong/aqm/topics1.pdf
    2 Jul 2024: E, so the new Hamiltonian reads. H = 2. 2mr2 V (r) ex E.
  18. 4 A Quantum Particle in Three Dimensions We will ...

    www.damtp.cam.ac.uk/user/tong/qm/qm4.pdf
    26 Jun 2024: imuthal angular momentum). Before we get going, let’s introduce some new variables. ... plifying things, we’ve introduced a new physical constant c, the speed of light.
  19. topicsinqm

    www.damtp.cam.ac.uk/user/tong/aqm/topics2.pdf
    2 Jul 2024: Then, whenever we’re faced with a new problem we can root around in our toolbox,. ... and h;|p2(0)|;i = m!2. The position operator now evolves, governed by the new Hamiltonian H,.
  20. Preprint typeset in JHEP style - HYPER VERSION 2018 ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/1em.pdf
    26 Jun 2024: mathematical construct known as a fibre bundle. This brings something new to the. ... The equations (1.13) carry much – although not all – of the new physics.
  21. 2 A Quantum Particle in One Dimension There is ...

    www.damtp.cam.ac.uk/user/tong/qm/qm2.pdf
    26 Jun 2024: only take certain discrete values in this new framework. For the particle on a circle, we. ... Take whatever you. think is the coolest result in physics – maybe the Higgs boson, or some new material.
  22. cosmo

    www.damtp.cam.ac.uk/user/tong/cosmo/three.pdf
    26 Jun 2024: It will be useful. to give a new name to the quantity @P/@n: we write it as. ... new notation, reads. @n. @t. r. = rr (nu). Changing to co-moving coordinates, it then becomes. @.
  23. 26 Jun 2024: be to embrace this mathematical description and leverage it to build a new intuition. ... new ingredient that dramatically changes the. outcome: this is interference. Here we give a.
  24. 7. Quantum Field Theory on the Line In this ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/72d.pdf
    26 Jun 2024: We also take this opportunity to add a new ingredient to pure Maxwell theory. ... generate new solitonic states. These are kinks which transform in the left and right-.
  25. 3. Anomalies We learn as undergraduates that particles come ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/3anom.pdf
    26 Jun 2024: This. means that the new partition function is exactly the same as the original partition. ... For fermions this measure is schematicallyZ. D D ̄ (3.22). When we change to new variables.
  26. Preprint typeset in JHEP style - HYPER VERSION Lent ...

    www.damtp.cam.ac.uk/user/tong/aqm/topicsinqm.pdf
    2 Jul 2024: E, so the new Hamiltonian reads. H = 2. 2m2 V (r)ex E.
  27. Preprint typeset in JHEP style - HYPER VERSION 2018 ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/gt.pdf
    26 Jun 2024: mathematical construct known as a fibre bundle. This brings something new to the. ... promote θ to a new dynamical field. Here we’re considering it to be some fixed back-.
  28. dynrel

    www.damtp.cam.ac.uk/user/tong/relativity/six.pdf
    3 Jul 2024: Figure 40: Hurricane Katrina, which hit. New Orleans in 2005. lectures on Fluid Mechanics.) It is also responsible for the formation of hurricanes.
  29. 26 Jun 2024: be to embrace this mathematical description and leverage it to build a new intuition. ... new ingredient that dramatically changes the. outcome: this is interference. Here we give a.
  30. J. Fluid Mech. (2024), vol. 988, A10, doi:10.1017/jfm.2024.223 Flow…

    www.damtp.cam.ac.uk/user/hinch/publications/JFM988_A10.pdf
    10 Jun 2024: J. Fluid Mech. (2024), vol. 988, A10, doi:10.1017/jfm.2024.223. Flow of an Oldroyd-B fluid in a slowly varyingcontraction: theoretical results for arbitraryvalues of Deborah number in the ultra-dilutelimit. Evgeniy Boyko1,†, John Hinch2 and Howard
  31. G-Adaptive mesh refinement - leveraging graphneural networks and…

    www.damtp.cam.ac.uk/user/gam37/preprints/preprint_g-adaptive_mesh_refinement.pdf
    11 Jun 2024: Our new approach combines agraph neural network (GNN) powered architecture, with training based on directminimisation of the FE solution error with respect to the mesh point locations. ... Contributions Indeed, our central novelty is to provide a new
  32. topicsinqm

    www.damtp.cam.ac.uk/user/tong/aqm/topics6.pdf
    2 Jul 2024: transmission coecients. It is useful both because it highlights new features of the. ... We can also think about the S-matrix using our new basis of states.
  33. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel4.pdf
    26 Jun 2024: 165 –. symmetry U(1)0Vand a new axial symmetry U(1)0. A, under which the quarks transform. ... So in this case,. the surviving discrete symmetry doesn’t tell us anything new.
  34. dynrel

    www.damtp.cam.ac.uk/user/tong/relativity/four.pdf
    3 Jul 2024: 0. It looks as if we’ve found a new conserved quantity since we’ve learnt that. ... Now that we understand orbits, let’s see how Kepler’s laws can be derived from New-.
  35. cosmo

    www.damtp.cam.ac.uk/user/tong/cosmo/one.pdf
    26 Jun 2024: Preprint typeset in JHEP style - HYPER VERSION Michaelmas Term, 2019. CosmologyUniversity of Cambridge Part II Mathematical Tripos. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,.
  36. Preprint typeset in JHEP style - HYPER VERSION Lent ...

    www.damtp.cam.ac.uk/user/tong/relativity/dynrel.pdf
    3 Jul 2024: properties, from which we will see new concepts emerging such as energy and conserva-. ... such as the trajectory of a particle, become ill-defined. The new framework that.
  37. 5 The Poisson and Laplace Equations Until now, our ...

    www.damtp.cam.ac.uk/user/tong/vc/vc5.pdf
    12 Jun 2024: construct a new solution. dipole(x) = d r. 1. r. =. d x. r3. for any constant vector d and, again, with r 6= 0. ... origin to the new point x0. Using this, we can continue our proof.
  38. 12 Jun 2024: For. such curves, we introduce new notation and write the line integral asC. ... should be viewed as infinitesimally close to each other. These two new segments have.
  39. 3 Grad, Div and Curl In this section we’re ...

    www.damtp.cam.ac.uk/user/tong/vc/vc3.pdf
    12 Jun 2024: equations to illustrate new ideas. You’ll find the Laplacian sitting in many other equations of physics.
  40. List of publications H.K. Moffatt May 24, 2024 Curriculum ...

    www.damtp.cam.ac.uk/user/hkm2/HKM_publications.pdf
    18 Jun 2024: Moffatt, H. K. 2006a Corner flow: a classical problem with a new twist. ... K. 1993d Spiral structures in turbulent flow. In New Approaches and Concepts inTurbulence (ed.
  41. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel7.pdf
    26 Jun 2024: And the good news. is that there is a very natural explanation at hand. ... allows for something new. This is the term. LMaj =1. 2MRR h.c.
  42. PUBLICATION LIST -- J

    www.damtp.cam.ac.uk/user/tsm/jrw_publist1.pdf
    3 Jun 2024: Miklowitz and J. D. Achenbach, pp. 347-371, John Wiley, New York (l978). ... Nemat-Nasser, pp. 59-66, Pergamon, New York (1980). 51. D. R. S.
  43. 2 Surfaces (and Volumes) The main purpose of this ...

    www.damtp.cam.ac.uk/user/tong/vc/vc2.pdf
    12 Jun 2024: Our new notation does, however, retain the idea of ordering. You should work from. ... with something new and exciting: an unorientable surface, known as a Möbius strip.
  44. topicsinqm

    www.damtp.cam.ac.uk/user/tong/aqm/topics4.pdf
    2 Jul 2024: 4. Atoms in Electromagnetic Fields. Our goal in this chapter is to understand how atoms interact with electromagnetic. fields. There will be several stages to our understanding. We start by looking at atoms. in constant, background electromagnetic
  45. cosmo

    www.damtp.cam.ac.uk/user/tong/cosmo/two.pdf
    26 Jun 2024: the combined system will eventually settle down to a new equilibrium state at some. ... of the chemical potential. Now we can use the chemical potential for something new.
  46. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel5.pdf
    2 Jul 2024: We did it assuming that there was nothing new to find as we went.
  47. dynrel

    www.damtp.cam.ac.uk/user/tong/relativity/five.pdf
    3 Jul 2024: We can write this by introducing a new vector! = ̇ẑ,.
  48. topicsinqm

    www.damtp.cam.ac.uk/user/tong/aqm/topics5.pdf
    2 Jul 2024: We’ll introduce. some new notation for this state that will become useful in the following section: we.
  49. 4. Lattice Gauge Theory Quantum field theory is hard. ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/4lattice.pdf
    26 Jun 2024: This then leaves us with a new theory defined on a lattice with spacing 2a. ... and 4 are left-handed. We see that, once again, the lattice has generated new gapless.
  50. 8. Quantum Field Theory on the Plane In this ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/83d.pdf
    26 Jun 2024: We. could compute it, but it does not give any qualitatively new insights into the physics.
  51. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel2.pdf
    26 Jun 2024: 2.1 Discrete Symmetries. The idea of spontaneous symmetry breaking is not something new: it appears in some.

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