1. On the internal structure of relativistic jets collimated by ambient pressure
A.V. Chernoglazov
Moscow Institute of Physics and Technology
with
V.S. Beskin, A.M. Kiselev and E.E. Nokhrina
HEPRO-6
Moscow, 2017

2. Internal structure – AGN
New possibilities
MOJAVE team (time)
Radioastron (base)

3. Internal structure – AGN Y.Y.Kovalev et al, ApJ, 668, L27 (2007)

4. VLBA+VLA1, 15 GHz
The inner jet structure is clearly resolved, a short counter jet is detected
Y.Y.Kovalev et al, ApJ, 668, L27 (2007)

5. F.Mertens et al, Astronomy & Astrophysics, 595, 20 (2016)
Not a free outflow – ambient pressure is to play an important role
F.Mertens et al, Astronomy & Astrophysics, 595, 20 (2016)

6. Collimation J. C. McKinney, A. Tchekhovskoy, R. D. Blandford
Collimation J.C.McKinney, A.Tchekhovskoy, R.D.Blandford. MNRAS, 423, 3083 (2012)
Parabolic?

7. force-free solution Current sheet (as a cheat)
Electric current inside a magnetosphere F.C.Michel, ApJ, 180L, 133 (1973)
force-free solution
Current sheet (as a cheat)

8. parabolic solution current changes its direction
Electric current inside a magnetosphere R.D.Blandford and R.L. Znajek, MNRAS, 179, 433 (1977)
parabolic solution
current changes its direction

9. Electric current inside a magnetosphere R. D. Blandford and R. L
Electric current inside a magnetosphere R.D.Blandford and R.L. Znajek, MNRAS, 179, 433 (1977)
parabolic solution

10. Electric current inside a magnetosphere R. D. Blandford and R. L
Electric current inside a magnetosphere R.D.Blandford and R.L. Znajek, MNRAS, 179, 433 (1977)
parabolic solution
What is here?

11. On current closure region
Magnetic tower
Bromberg et al, ApJ, 740, 100 (2011)

12. A back view
O.Porth et al, ApJ, 737, 42 (2011)

13. Our task There is neither current sheet nor external magnetic field
Velocity of particles and magnetic fields are null
Flow is supersonic

14. Grad-Shafranov approach
Bernoulli equation

15. Grad-Shafranov approach
Bernoulli equation

16. Grad-Shafranov approach
5 arbitrary “integrals of motion”:
1) angular velocity
2) z-component of the angular momentum flux
3) particle-to-magnetic flux ratio
4) relativistic entropy
5) energy flux

17. Example of solution
Radius of the jet

18. About properties of GS equations

19. About properties of GS equations

20. On the importance of integral H
It’s useful to introduce dimensionless parameter

21. The newest insight

22. The newest insight
Let’s compare the results

23. Calculations
Michel magnetization parameter (maximal bulk Lorentz-factor)

24. And the result

25. The end