A dedicated facility named High Radiation on Materials (HiRadMat) is being constructed at CERN to study the interaction of the 450 GeV protons generated by the Super Proton Synchrotron (SPS) with fixed solid targets of different materials. The main purpose of these future experiments is to study the generation and propagation of thermal shock waves in the target in order to assess the damage caused to the equipment, including collimators and absorbers, in case of an accident involving an uncontrolled release of the entire beam at a given point. Detailed numerical simulations of the beam-target interaction of several cases of interest have been carried out. In this paper we present simulations of the thermodynamic and the hydrodynamic response of a solid tungsten cylindrical target that is facially irradiated with the SPS beam with nominal parameters. These calculations have been carried out in two steps. First, the energy loss of the protons is calculated in the solid target using the FLUKA code [Fasso et al., “FLUKA: A multi-particle transport code,” Report Nos. CERN-2005-10, INFN/TC-05/11, and SLAC-R-773, 2005; Fasso et al., Conference on Computing in High Energy and Nuclear Physics, La Jolla, CA, 24–28 March 2003] and this energy loss data is used as input to a sophisticated two-dimensional hydrodynamic code, BIG2 [Fortov et al., Nucl. Sci. Eng.123, 169 (1996)], which is based on a Godunov-type numerical scheme. The transverse intensity distribution in the beam focal spot is Gaussian. We consider three different sizes of the focal spot that are characterized by standard deviations, σ=0.088, 0.28, and 0.88 mm, respectively. This study has shown that the target is severely damaged in all the three cases and the material in the beam-heated region is transformed into warm dense matter including a strongly coupled plasma state. This new experimental facility can therefore also be used for dedicated experiments to study high energy density matter.

1.
R. O.
Bangerter
,
J. W. K.
Mark
, and
A. R.
Thiessen
,
Phys. Lett.
88A
,
225
(
1982
).
2.
N. A.
Tahir
and
K. A.
Long
,
Phys. Lett.
90A
,
242
(
1982
).
3.
N. A.
Tahir
and
K. A.
Long
,
Nucl. Fusion
23
,
887
(
1983
).
4.
N. A.
Tahir
and
K. A.
Long
,
Laser Part. Beams
2
,
371
(
1984
).
5.
K. A.
Long
and
N. A.
Tahir
,
Phys. Lett.
91A
,
451
(
1982
).
6.
K. A.
Long
and
N. A.
Tahir
,
Nucl. Fusion
26
,
555
(
1986
).
7.
K. A.
Long
and
N. A.
Tahir
,
Phys. Rev. A
35
,
2631
(
1987
).
8.
A. R.
Piriz
,
Phys. Fluids
31
,
658
(
1988
).
9.
A. R.
Piriz
and
J. G.
Wouchuk
,
Phys. Fluids B
3
,
2889
(
1991
).
10.
11.
12.
C.
Deutsch
,
G.
Maynard
,
R.
Bimbot
,
D.
Gardes
,
S.
Della Negra
,
M.
Dumail
,
B.
Kubica
,
A.
Richard
,
M. F.
Rivert
,
A.
Servajean
,
C.
Fleurier
,
A.
Sanba
,
D. H. H.
Hoffmann
,
K.
Weyrich
, and
H.
Wahl
,
Nucl. Instrum. Methods Phys. Res. A
278
,
38
(
1989
).
13.
B. G.
Logan
,
L. J.
Perkins
, and
J. J.
Barnard
,
Phys. Plasmas
15
,
072701
(
2008
).
14.
W. F.
Henning
,
Nucl. Instrum. Methods Phys. Res. B
214
,
211
(
2004
).
15.
N. A.
Tahir
,
D. H. H.
Hoffmann
,
J. A.
Maruhn
,
K. -J.
Lutz
, and
R.
Bock
,
Phys. Plasmas
5
,
4426
(
1998
).
16.
N. A.
Tahir
,
D. H. H.
Hoffmann
,
J. A.
Maruhn
,
P.
Spiller
, and
R.
Bock
,
Phys. Rev. E
60
,
4715
(
1999
).
17.
N. A.
Tahir
,
S.
Udrea
,
C.
Deutsch
,
V. E.
Fortov
,
N.
Grandjouan
,
V.
Gryaznov
,
D. H. H.
Hoffmann
,
P.
Hulsman
,
M.
Kirk
,
I. V.
Lomonosov
,
A. R.
Piriz
,
A.
Shutov
,
P.
Spiller
,
M.
Temporal
, and
D.
Varentsov
,
Laser Part. Beams
22
,
485
(
2004
).
18.
N. A.
Tahir
,
A.
Adonin
,
C.
Deutsch
,
V. E.
Fortov
,
N.
Grandjouan
,
B.
Geil
,
V.
Gryaznov
,
D. H. H.
Hoffmann
,
M.
Kulish
,
I. V.
Lomonosov
,
V.
Mintsev
,
P.
Ni
,
D.
Nikolaev
,
A. R.
Piriz
,
N.
Shilkin
,
P.
Spiller
,
A.
Shutov
,
M.
Temporal
, and
V.
Ternovoi
,
S.
Udrea
, and
D.
Varentsov
,
Nucl. Instrum. Methods Phys. Res. A
544
,
16
(
2005
).
19.
N. A.
Tahir
,
H.
Juranek
,
A.
Shutov
,
R.
Redmer
,
A. R.
Piriz
,
M.
Temporal
,
D.
Varentsov
,
S.
Udrea
,
D. H. H.
Hoffmann
,
C.
Deutsch
,
I. V.
Lomonosov
, and
V. E.
Fortov
,
Phys. Rev. B
67
,
184101
(
2003
).
20.
N. A.
Tahir
,
A.
Shutov
,
D.
Varentsov
,
P.
Spiller
,
S.
Udrea
,
D. H. H.
Hoffmann
,
I. V.
Lomonosov
,
J.
Wieser
,
M.
Kirk
,
A. R.
Piriz
,
V. E.
Fortov
, and
R.
Bock
,
Phys. Rev. ST Accel. Beams
6
,
020101
(
2003
).
21.
N. A.
Tahir
,
C.
Deutsch
,
V. E.
Fortov
,
V.
Gryaznov
,
D. H. H.
Hoffmann
,
M.
Kulish
,
I. V.
Lomonosov
,
V.
Mintsev
,
P.
Ni
,
D.
Nikolaev
,
A. R.
Piriz
,
N.
Shilkin
,
P.
Spiller
,
A.
Shutov
,
M.
Temporal
,
V.
Ternovoi
,
S.
Udrea
, and
D.
Varentsov
,
Phys. Rev. Lett.
95
,
035001
(
2005
).
22.
A. R.
Piriz
,
R.
Portugues
,
N. A.
Tahir
, and
D. H. H.
Hoffmann
,
Phys. Rev. E
66
,
056403
(
2002
).
23.
A. R.
Piriz
,
N. A.
Tahir
,
D. H. H.
Hoffmann
, and
M.
Temporal
,
Phys. Rev. E
67
,
017501
(
2003
).
24.
A. R.
Piriz
,
M.
Temporal
,
J. J.
Lopez Cella
,
N. A.
Tahir
, and
D. H. H.
Hoffmann
,
Plasma Phys. Controlled Fusion
45
,
1733
(
2003
).
25.
A. R.
Piriz
,
J. J.
Lopez Cela
,
M. C.
Serna Moreno
,
N. A.
Tahir
, and
D. H. H.
Hoffmann
,
Laser Part. Beams
24
,
275
(
2006
).
26.
M.
Temporal
,
J. J.
Lopez Cela
,
A. R.
Piriz
,
N.
Grandjouan
,
N. A.
Tahir
, and
D. H. H.
Hoffmann
,
Laser Part. Beams
23
,
137
(
2005
).
27.
P.
Ni
,
M. I.
Kulish
,
V.
Mintsev
,
D. N.
Nikolaev
,
V. Ya.
Ternovoi
,
D. H. H.
Hoffmann
,
S.
Udrea
,
A.
Hug
,
N. A.
Tahir
, and
D.
Varentsov
,
Laser Part. Beams
26
,
583
(
2008
).
28.
E. R.
Koresheva
,
I. V.
Aleksandrova
,
E. L.
Koshelev
,
A. I.
Nikitenko
,
T. P.
Timasheva
,
S. M.
Tolokonnikov
,
A. A.
Belolipetskiy
,
V. G.
Kapralov
,
V. Yu.
Sergeev
,
A.
Blazevic
,
K.
Weyrich
,
D.
Varentsov
,
N. A.
Tahir
,
S.
Udrea
, and
D. H. H.
Hoffmann
,
Laser Part. Beams
27
,
255
(
2009
).
29.
O. S.
Bruning
, LHC Design Report No. CERN-2004-003-V-1,
2004
.
30.
N. A.
Tahir
,
B.
Goddard
,
V.
Kain
,
R.
Schmidt
,
A.
Shutov
,
I. V.
Lomonosov
,
A. R.
Piriz
,
M.
Temporal
,
D. H. H.
Hoffmann
, and
V. E.
Fortov
,
J. Appl. Phys.
97
,
083532
(
2005
).
31.
N. A.
Tahir
,
V.
Kain
,
R.
Schmidt
,
A.
Shutov
,
I. V.
Lomonosov
,
V.
Gryaznov
,
A. R.
Piriz
,
M.
Temporal
,
D. H. H.
Hoffmann
, and
V. E.
Fortov
,
Phys. Rev. Lett.
94
,
135004
(
2005
).
32.
N. A.
Tahir
,
R.
Schmidt
,
A.
Shutov
,
I. V.
Lomonosov
,
A. R.
Piriz
,
D. H. H.
Hoffmann
,
C.
Deutsch
, and
V. E.
Fortov
,
Phys. Rev. E
79
,
046410
(
2009
).
33.
N. A.
Tahir
,
R.
Schmidt
,
M.
Brugger
,
I. V.
Lomonosov
,
A.
Shutov
,
A. R.
Piriz
,
S.
Udrea
,
D. H. H.
Hoffmann
, and
C.
Deutsch
,
Laser Part. Beams
25
,
639
(
2007
).
34.
A.
Fasso
,
A.
Ferrari
,
J.
Ranft
and
P. R.
Sala
, “
FLUKA: A multi-particle transport code
,” Report Nos. CERN-2005-10, INFN/TC-05/11, and SLAC-R-773,
2005
.
35.
A.
Fasso
,
A.
Ferrari
,
S.
Roesler
,
R. P.
Sala
,
G.
Battistoni
,
F.
Cerutti
,
E.
Gadioli
,
M. V.
Garzelli
,
F.
Ballarini
,
A.
Ottolenghi
,
A.
Empl
, and
J.
Ranft
,
Conference on Computing in High Energy and Nuclear Physics
,
La Jolla, CA
, 24–28 March
2003
.
36.
V. E.
Fortov
,
B.
Goel
,
C. -D.
Munz
,
A. L.
Ni
,
A.
Shutov
, and
Yu. O.
Vorbiev
,
Nucl. Sci. Eng.
123
,
169
(
1996
).
37.
I. V.
Lomonosov
,
Laser Part. Beams
25
,
567
(
2007
).
38.
I. V.
Lomonosov
and
N. A.
Tahir
,
Appl. Phys. Lett.
92
,
101905
(
2008
).
39.
N. A.
Tahir
,
C.
Deutsch
,
V. E.
Fortov
,
V.
Gryaznov
,
D. H. H.
Hoffmann
,
I. V.
Lomonosov
,
A. R.
Piriz
,
A.
Shutov
,
P.
Spiller
,
M.
Temporal
,
S.
Udrea
, and
D.
Varentsov
,
Contrib. Plasma Phys.
45
,
229
(
2005
).
40.
V. K.
Gryaznov
,
I. L.
Iosilevskiy
,
Yu. G.
Krasnikov
,
N. I.
Kuznetsova
,
V. I.
Kucherenko
,
G. B.
Lappo
,
B. N.
Lomakin
,
G. A.
Pavlov
,
E. E.
Son
, and
V. E.
Fortov
,
Thermal Physics of Gas-Core Nuclear Reactor
, edited by
V. M.
Ievlev
(
Atomizdat
,
Moscow
,
1980
), p.
304
.
41.
W.
Ebeling
,
A.
Foerster
,
V. E.
Fortov
,
V.
Gryaznov
, and
A.
Polishchuk
,
Thermophysical Properties of Hot Dense Plasmas
(
Teubner
,
Stuttgart, Leipzig
,
1991
), p.
315
.
42.
V. K.
Gryaznov
,
V. E.
Fortov
,
M. V.
Zhernokletov
,
G. V.
Simakov
,
R. F.
Trunin
,
L. I.
Trusov
, and
I. L.
Iosilevskii
,
JETP
87
,
678
(
1998
).
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