Track Theory and Radiation Effects.

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Track Theory and Radiation Effects.

• Ditlov V.A.Alikhanov Institute of Theoretical
  and Experimental Physics. 117124, Moscow, B.
  Cheremushkinskaya 25, Russia

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• Assumption of R. Katz

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Bogomolov K. S Fluctuation Theory of
photographic action of weakly charged particles.
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Theory of Track formation with account of
multiple scattering of ?-electrons.
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In the upper expressions frequency of effective
So, we have the next four registration parametrs
of the approach These registration parameters
can be found theoreticaly as in the Fluctuation
theory of K. Bogomolv or they can be found from
calibration experiments, as it was done for
application of R.Katz Unified Track Theory. These
paratemeters serve as a bridge between real
radiation effects and probability of local
response of our Track Theory, which these
radiation effects capable to evoke. This is a
very principal moment, Track Theory doesnt
describe radiation effects and didnt assignt for
it. There exists a inumerous number of radiation
effects. Some of them participate in given local
response formation and for given detector others
have no relation with it. On the other side,
knowning mechanism of radiation effects evoking
the given local response, it is possible to use
these knowledges for registration parameters
calculation by theoretical way.
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• Local responses can have absolutely different
  natures
• Thermal spike mechanism
• 2. Mechanisms of shock waves and radial Coulomb
  explosions.
• 3. Arising amorphous regions in crystalls and
  crystallic microstructures in amorphous
  materials.
• 4. Set other kinds of phase transitions
• 5. Produces a long and narrow disordered zone
  along its trajectory.
• 6. Different kinds of throwing material out from
  track axis and appearing hollow volumes inside
  along track axis.
• 7. Arising point deffects at track axis and
  around it.
• 8. Rough or thin Molecular changes in some
  limited regions of polimer detectors (and
  sometimes in non polimer detectors)
• There are can be many other mechanisms of local
  response formation
• Sometimes there can be competion between
  different mechanisms, but sometimes they can
  produce joint action for local response
  formation.
• All these mechanisms have or can have their own
  mathematical descriptions and all they are, in
  fact, radiation effects.
• Track theory can use these radiation effects. If
  there are built up a method for description any
  effect participating in local response forming,
  this method can be used in Track Theory. But
  Track Theory is not designed for radiation effect
  description!

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Besides d-electrons, there exist either other
possibilities to delieve energy in point, distant
from track axis, and to produce there a local
reponse. I suppose, for example, that phonons
quite capable for it and equations for
probabilities of local response formation are
availbles for it, only it is necessary to use
differential function of phonon (not of
d-electrons!) distributions. Similar, the same
equation are suitable for description of positron
flows. In this case track theory should
buitifully work as for different detectors as for
different kind transportation energy from track
axis to other points of its body.
In spite this, it is impossible to built up any
theory describing all radiation effects. But is
it possible at least one step in this direction?
Yes it is! It is possible, because all kinds of
radiation effects have commen origin
interaction of moving ion with the matter of the
detectors and this interactions has discret
nature. These interactions are limited in space
expansion and in time duration and it is possible
to appreciate them!
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With this aim we can use uncertainty relations of
Geisenberg
It can be easely deduced
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There is a no sens to speak about less interval
of space and time, defined by these functions.
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Thus, it turned out that for different radiation
effects and for different detectors there exists
not common phenomenon discretness of
interaction acts, but common relation
inequality of Geisenberg, which allows appreciate
minimal spatial intervals, inside which local
response is birthing.
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Conclusions 1. In formation of local responses
can participate competiting or cooperating
different radiation effects. 2. Delivery of
energy for formation of spatial distributions of
local responses can be realised by any flows
different from flow of delectrons. 3. There
exist minimal extensions in space and time for
interaction of charged particles and ions with
material of detector. They defined limit
possibilities for different ions and detectors in
scientific research and in technological
application, such as, for example,
nanotechnology. 4. There exist maximal
frequancies of the discussed interactions in
space and in time. 5. For quick appraciations the
uncertainty relations of Geisenberg can be
rewriten as
In a supposition that
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Thank you for your attention!
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For example, processes initiated by radiation can
formate size of local response, as it takes place
in Wilson camera. For which using data about
pressures and surface tension of liquid drop it
is possible to find its radius of the drop.
Similar, in the model of thermal spike another
phase transition is considered for nuclear core
diameter calculation.
In general case simultaneous several radiation
effects can be joint in a cooperation for local
response formation. That is why, for example, it
is reasonable to consideration some composition
of radiation effects as it is tested in works .
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b dEds/dEds(1) ds1/ds d s1_KOM/ds_Kom P_em debr1/debre sq r(Ce4)/sqr1 dt1/dt
0.05 1 1 1 1 1 1 1
0,1 0,3879 0,4404 0,2509 1 0,4981 0,4997 0,8808
0,15 0,2075 0,263 0,1116 0,9956 0,33 0,3312 0,7891
0,2 0,1306 0,1807 0,06279 0,967 0,2453 0,2463 0,723
0,25 0,09054 0,1346 0,04019 0,906 0,1939 0,1947 0,6729
0,3 0,06684 0,1055 0,02792 0,8255 0,1592 0,1599 0,6334
0,35 0,05162 0,08586 0,02051 0,7403 0,134 0,1346 0,6012
0,4 0,04123 0,07177 0,0157 0,6594 0,1147 0,1152 0,5745
0,45 0,0338 0,06126 0,01241 0,5864 0,09938 0,09978 0,5517
0,5 0,0283 0,05318 0,01005 0,5225 0,08674 0,08708 0,5322
0,55 0,02411 0,0468 0,008307 0,4673 0,07605 0,07635 0,5153
0,6 0,02085 0,04166 0,00698 0,4199 0,06679 0,06704 0,5005
0,65 0,01826 0,03745 0,005948 0,3793 0,05857 0,05878 0,4876
0,7 0,01617 0,03396 0,005128 0,3446 0,05112 0,05129 0,4763
0,75 0,01448 0,03103 0,004467 0,3149 0,04419 0,04434 0,4665
0,8 0,01309 0,02857 0,003926 0,2896 0,03759 0,03771 0,4582
0,85 0,01197 0,0265 0,003478 0,2685 0,03107 0,03116 0,4517
0,9 0,01109 0,02478 0,003102 0,2514 0,02429 0,02435 0,4474
0,95 0,01051 0,02347 0,002784 0,24 0,0165 0,01653 0,4476