In this review much of the current knowledge about the physics of anomalous
cosmic rays is surveyed. These energetic particles are, most probably, acc
elerated at the so-called heliospheric shock which terminates the supersoni
c solar wind expansion. After a presentation of the general scenario embrac
ing a description of the heliosphere. the basic paradigm explaining the exi
stence of anomalous cosmic rays and the relevant observations, the main pro
blems connected to the physics of this particular cosmic-ray component are
identified and discussed in detail. To this end, the characteristics of the
progenitor as well as descendant particle populations, i.e. interstellar n
eutral atoms. pick-up ions, and energetic neutral atoms. and those of galac
tic cosmic rays are described from an observational as well as a theoretica
l perspective, as far as they are related to heliospheric research. The rel
evance of heliospheric physics is pointed out as a vital link between basic
(plasma) physics and (extra-heliospheric) astrophysics as well as a test b
ed for astrophysical concepts.