Quasi-linear acceleration and heating rates are derived for drifting bi-Maxwellian distribution functions in a general nonrelativistic case for arbitrary wave vectors, propagation angles, and growth/damping rates. The heating rates in a proton-electron plasma due to ion-cyclotron/kinetic Alfvén and mirror waves for a wide range of wavelengths, directions of propagation, and growth or damping rates are explicitly computed.

1.
T. H.
Stix
,
Waves in Plasmas
(
AIP
,
New York
,
1992
).
2.
A. A.
Vedenov
,
E. P.
Velikhov
, and
R. Z.
Sagdeev
,
Nucl. Fusion
1
,
82
(
1961
).
3.
W. E.
Drummond
and
D.
Pines
,
Nucl. Fusion Suppl.
3
,
1049
(
1962
).
4.
C. F.
Kennel
and
F.
Engelmann
,
Phys. Fluids
9
,
2377
(
1966
).
5.
S. P.
Gary
and
R. L.
Tokar
,
J. Geophys. Res.
90
,
65
, doi: (
1985
).
6.
P.
Hellinger
and
P. M.
Trávníček
,
J. Geophys. Res.
116
,
A11101
, doi: (
2011
).
7.
V. D.
Shapiro
and
V. I.
Shevchenko
,
Sov. Phys. JETP, Engl. Transl.
18
,
1109
(
1964
).
8.
R. C.
Davidson
,
D. A.
Hammer
,
I.
Haber
, and
C. E.
Wagner
,
Phys. Fluids
15
,
317
(
1972
).
9.
R. C.
Davidson
and
J. M.
Ogden
,
Phys. Fluids
18
,
1045
(
1975
).
10.
P. H.
Yoon
,
Phys. Fluids B
4
,
3627
(
1992
).
11.
A.
Barnes
,
Phys. Fluids
11
,
2644
(
1968
).
12.
E.
Marsch
and
C.-Y.
Tu
,
J. Geophys. Res.
106
,
8357
, doi: (
2001
).
13.
P.
Hellinger
and
P. M.
Trávníček
,
Phys. Plasmas
19
,
062307
(
2012
).
14.
P. H.
Yoon
and
J.
Seough
,
J. Geophys. Res.
117
,
A08102
, doi: (
2012
).
15.
M. L.
Goldstein
,
H. K.
Wong
, and
A. F.
Viñas
,
J. Geophys. Res.
90
,
302
, doi: (
1985
).
16.
P.
Hunana
,
M. L.
Goldstein
,
T.
Passot
,
P. L.
Sulem
,
D.
Laveder
, and
G. P.
Zank
,
Astrophys. J.
766
,
93
(
2013
).
17.
S. P.
Gary
,
Theory of Space Plasma Microinstabilities
(
Cambridge Univ. Press
,
New York
,
1993
).
18.
A.
Hasegawa
,
Phys. Fluids
12
,
2642
(
1969
).
19.
P.
Hellinger
,
Phys. Plasmas
14
,
082105
(
2007
).
20.
P.
Hellinger
,
E. A.
Kuznetsov
,
T.
Passot
,
P. L.
Sulem
, and
P. M.
Trávníček
,
Geophys. Res. Lett.
36
,
L06103
, doi: (
2009
).
21.
P.
Hellinger
,
P.
Trávníček
, and
J. D.
Menietti
,
Geophys. Res. Lett.
31
,
L10806
, doi: (
2004
).
22.
E.
Quataert
,
Astrophys. J.
500
,
978
(
1998
).
23.
P.
Hellinger
,
P. M.
Trávníček
,
Š.
Štverák
,
L.
Matteini
, and
M.
Velli
,
J. Geophys. Res.
118
,
1351
, doi: (
2013
).
24.
C. B.
Wang
,
C. S.
Wu
, and
P. H.
Yoon
,
Phys. Rev. Lett.
96
,
125001
(
2006
).
25.
B. D. G.
Chandran
,
B.
Li
,
B. N.
Rogers
,
E.
Quataert
, and
K.
Germaschewski
,
Astrophys. J.
720
,
503
(
2010
).
26.
Y.
Nariyuki
,
T.
Hada
, and
K.
Tsubouchi
,
Phys. Plasmas
17
,
072301
(
2010
).
27.
C. S.
Wu
and
P. H.
Yoon
,
Phys. Rev. Lett.
99
,
075001
(
2007
).
28.
S.
Bourouaine
,
E.
Marsch
, and
C.
Vocks
,
Astrophys. J. Lett.
684
,
L119
(
2008
).
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