A simple equation of state for hard disks on the hyperbolic plane is proposed. It yields the exact second virial coefficient and contains a pole at the highest possible packing. A comparison with another very recent theoretical proposal and simulation data is presented.

1.
For a very recent review of the properties of these systems, one may look at
Theory and Simulation of Hard-Sphere Fluids and Related Systems
, edited by
A.
Mulero
(
Springer
,
Berlin
,
2008
).
2.
A few illustrative papers are
H. L.
Frisch
and
J. K.
Percus
,
Phys. Rev. A
35
,
4696
(
1987
);
M.
Baus
and
J. L.
Colot
,
Phys. Rev. A
36
,
3912
(
1987
);
H. L.
Frisch
and
J. K.
Percus
,
Phys. Rev. E
60
,
2942
(
1999
);
G.
Parisi
and
F.
Slanina
,
Phys. Rev. E
62
,
6554
(
2000
);
A.
Santos
and
M.
López de Haro
,
Phys. Rev. E
72
,
010501
(R) (
2005
);
and
R.
Rohrmann
,
M.
Robles
,
M.
López de Haro
, and
A.
Santos
,
J. Chem. Phys.
129
,
014510
(
2008
), where many more references to work on hard-core systems in D dimensions may be found.
[PubMed]
3.
C. D.
Modes
and
R. D.
Kamien
,
Phys. Rev. Lett.
99
,
235701
(
2007
);
[PubMed]
C. D.
Modes
and
R. D.
Kamien
,
Phys. Rev. E
77
,
041125
(
2008
).
4.
F.
Sausset
and
G.
Tarjus
,
J. Phys. A
40
,
12873
(
2007
);
F.
Sausset
,
G.
Tarjus
, and
P.
Viot
, e-print arXiv:0805.2819.
5.
A.
Santos
,
M.
López de Haro
, and
S. B.
Yuste
,
J. Chem. Phys.
103
,
4622
(
1995
);
M.
López de Haro
,
A.
Santos
, and
S. B.
Yuste
,
Eur. J. Phys.
19
,
281
(
1998
).
6.
C.
Modes
and
R. D.
Kamien
, personal communication.
7.
J. J.
Erpenbeck
and
M.
Luban
,
Phys. Rev. A
32
,
2920
(
1985
).
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