To study the role of torque in motility-induced phase separation (MIPS), we simulate a system of self-propelled particles whose shape varies smoothly from isotropic (disks/spheres) to weakly elongated (rods). We construct the phase diagrams of 2D active disks, 3D active spheres, and 2D/3D active rods of aspect ratio l/σ = 2. A stability analysis of the homogeneous isotropic phase allows us to predict the onset of MIPS based on the effective swimming speed and rotational diffusion of the particles. Both methods find suppression of MIPS as the particle shape is elongated. We propose a suppression mechanism based on the duration of collisions and argue that this mechanism can explain both the suppression of MIPS found here for rodlike particles and the enhancement of MIPS found for particles with Vicsek interactions.

1.
I.
Theurkauff
,
C.
Cottin-Bizonne
,
J.
Palacci
,
C.
Ybert
, and
L.
Bocquet
,
Phys. Rev. Lett.
108
,
268303
(
2012
); e-print arXiv:1202.6264.
2.
J.
Palacci
,
S.
Sacanna
,
A. P.
Steinberg
,
D. J.
Pine
, and
P. M.
Chaikin
,
Science
339
,
936
(
2013
).
3.
I.
Buttinoni
,
J.
Bialké
,
F.
Kümmel
,
H.
Löwen
,
C.
Bechinger
, and
T.
Speck
,
Phys. Rev. Lett.
110
,
238301
(
2013
); e-print arXiv:1305.4185.
4.
F.
Ginot
,
I.
Theurkauff
,
F.
Detcheverry
,
C.
Ybert
, and
C.
Cottin-Bizonne
,
Nat. Commun.
9
,
696
(
2018
).
5.
A. P.
Solon
,
J.
Stenhammar
,
R.
Wittkowski
,
M.
Kardar
,
Y.
Kafri
,
M. E.
Cates
, and
J.
Tailleur
,
Phys. Rev. Lett.
114
,
198301
(
2015
); e-print arXiv:1412.5475.
6.
A.
Patch
,
D.
Yllanes
, and
M. C.
Marchetti
,
Phys. Rev. E
95
,
012601
(
2017
); e-print arXiv:1610.01139.
7.
Y.
Fily
,
S.
Henkes
, and
M. C.
Marchetti
,
Soft Matter
10
,
2132
(
2014
); e-print arXiv:1309.3714.
8.
D.
Levis
,
J.
Codina
, and
I.
Pagonabarraga
,
Soft Matter
13
,
8113
(
2017
); e-print arXiv:1703.02412.
9.
M. E.
Cates
and
J.
Tailleur
,
Annu. Rev. Condens. Matter Phys.
6
,
219
(
2015
); e-print arXiv:1507.05135.
10.
Y.
Fily
and
M. C.
Marchetti
,
Phys. Rev. Lett.
108
,
235702
(
2012
); e-print arXiv:1201.4847v2.
11.
G. S.
Redner
,
M. F.
Hagan
, and
A.
Baskaran
,
Phys. Rev. Lett.
110
,
055701
(
2013
); e-print arXiv:1207.1737.
12.
Y.
Fily
,
A.
Baskaran
, and
M. F.
Hagan
,
Soft Matter
10
,
5609
(
2014
); e-print arXiv:1402.5583v1.
13.
M. C.
Marchetti
,
Y.
Fily
,
S.
Henkes
,
A.
Patch
, and
D.
Yllanes
,
Curr. Opin. Colloid Interface Sci.
21
,
34
(
2016
); e-print arXiv:1510.00425.
14.
J.
Tailleur
and
M. E.
Cates
,
Phys. Rev. Lett.
100
,
218103
(
2008
); e-print arXiv:0803.1069.
15.
G. S.
Redner
,
C. G.
Wagner
,
A.
Baskaran
, and
M. F.
Hagan
,
Phys. Rev. Lett.
117
,
148002
(
2016
); e-print arXiv:1603.01362.
16.
J.
Bialké
,
J. T.
Siebert
,
H.
Löwen
, and
T.
Speck
,
Phys. Rev. Lett.
115
,
098301
(
2015
); e-print arXiv:1412.4601.
17.
J.
Barré
,
R.
Chétrite
,
M.
Muratori
, and
F.
Peruani
,
J. Stat. Phys.
158
,
589
(
2015
); e-print arXiv:1403.2364.
18.
E.
Sese-Sansa
,
I.
Pagonabarraga
, and
D.
Levis
,
Europhys. Lett.
124
,
30004
(
2018
); e-print arXiv:1807.07497.
19.
F.
Peruani
,
A.
Deutsch
, and
M.
Bär
,
Phys. Rev. E
74
,
030904
(
2006
); e-print arXiv:0604490.
20.
F.
Ginelli
,
F.
Peruani
,
M.
Bär
, and
H.
Chaté
,
Phys. Rev. Lett.
104
,
184502
(
2010
); e-print arXiv:0911.1924.
21.
F.
Peruani
,
Eur. Phys. J. Spec. Top.
225
,
2301
(
2016
); e-print arXiv:1512.07567.
22.
S.
Weitz
,
A.
Deutsch
, and
F.
Peruani
,
Phys. Rev. E
92
,
012322
(
2015
); e-print arXiv:1507.00948.
23.
C.
Abaurrea Velasco
,
M.
Abkenar
,
G.
Gompper
, and
T.
Auth
,
Phys. Rev. E
98
,
022605
(
2018
); e-print arXiv:1807.07374.
24.
C.
Vega
and
S.
Lago
,
Comput. Chem.
18
,
55
(
1994
).
25.
B.
Bet
,
G.
Boosten
,
M.
Dijkstra
, and
R.
van Roij
,
J. Chem. Phys.
146
,
084904
(
2017
); e-print arXiv:1603.02629.
27.
J.
Stenhammar
,
D.
Marenduzzo
,
R. J.
Allen
, and
M. E.
Cates
,
Soft Matter
10
,
1489
(
2014
); e-print arXiv:1310.6290.
28.
J.
Bialké
,
H.
Löwen
, and
T.
Speck
,
Europhys. Lett.
103
,
30008
(
2013
); e-print arXiv:1307.4908.
29.
A.
Suma
,
G.
Gonnella
,
D.
Marenduzzo
, and
E.
Orlandini
,
Europhys. Lett.
108
,
56004
(
2014
).
30.
T.
Speck
,
Eur. Phys. J. Spec. Top.
225
,
2287
(
2016
).
31.
I. R.
Bruss
and
S. C.
Glotzer
,
Phys. Rev. E
97
,
042609
(
2018
); e-print arXiv:1712.01983.
32.
V.
Prymidis
,
S.
Samin
, and
L.
Filion
,
Soft Matter
12
,
4309
(
2016
).
33.
G. S.
Redner
,
A.
Baskaran
, and
M. F.
Hagan
,
Phys. Rev. E
88
,
012305
(
2013
); e-print arXiv:1303.3195.
34.
M. E.
Cates
and
J.
Tailleur
,
Europhys. Lett.
101
,
20010
(
2013
); e-print arXiv:1206.1805.
35.
T.
Speck
,
A. M.
Menzel
,
J.
Bialké
, and
H.
Löwen
,
J. Chem. Phys.
142
,
224109
(
2015
); e-print arXiv:1503.08412.
36.
M. A.
Bates
and
D.
Frenkel
,
J. Chem. Phys.
112
,
10034
(
2000
).
37.
P.
Digregorio
,
D.
Levis
,
A.
Suma
,
L. F.
Cugliandolo
,
G.
Gonnella
, and
I.
Pagonabarraga
,
Phys. Rev. Lett.
121
,
098003
(
2018
); e-print arXiv:1805.12484.
38.
T.
Speck
,
J.
Bialké
,
A. M.
Menzel
, and
H.
Löwen
,
Phys. Rev. Lett.
112
,
218304
(
2014
); e-print arXiv:1312.7242.
39.
S. C.
Kapfer
and
W.
Krauth
,
Phys. Rev. Lett.
114
,
035702
(
2015
).
40.
X.-q.
Shi
and
H.
Chaté
, preprint arXiv:1807.00294 (
2018
).
41.
J.
Stenhammar
,
A.
Tiribocchi
,
R. J.
Allen
,
D.
Marenduzzo
, and
M. E.
Cates
,
Phys. Rev. Lett.
111
,
145702
(
2013
); e-print arXiv:1307.4373v1.
42.
A.
Baskaran
and
M.
Cristina Marchetti
,
J. Stat. Mech.: Theory Exp.
2010
,
P04019
; e-print arXiv:1002.3831.
43.
E.
Bertin
,
A.
Baskaran
,
H.
Chaté
, and
M. C.
Marchetti
,
Phys. Rev. E
92
,
042141
(
2015
); e-print arXiv:1507.07812.
44.
S. E.
Ilse
,
C.
Holm
, and
J.
de Graaf
,
J. Chem. Phys.
145
,
134904
(
2016
).
45.
L. F.
Cugliandolo
,
P.
Digregorio
,
G.
Gonnella
, and
A.
Suma
,
Phys. Rev. Lett.
119
,
268002
(
2017
); e-print arXiv:1611.06921.
46.
A.
Zöttl
and
H.
Stark
,
Phys. Rev. Lett.
112
,
118101
(
2014
); e-print arXiv:1309.4352.
47.
R.
Matas-Navarro
,
R.
Golestanian
,
T. B.
Liverpool
, and
S. M.
Fielding
,
Phys. Rev. E
90
,
032304
(
2014
); e-print arXiv:1210.5464.
48.
J.
Blaschke
,
M.
Maurer
,
K.
Menon
,
A.
Zöttl
, and
H.
Stark
,
Soft Matter
12
,
9821
(
2016
); e-print arXiv:1609.02478.
49.
N.
Oyama
,
J. J.
Molina
, and
R.
Yamamoto
,
Phys. Rev. E
93
,
043114
(
2016
); e-print arXiv:1504.06914.
50.
N.
Oyama
,
J. J.
Molina
, and
R.
Yamamoto
,
Eur. Phys. J. E
40
,
95
(
2017
).
51.
A. P.
Solon
,
Y.
Fily
,
A.
Baskaran
,
M. E.
Cates
,
Y.
Kafri
,
M.
Kardar
, and
J.
Tailleur
,
Nat. Phys.
11
,
673
(
2015
); e-print arXiv:1412.3952v2.

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