Active matter ratchets with an external drift

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 88, Issue 6, 2013, Pages

  Reichhardt, C ^a   Reichhardt, C J Olson ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DC DRIVES; DRIFT FORCE; PARTICLE DENSITIES; RATCHET EFFECTS; RUN LENGTH; STERIC INTERACTIONS; TRANSVERSE RECTIFICATION; TWO-DIMENSIONAL ARRAYS;

CONDENSED MATTER PHYSICS;

PHYSICS;

EID: 84891674100     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.88.062310     Document Type: Article

References (74)

1. P. Reimann, Phys. Rep. 361, 57 (2002). 0370-1573 PRPLCM 10.1016/S0370-1573(01)00081-3
2. R. D. Astumian and P. Hänggi, Phys. Today 55 (11), 33 (2002). 0031-9228 PHTOAD 10.1063/1.1535005
3. P. Hänggi and F. Marchesoni, Rev. Mod. Phys. 81, 387 (2009). 0034-6861 RMPHAT 10.1103/RevModPhys.81.387
4. J. Rousselet, L. Salome, A. Ajdari, and J. Prost, Nature (London) 370, 446 (1994). 0028-0836 NATUAS 10.1038/370446a0 (Pubitemid 24263545)
5. K. Xiao, Y. Roichman, and D. G. Grier, Phys. Rev. E 84, 011131 (2011). 1539-3755 PLEEE8 10.1103/PhysRevE.84.011131
6. C. S. Lee, B. Jankó, I. Derényi, and A. L. Barabási, Nature (London) 400, 337 (1999). 0028-0836 NATUAS 10.1038/22485 (Pubitemid 29344192)
7. a C. C. de Souza Silva, J. Van de Vondel, B. Y. Zhu, M. Morelle, and V. V. Moshchalkov, Phys. Rev. B 73, 014507 (2006) 1098-0121 PRBMDO 10.1103/PhysRevB.73.014507; 7b W. Gillijns, A. V. Silhanek, V. V. Moshchalkov, C. J. Olson Reichhardt, and C. Reichhardt, Phys. Rev. Lett. 99, 247002 (2007) 0031-9007 PRLTAO 10.1103/PhysRevLett.99.247002; 7c Q. Lu, C. J. Olson Reichhardt, and C. Reichhardt, Phys. Rev. B 75, 054502 (2007) 1098-0121 PRBMDO 10.1103/PhysRevB.75.054502; 7d L. Dinis, D. Perez de Lara, E. M. Gonzalez, J. V. Anguita, J. M. R. Parrondo, and J. L. Vicent, New J. Phys. 11, 073046 (2009). 1367-2630 NJOPFM 10.1088/1367-2630/11/7/073046
8. B. L. T. Plourde, IEEE Trans. Appl. Supercond. 19, 3698 (2009). 1051-8223 ITASE9 10.1109/TASC.2009.2028873
9. Z. Farkas, P. Tegzes, A. Vukics, and T. Vicsek, Phys. Rev. E 60, 7022 (1999) 1063-651X 10.1103/PhysRevE.60.7022; 9b J. F. Wambaugh, C. Reichhardt, and C. J. Olson, Phys. Rev. E 65, 031308 (2002) 1063-651X 10.1103/PhysRevE.65. 031308; 9c Z. Farkas, F. Szalai, D. E. Wolf, and T. Vicsek, Phys. Rev. E 65, 022301 (2002). 1063-651X 10.1103/PhysRevE.65.022301
10. S.-H. Lee and D. G. Grier, Phys. Rev. E 71, 060102 (2005). 1539-3755 PLEEE8 10.1103/PhysRevE.71.060102 (Pubitemid 41663717)
11. A. Libál, C. Reichhardt, B. Jankó, and C. J. Olson Reichhardt, Phys. Rev. Lett. 96, 188301 (2006). 0031-9007 PRLTAO 10.1103/PhysRevLett.96.188301
12. a C. Reichhardt, C. J. Olson, and M. B. Hastings, Phys. Rev. Lett. 89, 024101 (2002) 0031-9007 PRLTAO 10.1103/PhysRevLett.89.024101; 12b C. Reichhardt and C. J. Olson Reichhardt, Phys. Rev. E 68, 046102 (2003). 1063-651X 10.1103/PhysRevE.68.046102
13. R. Guantes and S. Miret-Artés, Phys. Rev. E 67, 046212 (2003). 1063-651X 10.1103/PhysRevE.67.046212
14. P. Tierno, T. H. Johansen, and T. M. Fischer, Phys. Rev. Lett. 99, 038303 (2007). 0031-9007 PRLTAO 10.1103/PhysRevLett.99.038303 (Pubitemid 47168650)
15. D. Speer, R. Eichhorn, and P. Reimann, Phys. Rev. Lett. 102, 124101 (2009). 0031-9007 PRLTAO 10.1103/PhysRevLett.102.124101
16. B. ten Hagen, S. van Teeffelwn, and H. Löwen, J. Phys.: Condens. Matter 23, 194119 (2011). 0953-8984 JCOMEL 10.1088/0953-8984/23/19/194119
17. P. Romanczuk, M. Bär, W. Ebeling, B. Lindner, and L. Schimansky-Geier, Eur. Phys. J. Spec. Top. 202, 1 (2012). 1951-6355 10.1140/epjst/e2012-01529-y
18. S. Ramaswamy, Annu. Rev. Condens. Matter Phys. 1, 323 (2010). 1947-5454 10.1146/annurev-conmatphys-070909-104101
19. M. C. Marchetti, J. F. Joanny, S. Ramaswamy, T. B. Liverpool, J. Prost, M. Rao, and R. A. Simha, Rev. Mod. Phys. 85, 1143 (2013). 0034-6861 RMPHAT 10.1103/RevModPhys.85.1143
20. H. C. Berg, Random Walks in Biology (Princeton University Press, Princeton, 1983).
21. P. Galajda, J. Keymer, P. Chaikin, and R. Austin, J. Bacteriol. 189, 8704 (2007). 0021-9193 JOBAAY 10.1128/JB.01033-07 (Pubitemid 350210041)
22. D. Bray, Cell Movements: From Molecules to Motility (Garland, New York, 1992).
23. G. Mahmud, C. J. Campbell, K. J. M. Bishop, Y. A. Komarova, O. Chaga, S. Soh, S. Huda, K. Kandere-Grzybowska, and B. A. Grzybowski, Nat. Phys. 5, 606 (2009). 1745-2473 10.1038/nphys1306
24. a T. Vicsek, A. Czirók, E. Ben-Jacob, I. Cohen, and O. Shochet, Phys. Rev. Lett. 75, 1226 (1995) 0031-9007 PRLTAO 10.1103/PhysRevLett.75.1226; 24b G. Grégoire and H. Chaté, Phys. Rev. Lett. 92, 025702 (2004). 0031-9007 PRLTAO 10.1103/PhysRevLett.92.025702
25. R. Dreyfus, J. Baudry, M. L. Roper, M. Fermigier, H. A. Stone, and J. Bibette, Nature (London) 437, 862 (2005). 0028-0836 NATUAS 10.1038/nature04090 (Pubitemid 41486758)
26. S. J. Ebbens and J. R. Howse, Soft Matter 6, 726 (2011). 1744-683X 10.1039/b918598d
27. G. Lumay, N. Obara, F. Weyer, and N. Vandewalle, Soft Matter 9, 2420 (2013). 1744-683X 10.1039/c2sm27598h
28. J. R. Howse, R. A. L. Jones, A. J. Ryan, T. Gough, R. Vafabakhsh, and R. Golestanian, Phys. Rev. Lett. 99, 048102 (2007). 0031-9007 PRLTAO 10.1103/PhysRevLett.99.048102 (Pubitemid 47173763)
29. H.-R. Jiang, N. Yoshinaga, and M. Sano, Phys. Rev. Lett. 105, 268302 (2010). 0031-9007 PRLTAO 10.1103/PhysRevLett.105.268302
30. G. Volpe, I. Buttinoni, D. Vogt, H. Kümmerer, and C. Bechinger, Soft Matter 7, 8810 (2011). 1744-683X 10.1039/c1sm05960b
31. I. Buttinoni, G. Volpe, F. Kümmel, G. Volpe, and C. Bechinger, J. Phys.: Condens. Matter 24, 284129 (2012). 0953-8984 JCOMEL 10.1088/0953-8984/24/ 28/284129
32. a J. Palacci, S. Sacanna, A. P. Steinberg, D. J. Pine, and P. M. Chaikin, Science 339, 936 (2013) 0036-8075 SCIEAS 10.1126/science.1230020; 32b I. Buttinoni, J. Bialké, F. Kümmel, H. Löwen, C. Bechinger, and T. Speck, Phys. Rev. Lett. 110, 238301 (2013). 0031-9007 PRLTAO 10.1103/PhysRevLett.110.238301
33. P. Galajda, J. Keymer, J. Dalland, S. Park, S. Kou, and R. Austin, J. Mod. Opt. 55, 3413 (2008). 0950-0340 JMOPEW 10.1080/09500340802495826
34. M. B. Wan, C. J. Olson Reichhardt, Z. Nussinov, and C. Reichhardt, Phys. Rev. Lett. 101, 018102 (2008). 0031-9007 PRLTAO 10.1103/PhysRevLett.101.018102
35. J. Tailleur and M. E. Cates, Europhys. Lett. 86, 60002 (2009). 0295-5075 EULEEJ 10.1209/0295-5075/86/60002
36. M. E. Cates, Rep. Prog. Phys. 75, 042601 (2012). 0034-4885 RPPHAG 10.1088/0034-4885/75/4/042601
37. C. J. Olson Reichhardt, J. Drocco, T. Mai, M. B. Wan, and C. Reichhardt, Optical Trapping and Optical Micromanipulation VIII, SPIE Proc. Vol. 8097 (SPIE, Bellingham, WA, 2011), p. 80970A.
38. V. Kantsler, J. Dunkel, M. Polin, and R. E. Goldstein, Proc. Natl. Acad. Sci. USA 110, 1187 (2013). 0027-8424 PNASA6 10.1073/pnas.1210548110
39. I. Berdakin, Y. Jeyaram, V. V. Moshchalkov, L. Venken, S. Dierckx, S. J. Vanderleyden, A. V. Silhanek, C. A. Condat, and V. I. Marconi, Phys. Rev. E 87, 052702 (2013). 1539-3755 PLEEE8 10.1103/PhysRevE.87.052702
40. G. Lambert, D. Liao, and R. H. Austin, Phys. Rev. Lett. 104, 168102 (2010). 0031-9007 PRLTAO 10.1103/PhysRevLett.104.168102
41. L. Angelani, A. Costanzo, and R. Di Leonardo, Europhys. Lett. 96, 68002 (2011). 0295-5075 EULEEJ 10.1209/0295-5075/96/68002
42. J. A. Drocco, C. J. Olson Reichhardt, and C. Reichhardt, Phys. Rev. E 85, 056102 (2012). 1539-3755 PLEEE8 10.1103/PhysRevE.85.056102
43. M. B. Wan and Y. S. Jho, Soft Matter 9, 3255 (2013). 1744-683X 10.1039/c3sm27851d
44. A. Pototsky, A. M. Hahn, and H. Stark, Phys. Rev. E 87, 042124 (2013). 1539-3755 PLEEE8 10.1103/PhysRevE.87.042124
45. M. Mijalkov and G. Volpe, Soft Matter 9, 6376 (2013). 1744-683X 10.1039/c3sm27923e
46. L. Angelani, R. Di Leonardo, and G. Ruocco, Phys. Rev. Lett. 102, 048104 (2009). 0031-9007 PRLTAO 10.1103/PhysRevLett.102.048104
47. R. Di Leonardo, L. Angelani, D. Dell'Arciprete, G. Ruocco, V. Iebba, S. Schippa, M. P. Conte, F. Mecarini, F. De Angelis, and E. Di Fabrizio, Proc. Natl. Acad. Sci. USA 107, 9541 (2010) 0027-8424 PNASA6 10.1073/pnas.0910426107; 47b A. Sokolov, M. M. Apodaca, B. A. Grzyboski, and I. S. Aranson, Proc. Natl. Acad. Sci. USA 107, 969 (2010). 0027-8424 PNASA6 10.1073/pnas.0913015107
48. a A. Kaiser, H. H. Wensink, and H. Löwen, Phys. Rev. Lett. 108, 268307 (2012) 0031-9007 PRLTAO 10.1103/PhysRevLett.108.268307; 48b A. Kaiser, K. Popowa, H. H. Wensink, and H. Löwen, Phys. Rev. E 88, 022311 (2013). 1539-3755 PLEEE8 10.1103/PhysRevE.88.022311
49. T. A. J. Duke and R. H. Austin, Phys. Rev. Lett. 80, 1552 (1998). 0031-9007 PRLTAO 10.1103/PhysRevLett.80.1552
50. D. Ertas, Phys. Rev. Lett. 80, 1548 (1998). 0031-9007 PRLTAO 10.1103/PhysRevLett.80.1548
51. C. F. Chou, O. Bakajin, S. W. P. Turner, T. A. J. Duke, S. S. Chan, E. C. Cox, H. G. Craighead, and R. H. Austin, Proc. Natl. Acad. Sci. USA 96, 13762 (1999). 0027-8424 PNASA6 10.1073/pnas.96.24.13762
52. L. R. Huang, P. Silberzan, J. O. Tegenfeldt, E. C. Cox, J. C. Sturm, R. H. Austin, and H. G. Craighead, Phys. Rev. Lett. 89, 178301 (2002). 0031-9007 PRLTAO 10.1103/PhysRevLett.89.178301
53. L. R. Huang, E. C. Cox, R. H. Austin, and J. C. Sturm, Science 304, 987 (2004). 0036-8075 SCIEAS 10.1126/science.1094567 (Pubitemid 38638091)
54. K. Loutherback, J. Puchalla, R. H. Austin, and J. C. Sturm, Phys. Rev. Lett. 102, 045301 (2009). 0031-9007 PRLTAO 10.1103/PhysRevLett.102.045301
55. Z. Li and G. Drazer, Phys. Rev. Lett. 98, 050602 (2007). 0031-9007 PRLTAO 10.1103/PhysRevLett.98.050602 (Pubitemid 46204612)
56. R. Eichhorn, J. Regtmeier, D. Anselmetti, and P. Reimann, Soft Matter 6, 1858 (2010). 1744-683X 10.1039/b918716m
57. D. Reguera, A. Luque, P. S. Burada, G. Schmid, J. M. Rubí, and P. Hänggi, Phys. Rev. Lett. 108, 020604 (2012). 0031-9007 PRLTAO 10.1103/PhysRevLett.108.020604
58. L. Bogunovic, M. Fliedner, R. Eichhorn, S. Wegener, J. Regtmeier, D. Anselmetti, and P. Reimann, Phys. Rev. Lett. 109, 100603 (2012). 0031-9007 PRLTAO 10.1103/PhysRevLett.109.100603
59. a S. Henkes, Y. Fily, and M. C. Marchetti, Phys. Rev. E 84, 040301 (2011) 1539-3755 PLEEE8 10.1103/PhysRevE.84.040301; 59b F. D. C. Farrell, M. C. Marchetti, D. Marenduzzo, and J. Tailleur, Phys. Rev. Lett. 108, 248101 (2012). 0031-9007 PRLTAO 10.1103/PhysRevLett.108.248101
60. a L. Baraban, M. Tasinkevych, M. N. Popescu, S. Sanchez, S. Dietrich, and O. G. Schmidt, Soft Matter 8, 47 (2012) 1744-683X 10.1039/c1sm06512b; 60b S. Ebbens, M. H. Tu, J. R. Howse, and R. Golestanian, Phys. Rev. E 85, 020401 (2012) 1539-3755 PLEEE8 10.1103/PhysRevE.85.020401; 60c L. Baraban, D. Makarov, R. Streubel, I. Monch, D. Grimm, S. Sanchez, and O. G. Schmidt, ACS Nano 6, 3383 (2012) 1936-0851 10.1021/nn300413p; 60d T. Bickel, A. Majee, and A. Wurger, Phys. Rev. E 88, 012301 (2013) 1539-3755 PLEEE8 10.1103/PhysRevE.88.012301; 60e W. Yang, V. R. Misko, K. Nelissen, M. Kong, and F. M. Peeters, Soft Matter 8, 5175 (2012) 1744-683X 10.1039/c2sm07382j; 60f X. Zheng, B. ten Hagen, A. Kaiser, M. Wu, H. Cui, Z. Silber-Li, and H. Löwen, Phys. Rev. E 88, 032304 (2013). 1539-3755 PLEEE8 10.1103/PhysRevE.88.032304
61. P. K. Ghosh, V. R. Misko, F. Marchesoni, and F. Nori, Phys. Rev. Lett. 110, 268301 (2013). 0031-9007 PRLTAO 10.1103/PhysRevLett.110.268301
62. E. Lauga and T. R. Powers, Rep. Prog. Phys. 72, 096601 (2009). 0034-4885 RPPHAG 10.1088/0034-4885/72/9/096601
63. R. Ledesma-Aguilar and J. M. Yeomans, Phys. Rev. Lett. 111, 138101 (2013). 0031-9007 PRLTAO 10.1103/PhysRevLett.111.138101
64. R. Golestanian, J. M. Yeomans, and N. Uchida, Soft Matter 7, 3074 (2011). 1744-683X 10.1039/c0sm01121e
65. a L. H. Cisneros, J. O. Kessler, S. Ganguly, and R. E. Goldstein, Phys. Rev. E 83, 061907 (2011) 1539-3755 PLEEE8 10.1103/PhysRevE.83.061907; 65b H. H. Wensink, J. Dunkel, S. Heidenreich, K. Drescher, R. E. Goldstein, H. Löwen, and J. M. Yeomans, Proc. Natl. Acad. Sci. USA 109, 14308 (2012) 0027-8424 PNASA6 10.1073/pnas.1202032109; 65c A. Sokolov and I. S. Aranson, Phys. Rev. Lett. 109, 248109 (2012) 0031-9007 PRLTAO 10.1103/PhysRevLett.109.248109; 65d J. Dunkel, S. Heidenreich, K. Drescher, H. H. Wensink, M. Bär, and R. E. Goldstein, Phys. Rev. Lett. 110, 228102 (2013). 0031-9007 PRLTAO 10.1103/PhysRevLett.110.228102
66. Y. Fily and M. C. Marchetti, Phys. Rev. Lett. 108, 235702 (2012). 0031-9007 PRLTAO 10.1103/PhysRevLett.108.235702
67. E. R. Dufresne, T. M. Squires, M. P. Brenner, and D. G. Grier, Phys. Rev. Lett. 85, 3317 (2000). 0031-9007 PRLTAO 10.1103/PhysRevLett.85.3317
68. H. Diamant, B. Cui, B. Lin, and S. A. Rice, J. Phys.: Condens. Matter 17, S2787 (2005). 0953-8984 JCOMEL 10.1088/0953-8984/17/31/003 (Pubitemid 41067767)
69. B. Cui, H. Diamant, and B. Lin, Phys. Rev. Lett. 89, 188302 (2002). 0031-9007 PRLTAO 10.1103/PhysRevLett.89.188302
70. G. I. Menon and S. Ramaswamy, Phys. Rev. E 79, 061108 (2009). 1539-3755 PLEEE8 10.1103/PhysRevE.79.061108
71. A. Fortini and M. Schmidt, Phys. Rev. E 83, 041411 (2011). 1539-3755 PLEEE8 10.1103/PhysRevE.83.041411
72. K. Drescher, J. Dünkel, L. H. Cisneros, S. Ganguly, and R. E. Goldstein, Proc. Natl. Acad. Sci. USA 108, 10940 (2011). 0027-8424 PNASA6 10.1073/pnas.1019079108
73. a S. van Teeffelen and H. Löwen, Phys. Rev. E 78, 020101 (R) (2008) 1539-3755 PLEEE8 10.1103/PhysRevE.78.020101; 73b H. H. Wensink and H. Löwen, Phys. Rev. E 78, 031409 (2008) 1539-3755 PLEEE8 10.1103/PhysRevE.78. 031409; 73c G. S. Redner, A. Baskaran, and M. F. Hagan, Phys. Rev. E 88, 012305 (2013). 1539-3755 PLEEE8 10.1103/PhysRevE.88.012305
74. S. D. Ryan, A. Sokolov, L. Berlyand, and I. S. Aranson, New J. Phys. 15, 105021 (2013). 1367-2630 NJOPFM 10.1088/1367-2630/15/10/105021