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Activity-induced phase transition and coarsening dynamics in dry apolar active nematics (2405.11642v3)

Published 19 May 2024 in cond-mat.soft, cond-mat.stat-mech, and physics.bio-ph

Abstract: Using the Lebwohl-Lasher interaction for reciprocal local alignment, we present a comprehensive phase diagram for a dry, apolar, active nematic system using its stochastic \new{off-lattice} dynamics. \new{The nematic-isotropic transition in this system is first-order and occurs alongside a fluctuation-dominated phase separation.} Our phase diagram identifies three distinct regions based on activity and orientational noise relative to alignment strength: a homogeneous isotropic phase, a nematic phase with giant density fluctuations, and a coexistence region. Using mean-field analysis and hydrodynamic theory, we demonstrate that reciprocal interactions lead to a density fluctuation-induced first-order transition and derive a phase boundary consistent with numerical results. Quenching from the isotropic to nematic phase reveals coarsening dynamics where nematic ordering precedes particle clustering. Both the nematic and density fields exhibit similar scaling behaviors, exhibiting dynamic exponents $z_S \approx 2.5$ and $z_\rho \approx 2.34$, consistently falling within the range of 2 and 3.

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References (46)
  1. Hydrodynamic fluctuations and instabilities in ordered suspensions of self-propelled particles. Phys. Rev. Lett., 89(5):058101, 2002.
  2. Active nematics on a substrate: Giant number fluctuations and long-time tails. Europhysics Letters, 62(2):196, apr 2003.
  3. Sriram Ramaswamy. The Mechanics and Statistics of Active Matter. Annu. Rev. Condens. Matter Phys., 1(1):323–345, aug 2010.
  4. Hydrodynamics of soft active matter. Rev. Mod. Phys., 85(3):1143–1189, jul 2013.
  5. Active behavior of the Cytoskeleton. Phys. Rep., 449(1-3):3–28, sep 2007.
  6. Active gel physics. Nat. Phys., 11(2):111–117, feb 2015.
  7. Active Particles in Complex and Crowded Environments. Rev. Mod. Phys., 88(4):045006, nov 2016.
  8. Deterministic endless collective evolvement in active nematics. preprint arXiv:1011.5408, 2010.
  9. Instabilities and chaos in a kinetic equation for active nematics. New J. Phys., 16(3):035003, mar 2014.
  10. Large-scale chaos and fluctuations in active nematics. Physical review letters, 113(3):038302, 2014.
  11. Novel type of phase transition in a system of self-driven particles. Physical Review Letters, 75(6):1226, 1995.
  12. Onset of Collective and Cohesive Motion. Phys. Rev. Lett., 92(2):025702, jan 2004.
  13. Modeling collective motion: Variations on the Vicsek model. Eur. Phys. J. B, 64(3-4):451, 2008.
  14. Long-range Order in a 2d dynamic xy model: how birds fly together. Phys. Rev. Lett., 75(23):4326–4329, 1995.
  15. Nonequilibrium clustering of self-propelled rods. Phys. Rev. E, 74(3):030904, sep 2006.
  16. Large-scale collective properties of self-propelled rods. Physical review letters, 104(18):184502, 2010.
  17. Mesoscopic theory for fluctuating active nematics. New J. Phys., 15(8):085032, aug 2013.
  18. Vortices in vibrated granular rods. Phys. Rev. E, 67:031303, Mar 2003.
  19. Long-Lived Giant Number Fluctuations. Science (80-. )., 317(July):105–108, 2007.
  20. Revisiting the emergence of order in active matter. Soft Matter, 17(11):3113–3120, 2021.
  21. Simulating dynamical features of escape panic. Nature, 407(6803):487–490, sep 2000.
  22. Scalar Active Mixtures: The Nonreciprocal Cahn-Hilliard Model. Phys. Rev. X, 10(4):41009, 2020.
  23. Statistical mechanics where Newton’s third law is broken. Phys. Rev. X, 5(1):011035, 2015.
  24. Non-reciprocal phase transitions. Nature, 592(7854):363–369, apr 2021.
  25. Long-range Order and Directional Defect Propagation in the Nonreciprocal XY Model with Vision Cone Interactions. Phys. Rev. Lett., 130(19):198301, 2022.
  26. How reciprocity impacts ordering and phase separation in active nematics? Soft Matter, 20(i):788–795, 2024.
  27. R. Aditi Simha and Sriram Ramaswamy. Hydrodynamic fluctuations and instabilities in ordered suspensions of self-propelled particles. Phys. Rev. Lett., 89:058101, Jul 2002.
  28. Active Nematics Are Intrinsically Phase Separated. Phys. Rev. Lett., 97(9):090602, aug 2006.
  29. Simple model for active nematics: Quasi-long-range order and giant fluctuations. Physical review letters, 96(18):180602, 2006.
  30. Order-disorder transition in active nematic: A lattice model study. Sci. Rep., 7(1):7080, aug 2017.
  31. Collective Motion and Nonequilibrium Cluster Formation in Colonies of Gliding Bacteria. Phys. Rev. Lett., 108(9):098102, feb 2012.
  32. Migrating Cells: Living Liquid Crystals. Mol. Cryst. Liq. Cryst. Sci. Technol. Sect. A. Mol. Cryst. Liq. Cryst., 260(1):565–574, feb 1995.
  33. Nematic liquid crystals formed by living amoeboid cells. The European Physical Journal B-Condensed Matter and Complex Systems, 11:187–192, 1999.
  34. Active nematics across scales from cytoskeleton organization to tissue morphogenesis. Curr. Opin. Genet. Dev., 73:101897, apr 2022.
  35. Periodic reversal of direction allows Myxobacteria to swarm. Proc. Natl. Acad. Sci., 106(4):1222–1227, jan 2009.
  36. A Bacterial Swimmer with Two Alternating Speeds of Propagation. Biophys. J., 105(8):1915–1924, oct 2013.
  37. Pattern-formation mechanisms in motility mutants of Myxococcus xanthus. Interface Focus, 2(6):774–785, dec 2012.
  38. Bacterial tracking of motile algae. FEMS Microbiol. Ecol., 44(1):79–87, may 2003.
  39. Reversal of Flagellar Rotation in Monotrichous and Peritrichous Bacteria: Generation of Changes in Direction. J. Bacteriol., 119(2):640–642, aug 1974.
  40. P. A. Lebwohl and G. Lasher. Nematic-liquid-crystal order—a Monte Carlo calculation. Phys. Rev. A, 6:426–429, Jul 1972.
  41. Aspects of the density field in an active nematic. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 372(2029):20130364, 2014.
  42. Particles Sliding on a Fluctuating Surface: Phase Separation and Power Laws. Phys. Rev. Lett., 85(8):1602–1605, aug 2000.
  43. Principles of Condensed Matter Physics. Cambridge University Press, Cambridge, jun 1995.
  44. Crossover near fluctuation-induced first-order phase transitions in superconductors. Phys. Rev. B, 17(11):4274–4286, jun 1978.
  45. First-Order Phase Transitions in Superconductors and Smectic-A Liquid Crystals. Phys. Rev. Lett., 32(6):292–295, feb 1974.
  46. Wei-Lin Tu. Renormalized Mean Field Theory, pages 21–31. Springer Singapore, Singapore, 2019.

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