Volume 121, Number 3, February 2018
|Number of page(s)||6|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||06 April 2018|
Ordering dynamics of self-propelled particles in an inhomogeneous medium
1 S. N. Bose National Centre for Basic Sciences - Kolkata 700106, India
2 Department of Physics, Indian Institute of Technology (BHU) - Varanasi 221005, India
3 School of Physical Sciences, Jawaharlal Nehru University - New Delhi 110067, India
Received: 1 August 2017
Accepted: 14 March 2018
Ordering dynamics of self-propelled particles in an inhomogeneous medium in two dimensions is studied. We write coarse-grained hydrodynamic equations of motion for density and polarisation fields in the presence of an external random disorder field, which is quenched in time. The strength of inhomogeneity is tuned from zero disorder (clean system) to large disorder. In the clean system, the polarisation field grows algebraically as . The density field does not show clean power-law growth; however, it follows approximately. In the inhomogeneous system, we find a disorder-dependent growth. For both the density and the polarisation, growth slows down with increasing strength of disorder. The polarisation shows a disorder-dependent power-law growth for intermediate times. At late times, there is a crossover to logarithmic growth , where φ is a disorder-independent exponent. Two-point correlation functions for the polarisation show dynamical scaling, but the density does not.
PACS: 75.60.Ch – Domain walls and domain structure / 05.90.+m – Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems (restricted to new topics in section 05) / 05.65.+b – Self-organized systems
© EPLA, 2018
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