Smooth or shock: Universality in closed inhomogeneous driven single file motions
Tirthankar Banerjee, Abhik Basu
Abstract
This work shows how to generalize the concept of universality beyond universal power laws in one-dimensional systems with unidirectional motion with a fixed number of particles and a limited carrying capacity. The authors show that the form of the dependence of the particle current on the particle filling fraction is independent of the local, position-dependent speed.
Topics & Concepts
Universality (dynamical systems)Classification of discontinuitiesPhysicsSteady state (chemistry)PropulsionPhase diagramClassical mechanicsStatistical physicsTopology (electrical circuits)MechanicsMathematicsMathematical analysisPhase (matter)Quantum mechanicsThermodynamicsChemistryCombinatoricsPhysical chemistryMicro and Nano RoboticsStochastic processes and statistical mechanicsDiffusion and Search Dynamics