Power-law behavior in the power spectrum induced by Brownian motion of a domain wall

Abstract

We show that Brownian motion of a one-dimensional domain wall in a large but finite system yields a ${\omega }^{-3/2}$ power spectrum. This is successfully applied to the totally asymmetric simple exclusion process (TASEP) with open boundaries. An excellent agreement between our theory and numerical results is obtained in a frequency range where the domain wall motion dominates and discreteness of the system is not effective.

4 pages, 4 figures

References in corpus (7)

• Traffic and Related Self-Driven Many-Particle Systems
• Statistical Physics of Vehicular Traffic and Some Related Systems
• Density waves of granular flow in a pipe using lattice gas automata
• 4/3-Law of Granular Particles Flowing through a Vertical Pipe
• Density waves and $1/f$ density fluctuations in granular flow
• Density Profile of the One-Dimensional Partially Asymmetric Simple Exclusion Process with Open Boundaries
• Universal behaviors in granular flows and traffic flows

Cited by in corpus (18)

• Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries
• Modeling Translation in Protein Synthesis with TASEP: A Tutorial and Recent Developments
• Exact Spectral Gaps of the Asymmetric Exclusion Process with Open Boundaries
• Competition between Multiple Totally Asymmetric Simple Exclusion Processes for a Finite Pool of Resources
• Slowest relaxation mode of the partially asymmetric exclusion process with open boundaries
• Feedback and Fluctuations in a Totally Asymmetric Simple Exclusion Process with Finite Resources
• Dynamic correlation functions and Boltzmann Langevin approach for driven one dimensional lattice gas
• Dynamics of an exclusion process with creation and annihilation
• Power Spectra of a Constrained Totally Asymmetric Simple Exclusion Process
• The effect of detachment and attachment to a kink motion in the asymmetric simple exclusion process
• Competition for finite resources
• Dynamics of fluctuation of the top location of a sandpile
• Characteristic power spectrum of the diffusive interface dynamics in the two-dimensional Ising Model
• Theory of ${\omega }^{-4/3}$ law of the power spectrum in dissipative flows
• Diffusion of interface and heat conduction in the three-dimensional Ising model
• Numerical Estimation of the Current Large Deviation Function in the Asymmetric Simple Exclusion Process with Open Boundary Conditions
• Power spectra of TASEPs with a localized slow site
• Complex Transport Phenomena in a Simple Lattice Gas System