Negative Resistance in Brownian Transport
arXiv:cond-mat/0105098 · doi:10.1103/PhysRevLett.76.1968
Abstract
We prove that negative incremental resistance cannot occur on 1D spaces like the circle or the line; we construct an explicit two-dimensional model on the cylinder, and its collapse into a branched 1D backbone. We derive an accurate numerical method for solving our 2D model, and discuss the relevance of the model to biological ion channels.
3 separate figures
Cited by in corpus (25)
- Brownian motion exhibiting absolute negative mobility
- DNA Spools under Tension
- Observation of negative absolute resistance in a Josephson junction
- Dynamic Response of Adhesion Complexes: Beyond the Single-Path Picture
- Rectification and diffusion of self-propelled particles in a two-dimensional corrugated channel
- Nonlinear response of inertial tracers in steady laminar flows: differential and absolute negative mobility
- Omnidirectional Transport in Fully Reconfigurable Two Dimensional Optical Ratchets
- Forcing inertial Brownian motors: efficiency and negative differential mobility
- Nonlinear response and emerging nonequilibrium micro-structures for biased diffusion in confined crowding environments
- Transport of active ellipsoidal particles in ratchet potentials
- Asymmetric exclusion processes with constrained dynamics
- Driven tracer with absolute negative mobility
- Absolute Transverse Mobility and Ratchet Effect on Periodic 2D Symmetric Substrates
- Nonlinear dynamics, rectification, and phase locking for particles on symmetrical two-dimensional periodic substrates with dc and circular ac drives
- Resonance-like phenomena of the mobility of a chain of nonlinear coupled oscillators in a two-dimensional periodic potential
- Disordering, Clustering, and Laning Transitions in Particle Systems with Dispersion in the Magnus Term
- Clogging and Transport of Driven Particles in Asymmetric Funnel Arrays
- Biased random walk on random networks in presence of stochastic resetting: Exact results
- Driven lattice glass as a ratchet and pawl machine
- Paradoxical non-linear response of a Brownian particle
- Current reversal in interacting colloids under time-periodic drive
- A Haar-like Construction for the Ornstein Uhlenbeck Process
- Reentrant Pinning, Dynamic Row Reduction, and Skyrmion Accumulation for Driven Skyrmions in Inhomogeneous Pinning Arrays
- Asymmetric simple exclusion process on a random comb: Transport properties in the stationary state
- Negative differential mobility of weakly driven particles in models of glass formers