On the Bulk Velocity of Brownian Ratchets
DOI10.1137/15M1016205zbMath1398.35246arXiv1408.1548OpenAlexW2300818959MaRDI QIDQ2793836
No author found.
Publication date: 17 March 2016
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.1548
transportrelative entropyFokker-Planck equationperiodic solutionBrownian motortilting ratchetstochastic Stokes' drift
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Fixed-point theorems (47H10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Inequalities involving derivatives and differential and integral operators (26D10) Fokker-Planck equations (35Q84)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A homogenization approach to flashing ratchets
- Stability of periodic stationary solutions of scalar conservation laws with space-periodic flux
- The flashing ratchet and unidirectional transport of matter
- Asymmetric potentials and motor effect: a large deviation approach
- A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit
- Asymmetric potentials and motor effect: a homogenization approach
- Compact sets in the space \(L^ p(0,T;B)\)
- I-divergence geometry of probability distributions and minimization problems
- Stochastic calculus: Application to dynamic bifurcations and threshold crossings
- Diffusion-mediated transport and the flashing ratchet.
- A homogenization approach for the motion of motor proteins
- Analytical aspects of the Brownian motor effect in randomly flashing ratchets
- On the Definition and Properties of Certain Variational Integrals
- Diffusion Mediated Transport in Multiple State Systems
- Contraction in L^1 for a system arising in chemical reactions and molecular motors
- Two-sided estimates of fundamental solutions of second-order parabolic equations, and some applications
- DEGENERATE EQUATIONS OF PENDULUM-TYPE
- Brownian motors
- Stochastic Stokes' Drift, Homogenized Functional Inequalities, and Large Time Behavior of Brownian Ratchets
- A QUALITATIVE STUDY OF LINEAR DRIFT-DIFFUSION EQUATIONS WITH TIME-DEPENDENT OR DEGENERATE COEFFICIENTS
- Transport in a molecular motor system
- Stokes' drift: A rocking ratchet
- Brownian motors: noisy transport far from equilibrium
This page was built for publication: On the Bulk Velocity of Brownian Ratchets