Remarks About Diffusion Mediated Transport: Thinking About Motion in Small Systems

  • S. Hastings
  • D. Kinderlehrer
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 79)


We describe a dissipation principle/variational principle which may be useful in modeling motion in small viscous systems and provide brief illustrations to brownian motor or molecular rachet situations which are found in intracellular transport. Monge-Kantorovich mass transport and Wasserstein metric play an interesting role in these developments. Some properties of the system that ensure the presence of transport are discussed.


Variational Principle Molecular Motor Period Interval Logarithmic Sobolev Inequality Brownian Motor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • S. Hastings
    • 1
  • D. Kinderlehrer
    • 2
  1. 1.Dept. of MathematicsUniversity of PittsburghPittsburghUSA
  2. 2.Center for Nonlinear Analysis and Department of Mathematical SciencesCarnegie Mellon UniversityPittsburghUSA

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