Robust quantization of a molecular motor motion in a stochastic environment

Abstract

We explore quantization of the response of a molecular motor to periodic modulation of control parameters. We formulate the Pumping-Quantization Theorem (PQT) that identifies the conditions for robust integer quantized behavior of a periodically driven molecular machine. Implication of PQT on experiments with catenane molecules are discussed.

7 pages, 4 figures. J. Chem. Phys. Communications (in press)

References in corpus (4)

• Artificial Brownian motors: Controlling transport on the nanoscale
• Directed flow in non-adiabatic stochastic pumps
• Stochastic pump effect and geometric phases in dissipative and stochastic systems
• Pumping-Restriction Theorem for Stochastic Networks

Cited by in corpus (11)

• Shortcuts to Adiabatic Pumping in Classical Stochastic Systems
• General no-go condition for stochastic pumping
• A proof by graphical construction of the no-pumping theorem of stochastic pumps
• Gauge freedom in observables and Landsbergs nonadiabatic geometric phase: pumping spectroscopy of interacting open quantum systems
• Quantization and Fractional Quantization of Currents in Periodically Driven Stochastic Systems I: Average Currents
• Duality and fluctuation relations for statistics of currents on cyclic graphs
• Quantization and Fractional Quantization of Currents in Periodically Driven Stochastic Systems II: Full Counting Statistics
• Unification and new extensions of the no-pumping theorems of stochastic pumps
• Discrete changes of current statistics in periodically driven stochastic systems
• Hybrid models of molecular machines and the no-pumping theorem
• Stochastic Dynamics of Extended Objects in Driven Systems: I. Higher-Dimensional Currents in the Continuous Setting