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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. ACKNOWLEDGMENTS We are grateful to M. Chertkov, J. R. Klein, and J. Horowitz for useful discussions. This material is based upon work supported by NSF under Grant Nos. CHE-0808910 and ECCS-0925618.




Copyright (2009) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. This article is the publisher’s version (American Institute of Physics), previously appearing in JOURNAL OF CHEMICAL PHYSICS (131(18), 2009). Also available online at

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