Chemistry Faculty Research Publications Copyright (c) 2013 Wayne State University All rights reserved. http://digitalcommons.wayne.edu/chemfrp Recent documents in Chemistry Faculty Research Publications en-us Wed, 23 Jan 2013 23:06:32 PST 3600 Robust Quantization of a Molecular Motor Motion in a Stochastic Environment http://digitalcommons.wayne.edu/chemfrp/1 http://digitalcommons.wayne.edu/chemfrp/1 Tue, 04 May 2010 06:17:31 PDT 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.

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