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.
- Publication:
-
Journal of Chemical Physics
- Pub Date:
- November 2009
- DOI:
- 10.1063/1.3263821
- arXiv:
- arXiv:0906.3032
- Bibcode:
- 2009JChPh.131r1101C
- Keywords:
-
- metastable states;
- molecular configurations;
- organic compounds;
- quantisation (quantum theory);
- stochastic processes;
- 33.80.Rv;
- 02.50.Ey;
- 33.15.Bh;
- Multiphoton ionization and excitation to highly excited states;
- Stochastic processes;
- General molecular conformation and symmetry;
- stereochemistry;
- Condensed Matter - Mesoscale and Nanoscale Physics;
- Condensed Matter - Statistical Mechanics;
- Mathematics - Combinatorics;
- Nonlinear Sciences - Cellular Automata and Lattice Gases;
- Quantitative Biology - Quantitative Methods
- E-Print:
- 7 pages, 4 figures. J. Chem. Phys. Communications (in press)