STOCHASTIC PROCESS DESCRIPTION VIA INTERPRETATION TO A SINGLE MOLECULAR ROTOR.

  • School of Applied Physics, Faculty of Science and Technology, National University of Malaysia (UKM), 43600Bangi, Selangor, Malaysia.
  • Institute for Mathematical Research (INSPEM) Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, Malaysia.
  • School of Mathematics, Faculty of Science and Technology, National University of Malaysia (UKM), 43600 Bangi, Selangor, Malaysia.
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Stochastic processes hasbeen described using Bohmian quantum mechanics by various researchers for dissipative quantum system in various applications. The Madelung quantum hydrodynamic picture in reinterpreting the stochastic process was found to be useful in describing microscopic molecular systems. In this paper, we illustrated a single molecular rotor by means of the Madelung-Bohm formalism as the quantum fluctuations corresponding to quantum stochastic force. We extended the modified Liouville equation in de Broglie-Bohm theory to associate with the mechanism of decoherence in the molecular rotor that used the motive power to control and create the motion in a non-stationary-state superposition. Thus, the interaction of the molecular rotor with the reservoir would provide the thermal fluctuation effect in the surrounding which was accounted for by two random forces. A new application of Bohmian mechanics in a single molecular rotor was proposed with both dissipative potential and quantum potential. The two random forces that described the random rotational fluctuations were the friction term and diffusion behavior of the Brownian ratchet motion in the rotor. It was explicitly shown that stochastic process in the rotor was equivalent to the quantum potential in the Bohmian theory.

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[Wan Qashishah Akmal Wan Razali, Shahidan Radiman, Hishamuddin Zainuddin and Siti Norafidah Mohd Ramli. (2017); STOCHASTIC PROCESS DESCRIPTION VIA INTERPRETATION TO A SINGLE MOLECULAR ROTOR. Int. J. of Adv. Res. 5 (May). 389-395] (ISSN 2320-5407). www.journalijar.com

WAN QASHISHAH AKMAL WAN RAZALI
School of Applied Physics, Faculty of Science and Technology, National University of Malaysia, 43600 Bangi, Selangor, Malaysia

DOI:

Article DOI: 10.21474/IJAR01/4123      
DOI URL: https://dx.doi.org/10.21474/IJAR01/4123

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