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Noises- and delay-enhanced stability in a bistable dynamical system describing chemical reaction
Authors:Tao Yang  Chun Zhang  Qinglin Han  Chun-Hua Zeng  Hua Wang  Dong Tian  Fei Long
Institution:1. Saudi Center for Theoretical Physics, 31261, Dhahran, Saudi Arabia
2. Theoretical Physics Group, Faculty of Sciences, Choua?b Doukkali University, PO Box 20, 24000, El Jadida, Morocco
3. Physics Department, Faculty Polydisciplinary, Sultan Moulay Slimane University, 23000, Beni Mellal, Morocco
4. Physics Department, King Fahd University of Petroleum and Minerals, 31261, Dhahran, Saudi Arabia
Abstract:The energy spectrum of a graphene sheet subject to a single barrier potential having a time periodic oscillating height and subject to a magnetic field is analyzed. The corresponding transmission is studied as function of the incident energy and potential parameters. Quantum interference within the oscillating barrier has an important effect on quasiparticles tunneling. In particular the time-periodic electrostatic potential generates additional sidebands at energies ? + l?ω (l = 0, ±1,...) in the transmission probability originating from the photon absorption or emission within the oscillating barrier. Due to numerical difficulties in truncating the resulting coupled channel equations we limited ourselves to low quantum channels, i.e. l = 0, ± 1.
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