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Dynamics of DNA breathing in the Peyrard-Bishop model with damping and external force
Sulaiman A.a,b, Zen F.P.b, Alatas H.b,c, Handoko L.T.d,e
a Badan Pengkajian Dan Penerapan Teknologi, BPPT Bld. II, Indonesia
b Theoretical High Energy Physics and Instrumentation (THEPI), Department of Physics, Institut Teknologi Bandung, Indonesia
c Department of Physics, Kampus IPB Darmaga, Bogor Agricultural University, Indonesia
d Group for Theoretical and Computational Physics, Research Center for Physics, Indonesian Institute of Sciences, Indonesia
e Department of Physics, University of Indonesia, Kampus UI Depok, Indonesia
[vc_row][vc_column][vc_row_inner][vc_column_inner][vc_separator css=”.vc_custom_1624529070653{padding-top: 30px !important;padding-bottom: 30px !important;}”][/vc_column_inner][/vc_row_inner][vc_row_inner layout=”boxed”][vc_column_inner width=”3/4″ css=”.vc_custom_1624695412187{border-right-width: 1px !important;border-right-color: #dddddd !important;border-right-style: solid !important;border-radius: 1px !important;}”][vc_empty_space][megatron_heading title=”Abstract” size=”size-sm” text_align=”text-left”][vc_column_text]The impact of the damping effect and external forces on DNA breathing is investigated within the Peyrard-Bishop model. In the continuum limit, the dynamics of the breathing of DNA is described by the forced-damped nonlinear Schrodinger equation and studied by means of the variational method. The analytical solutions are obtained for special cases. It is shown that the breather propagation is decelerated in the presence of a damping factor without the external force, while the envelope velocity and the amplitude increase significantly with the presence of external force. It is particularly found that the higher harmonic terms are enhanced when the periodic force is applied. It is finally argued that the external force accelerates the DNA breathing. © 2012 Elsevier B.V. All rights reserved.[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Author keywords” size=”size-sm” text_align=”text-left”][vc_column_text]Continuum limits,Damping effect,Damping factors,DNA breathing,Higher harmonics,Periodic forces,Peyrard bishops,Variational methods[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Indexed keywords” size=”size-sm” text_align=”text-left”][vc_column_text]DNA breathing,Peyrard-Bishop,Soliton[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Funding details” size=”size-sm” text_align=”text-left”][vc_column_text]AS thanks the Group for Theoretical and Computational Physics LIPI for warm hospitality during the work. This work is funded by the Indonesia Ministry of Research and Technology and the Riset Kompetitif LIPI in fiscal year 2011 under Contract no. 11.04/SK/KPPI/II/2011. FPZ thanks Riset KK ITB 2012 and Disentralisasi ITB-DIKTI 2012.[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”DOI” size=”size-sm” text_align=”text-left”][vc_column_text]https://doi.org/10.1016/j.physd.2012.06.011[/vc_column_text][/vc_column_inner][vc_column_inner width=”1/4″][vc_column_text]Widget Plumx[/vc_column_text][/vc_column_inner][/vc_row_inner][/vc_column][/vc_row][vc_row][vc_column][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][/vc_column][/vc_row]