Rigorous Study of the Unbinding Transition of Biomembranes and Strings from Morse Potentials
Joint Authors
El Kinani, Radouane
Kaidi, Hamid
Benhamou, Mabrouk
Source
Conference Papers in Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-17
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The purpose is an exact study of the unbinding transition from two interacting manifolds (strings or bilayer membranes).
These systems have similar scaling behavior, and then it is sufficient to consider only the strings’ problem.
We assume that the manifolds interact via a realistic potential of Morse type.
To this end, the use is made of the transfer matrix method, based on the resolution of a Schrödinger equation.
We first determine the associated bound states and energy spectrum.
Second, the exact ground state energy gives the free energy density, from which we extract the expression of the unbinding temperature.
Third, we determine the contact probability between manifolds, from which we compute the (diverging) average separation and roughness of the manifolds.
It is found that their critical behavior is close to that obtained using Field-Theoretical Renormalization-Group.
The conclusion is that these analytical studies reveal that the Morse potential is a good candidate for the study of the unbinding phenomenon within manifolds.
Finally, the discussion is extended to generalized Morse potential.
American Psychological Association (APA)
Benhamou, Mabrouk& El Kinani, Radouane& Kaidi, Hamid. 2013. Rigorous Study of the Unbinding Transition of Biomembranes and Strings from Morse Potentials. Conference Papers in Mathematics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-463292
Modern Language Association (MLA)
Benhamou, Mabrouk…[et al.]. Rigorous Study of the Unbinding Transition of Biomembranes and Strings from Morse Potentials. Conference Papers in Mathematics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-463292
American Medical Association (AMA)
Benhamou, Mabrouk& El Kinani, Radouane& Kaidi, Hamid. Rigorous Study of the Unbinding Transition of Biomembranes and Strings from Morse Potentials. Conference Papers in Mathematics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-463292
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-463292