Abstract
This lecture deals with the thermal properties of lattice solitons. Lattice solitons1 arise in a wide variety of physical contexts, where there is a balancing of nonlinearity and dispersion. Localized nonlinear excitations may possibly be relevant to some biophysical properties, e.g. proton transport2 and DNA “premelton”3 dynamics. It is therefore important to have a full understanding of a mathematically tractable model, which includes the essential features of interatomic forces: a short range repulsion and a weak restoring force.
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References
M. Toda, Theory of Nonlinear Lattices, Springer, Berlin (1981) and references cited therein
St. Pnevmatikos, Phys. Rev. Lett. 60, 1534 (1988)
H.M. Sobell, Proc. Natl. Acad. Sci. (USA) 82,5328, (1985)
H. Flashka, Phys. Rev. B9,1924 (1974)
B. Sutherland, Rocky Mount. J. Math. 8,413 (1978)
N. Theodorakopoulos, Phys. Rev. Lett. 53,874 (1984)
N. Theodorakopoulos, in Dynamical Problems in Soliton Physics, edited by S. Takeno, Springer, Berlin, 1985, p.115
M. Opper, Phys. Lett. A 112,201 (1985)
H. Takayama and M. Ishikawa, Prog. Theor. Phys. 76,820 (1986)
V. Muto, A.C. Scott and P.L. Christiansen, Phys. Lett. A 136,33 (1989)
V. Muto, A.C. Scott and P.L. Christiansen, Physica D 44,75 (1990)
N. Theodorakopoulos and F.G. Mertens, Phys. Rev. B28,3512 (1983)
N. Theodorakopoulos in Statics and Dynamics of Nonlinear Systems, edited by H. Bilz et al, Springer, Berlin, (1983), p. 271. A similar account of Toda soliton thermodynamics based on the same physical input (phonon phase shifts due to a single soliton) and also leading to a T 1/3 dependence of the soliton density has been given by F. Yoshida and T. Sakuma, Phys. Rev. A25,2750 (1982).
F.G. Mertens and H. Büttner, Phys. Lett. A84,335 (1981)
P. Grüner-Bauer and F.G. Mertens, Z. Phys. 70,435 (1988)
M. Fowler and N-C. Yu, J. Phys. A22,3095 (1989)
N. Theodorakopoulos, in Proc. 2nd Int. Conf. on Phonon Physics, edited by J. Kollar et al, World Scientific, Singapore, 1985, p.468
C.N. Yang and C.P. Yang, J. Math. Phys. 10,1115 (1969)
W. H. Press et al, Numerical Recipes, Cambridge (1986)
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Theodorakopoulos, N., Bacalis, N.C. (1992). Thermally Excited Lattice Solitons. In: Bountis, T. (eds) Proton Transfer in Hydrogen-Bonded Systems. NATO ASI Series, vol 291. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3444-0_10
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DOI: https://doi.org/10.1007/978-1-4615-3444-0_10
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