Selection Rejection in Ising Spin systems with an exponential distribution of Spins

	International Journal of Mathematics Trends and Technology (IJMTT)
	© 2015 by IJMTT Journal
	Volume-27 Number-1
	Year of Publication : 2015
	Authors : Tapas Kumar Sinha, Sachinadan Chanda
	10.14445/22315373/IJMTT-V27P502

Tapas Kumar Sinha, Sachinadan Chanda "Selection Rejection in Ising Spin systems with an exponential distribution of Spins", International Journal of Mathematics Trends and Technology (IJMTT). V27(1):7-11 November 2015. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
We consider an Ising spin system where the spins have a Gaussian distribution about their equilibrium state. Such a model can be used as reasonable approximation for bonds of polymers which are known to exist to fluctuate about the t, g, g + states.

References
[1] “Spin glasses and the statistical mechanics of protein folding”, by Joseph D. Bryngelson and Peter G. Wolynes, Proc. Natl. Acad. Sci. USA, Vol. 84, pp. 7524-7528, Nov. 1987
[2] Paine, G. H. & Scheraga, H. A. (1985) Biopolymers 24 [3] Anfinsen, C. B. (1973) Science 181, 223-230.
[4] Creighton, T. E. (1985) J. Phys. Chem. 89, 2452-2459.
[5] Weber, G. (1986) Biochemistry 25, 3626-3630.
[6] King, L. & Weber, G. (1986) Biochemistry 25, 3632-3637.
[7] Stein, D. (1985) Proc. Natl. Acad. Sci. USA 82, 3670-3672.
[8] Poland, D. & Scheraga, H. A. (1970) Theory of Helix-Coil Transitions in Biopolymers (Academic, New York).
[9] Derrida, B. (1981) Phys. Rev. B 24, 2613-2626.
[10] Kelleic H, Debrunner P. G, Phys. Rev. Lett., 46 (1980) 68.
[11] Fraunfelder H, Petsko G. A., Tsernoolou D, Nature (1979) pp. 568. [12] Sherrington D and Kirkpatrick S 1975 Phys. Rev. Len. 35 1792-6
[13] Edwards S F and Anderson P W 1975 J. Phys. F : Metal Phys. 5 965-74
[14] Bradley P. Morgan, John M. Scholtz, Marcus D. Ballinger, Han D. Ziplin, and Paul A. Bartlett, J. Am. Chem. Soc., 1991 113 pp. 297-317
[15] Sousa A, Sousa F, Quiroz J. A, J. Sep. Sci., Sep. 23 (17-18), pp. 2610-2618 [16] M. Mezard, G. Parisi and M. A. Virasoro, Europhys. Lett., 1(2), (1986) pp77-82

Keywords
We first examine the statistical mechanics of an Ising system with the spins having an exponential distribution.