By George H. Weiss
This number of self reliant articles describes a few mathematical difficulties lately constructed in statistical physics and theoretical chemistry. The e-book introduces and studies present examine on such issues as nonlinear platforms and coloured noise, stochastic resonance, percolation, the trapping challenge within the idea of random walks, and diffusive versions for chemical kinetics. a few of these themes have by no means earlier than been provided in expository ebook shape. utilized mathematicians could be brought to a few modern difficulties in statistical physics. moreover, a couple of unsolved difficulties presently attracting extensive examine efforts are defined.
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R. Cox and H. D. Miller, The Theory of Stochastic Processes, Chapman and Hall, London, 1965. [28] L. Devroye, Non-Uniform Random Variate Generation, Springer-Verlag, New York, 1986. [29] D. L. Dexter, A theory of sensitized luminescence in solids, J. Chem. , 21 (1953), pp. 836-850. [30] A. Einstein, Investigations on the Theory of the Brownian Movement, Dover, New York, 1956. [31] A. Erdelyi, N. Magnus, F. Oberhettinger, and F. G. Tricomi, Tables of Integral Transforms, Vol. 2, McGraw-Hill, New York, 1954.
68] S. M. Pimblott, C. Alexander, N. J. B. Green, and W. G. Burns, Effects of spur overlap in radiation chemistry: Reaction in two nearby spurs, J. Chem. Soc. , 88 (1992), pp. 925-934. [69] N. U. Prabhu, Stochastic Processes: Basic Theory and Its Applications, Macmillan, New York, 1965. [70] S. A. Rice, Diffusion-Limited Reactions, Elsevier, Amsterdam, 1985. [71] W. Riimelin, Numerical treatment of stochastic differential equations, SIAM J. Numer. , 19 (1982), pp. 604-613. [72] R. Samson and J.
R. A. Atkinson and P. Clifford. First passage densities for integrated diffusions. Technical Report. Statistics Dept.. Oxford University. 1992. R. A. Atkinson. P. Clifford, and N. J. B. Green. , Molec. Phys.. 72 (1991). pp. 363 373. D. J. Balding. Diffusion-reaction in one dimension. J. Appl. Prob.. 25 (1988). pp. 733 743. D. J. Balding. P. Clifford, and N. 1. B. Green. Invasion processes and binary annihilation in one dimension. Phys. Lett. A. 126 (1988). pp. 481 483. D. J. Balding and N. J. B.