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- Eriksson, Anders, 1975, et al.
(författare)
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Gene-history correlation and population structure.
- 2004
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Ingår i: Physical biology. - : IOP Publishing. - 1478-3967 .- 1478-3975. ; 1:3-4, s. 220-8
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Tidskriftsartikel (refereegranskat)abstract
- Correlation of gene histories in the human genome determines the patterns of genetic variation (haplotype structure) and is crucial to understanding genetic factors in common diseases. We derive closed analytical expressions for the correlation of gene histories in established demographic models for genetic evolution and show how to extend the analysis to more realistic (but more complicated) models of demographic structure. We identify two contributions to the correlation of gene histories in divergent populations: linkage disequilibrium, and differences in the demographic history of individuals in the sample. These two factors contribute to correlations at different length scales: the former at small, and the latter at large scales. We show that recent mixing events in divergent populations limit the range of correlations and compare our findings to empirical results on the correlation of gene histories in the human genome.
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- Gorin, T, et al.
(författare)
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The decay of photoexcited quantum systems: a description within the statistical scattering model
- 2004
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Ingår i: J. Phys. A: Mathematical and General. - 0305-4470. ; 37
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Tidskriftsartikel (refereegranskat)abstract
- The decay of photoexcited quantum systems (examples are photodissociation of molecules and autoionization of atoms) can be viewed as a half-collision process (an incoming photon excites the system which subsequently decays by dissociation or autoionization). For this reason, the standard statistical approach to quantum scattering, originally developed to describe nuclear compound reactions, is not directly applicable. Using an alternative approach, correlations and fluctuations of observables characterizing this process were first derived in Fyodorov and Alhassid. Here we show how the results cited above, and more recent results incorporating direct decay processes, can be obtained from the standard statistical scattering approach by introducing one additional channel.
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- Mehlig, Bernhard, 1964, et al.
(författare)
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Coagulation by random velocity fields as a Kramers problem
- 2004
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Ingår i: Physical Review Letters. - 0031-9007. ; 92
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Tidskriftsartikel (refereegranskat)abstract
- We analyze the motion of a system of particles suspended in a fluid which has a random velocity field. There are coagulating and noncoagulating phases. We show that the phase transition is related to a Kramers problem, and we use this to determine the phase diagram in two dimensions, as a function of the dimensionless inertia of the particles, epsilon, and a measure of the relative intensities of potential and solenoidal components of the velocity field, Gamma. We find that the phase line is described by a function which is nonanalytic at epsilon= 0, and which is related to escape over a barrier in the Kramers problem. We discuss the physical realizations of this phase transition.
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