14,691 research outputs found

    The mean shape of transition and first-passage paths

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    We calculate the mean shape of transition paths and first-passage paths based on the one-dimensional Fokker-Planck equation in an arbitrary free energy landscape including a general inhomogeneous diffusivity profile. The transition path ensemble is the collection of all paths that do not revisit the start position xAx_A and that terminate when first reaching the final position xBx_B. In contrast, a first-passage path can revisit but not cross its start position xAx_A before it terminates at xBx_B. Our theoretical framework employs the forward and backward Fokker-Planck equations as well as first-passage, passage, last-passage and transition-path time distributions, for which we derive the defining integral equations. We show that the mean time at which the transition path ensemble visits an intermediate position xx is equivalent to the mean first-passage time of reaching the starting position xAx_A from xx without ever visiting xBx_B. The mean shape of first-passage paths is related to the mean shape of transition paths by a constant time shift. Since for large barrier height UU the mean first-passage time scales exponentially in UU while the mean transition path time scales linearly inversely in UU, the time shift between first-passage and transition path shapes is substantial. We present explicit examples of transition path shapes for linear and harmonic potentials and illustrate our findings by trajectories generated from Brownian dynamics simulations

    Effects of Government Programs on Corn, Soybeans, and Wheat Production in the U.S.

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    Agricultural Finance, Farm Management, Production Economics,

    U.S. WHEAT STORAGE CONTROL UNDER JOINT CRITERIA OF MEAN BENEFITS AND PRICE VARIATION

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    A method based on stochastic dynamic programming is developed to derive efficiency frontiers for the trade-off between the long-run average social benefits and price variation. The method is used to quantify the importance of price variation per se as a criterion in U.S. wheat storage policy. The results suggest that a single criterion of maximum expected social benefits, calculated by the traditional surplus measures, is satisfactory because price variation is incidentally reduced enough that further reductions can be attained only a considerable opportunity cost.Crop Production/Industries,

    Possible f-wave superconductivity in Sr2_2RuO4_4?

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    Until recently it has been believed that the superconductivity in Sr2_2RuO4_4 is described by p-wave pairing. However, both the recent specific heat and the magnetic penetration depth measurements on the purest single crystals of Sr2_2RuO4_4 appear to be explained more consistently in terms of f-wave superconductivity. In order to further this hypothesis, we study theoretically the thermodynamics and thermal conductivity of f-wave superconductors in a planar magnetic field. We find the simple expressions for these quantities when H≪Hc2H \ll H_{c2} and T≪TcT \ll T_{c}, which should be readily accessible experimentally.Comment: 6 pages, 2 figure

    Effect of nuclear interactions of neutral kaons on CP asymmetry measurements

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    We examine the effect of the difference in nuclear interactions of K0{K}^0 and Kˉ0\bar{K}^0 mesons on the measurement of CP asymmetry for experiments at e+e−e^+e^- colliders - charm and BB-meson factories. We find that this effect on CP asymmetry can be as large as 0.3%, and therefore sufficiently significant in interpreting measurements of CP asymmetry when neutral kaons are present in the final state.Comment: accepted to PR
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