Variational perturbation theory compared with computer simulations
نویسندگان
چکیده
منابع مشابه
Variational Perturbation Theory for Density Matrices
Variational perturbation theory [1,2] transforms divergent perturbation expansions into convergent ones. The convergence extends to infinitely strong couplings [3], a property which has recently been used to derive critical exponents in field theory without renormalization group methods [4,5]. The theory has first been developed in quantum mechanics for the path integral representation of the f...
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Gibbs ensemble simulation data for Stockmayer fluids with #.2 = 3.0 and #.2 = 4.0 in the reduced temperature range of 0-77 (resp. 0.80)-0"98 and presented and compared with predictions based on the perturbation theories of Stell, G., Rasaiah, J. C., and Narang, H., 1972, Molec. Phys., 23, 393; 1974, 27, 1393. The description of the reference fluid is improved by applying the modified Benedict-W...
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We present a method for evaluating divergent series with factorially growing coefficients of equal sign. The method is based on an analytic continuation of variational perturbation theory from the regime of alternating signs. We demonstrate its power first by applying it to the exactly known partition function of the anharmonic oscillator in zero space–time dimensions (the simple integral). The...
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The perturbation theory for critical points of causal variational principles is developed. We first analyze the class of perturbations obtained by multiplying the universal measure by a weight function and taking the push-forward under a diffeomorphism. Then the constructions are extended to convex combinations of such measures, leading to perturbation expansions for the mean and the fluctuatio...
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ژورنال
عنوان ژورنال: International Journal of Thermophysics
سال: 1995
ISSN: 0195-928X,1572-9567
DOI: 10.1007/bf02081294