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- W2138659359 abstract "A variational approach is considered to calculate the free energy and the conformational properties of a polyelectrolyte chain in d dimensions. We consider in detail the case of pure Coulombic interactions between the monomers, when screening is not present, in order to compute the end-to-end distance and the asymptotic properties of the chain as a function of the polymer chain length N. We find R≃N ν(log N)γ, where ν = and λ is the exponent which characterizes the long-range interaction U∝ 1/r λ. The exponent γ is shown to be non-universal, depending on the strength of the Coulomb interaction. We check our findings by a direct numerical minimization of the variational energy for chains of increasing size 24 < N < 215. The electrostatic blob picture, expected for small enough values of the interaction strength, is quantitatively described by the variational approach. We perform a Monte Carlo simulation for chains of length 24 < N < 210. The non-universal behavior of the exponent γ previously derived within the variational method is also confirmed by the simulation results. Non-universal behavior is found for a polyelectrolyte chain in d = 3 dimension. Particular attention is devoted to the homopolymer chain problem, when short-range contact interactions are present." @default.
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- W2138659359 date "2001-04-01" @default.
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- W2138659359 title "Weak violation of universality for polyelectrolyte chains: Variational theory and simulations" @default.
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- W2138659359 doi "https://doi.org/10.1007/s101890170103" @default.
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