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      Mpemba Paradox Revisited -- Numerical Reinforcement

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          Abstract

          Inspired by responses to the work (arXiv:1310.6514), we solved the one-dimensional, nonlinear Fourier initial and boundary condition problem using the finite element method. Examination of all possible parameters reveals the following: 1. Hydrogen bond has memory effect to emit energy at a rate, or with a relaxation time, depending on initial energy storage. 2. Skin super-solidity creates gradients in thermal diffusion coefficient for heat conduction in liquid with the optimal skin-bulk ratio of 1.48. 3. Convection alone produces no such effect. 4. Mpemba effect happens only in the highly non-diabetic source-path-drain cycling system.

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          Journal
          2013-12-03
          2013-12-05
          Article
          1312.1014
          6e51526a-3282-4c09-8208-7cebaf23c309

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          PCCP, 2014. 16(42): 22995-23002
          physics.chem-ph cond-mat.soft

          Condensed matter, Physical chemistry

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