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12
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0001374744
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L. Angelani, G. Parisi, G. Ruocco, and G. Viliani, Phys. Rev. Lett. 81, 4648 (1998).
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(1998)
Phys. Rev. Lett.
, vol.81
, pp. 4648
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Angelani, L.1
Parisi, G.2
Ruocco, G.3
Viliani, G.4
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15
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85037880047
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F. Demichelis, thesis, Università di Trento, 1996.
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F. Demichelis, thesis, Università di Trento, 1996.
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17
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0001872148
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The dependence of the number of minima on boundary conditions and density has been addressed recently by F.H. Stillinger, Phys. Rev. E 59, 48 (1999).
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(1999)
Phys. Rev. E
, vol.59
, pp. 48
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Stillinger, F.H.1
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18
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0003474751
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Cambridge University Press, Cambridge
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W.H. Press, B.P. Flannery, S.A. Teukolsky, and W.T. Vetterling, Numerical Recipes (Cambridge University Press, Cambridge, 1986).
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(1986)
Numerical Recipes
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Press, W.H.1
Flannery, B.P.2
Teukolsky, S.A.3
Vetterling, W.T.4
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19
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4043157260
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An alternative, but in many respects similar, procedure has been recently described by G.T. Barkema and N. Mousseau, Phys. Rev. Lett. 77, 4358 (1996).
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(1996)
Phys. Rev. Lett.
, vol.77
, pp. 4358
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Barkema, G.T.1
Mousseau, N.2
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21
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85037905146
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L. Landau and E. Lifichitz, Mécanique Quantique (MIR, Moscow, 1967), Chap. 7
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L. Landau and E. Lifichitz, Mécanique Quantique (MIR, Moscow, 1967), Chap. 7
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24
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85037908647
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To determine the least-action path, the classical action integral was first evaluated along the straight line joining two minima and subsequently minimized by deforming the straight line to a series of 10–20 consecutive segments in the multidimensional configuration space.
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To determine the least-action path, the classical action integral was first evaluated along the straight line joining two minima and subsequently minimized by deforming the straight line to a series of 10–20 consecutive segments in the multidimensional configuration space.
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25
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85037893494
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Apart from the unlikely possibility that the curvatures are equal at the minima and at the saddle, but change in between.
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Apart from the unlikely possibility that the curvatures are equal at the minima and at the saddle, but change in between.
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26
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0000616143
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K. Trachenko, M.T. Dove, K.D. Hammonds, M.J. Harris, and V. Heine, Phys. Rev. Lett. 81, 3431 (1998).
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(1998)
Phys. Rev. Lett.
, vol.81
, pp. 3431
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Trachenko, K.1
Dove, M.T.2
Hammonds, K.D.3
Harris, M.J.4
Heine, V.5
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27
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85037882843
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G. Daldoss, thesis, Università di Trento, 1997.
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G. Daldoss, thesis, Università di Trento, 1997.
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28
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85037878467
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For the application of method (i), the least-action path was determined by minimizing the action integral S following the procedure of Ref. 15, and by taking as initial path the one starting from the saddle and reaching the minima by a minimum eigenvalue search. The action integral was evaluated also along the straight line connecting the minima; for the TLS the straight-line integral turns out to be about a factor (Formula presented) larger than the least-action one.
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For the application of method (i), the least-action path was determined by minimizing the action integral S following the procedure of Ref. 15, and by taking as initial path the one starting from the saddle and reaching the minima by a minimum eigenvalue search. The action integral was evaluated also along the straight line connecting the minima; for the TLS the straight-line integral turns out to be about a factor (Formula presented) larger than the least-action one.
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29
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85037873344
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There exist also pairs of minima with very little or no asymmetry but characterized by huge action integrals leading to tunneling probabilities of the order of less than 1 event per day; these involve large displacements of surface atoms and have been discarded.
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There exist also pairs of minima with very little or no asymmetry but characterized by huge action integrals leading to tunneling probabilities of the order of less than 1 event per day; these involve large displacements of surface atoms and have been discarded.
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