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@PHDTHESIS{Siboni:540077,
      author       = {Siboni, Nima H.},
      othercontributors = {Varnik, Fathollah and Raabe, Dierk and Svendsen, Bob},
      title        = {{M}olecular dynamics studies of thermodynamical consistency
                      and non-locality of effective temperature},
      school       = {Aachen, Techn. Hochsch.},
      type         = {Dissertation},
      address      = {Aachen},
      publisher    = {Publikationsserver der RWTH Aachen University},
      reportid     = {RWTH-2015-05727},
      year         = {2016},
      note         = {Veröffentlicht auf dem Publikationsserver der RWTH Aachen
                      University 2016; Aachen, Techn. Hochsch., Diss., 2014},
      abstract     = {The issue of effective temperature for driven out of
                      equilibrium systems hasbeen the subject of a number of
                      theoretical and numerical studies. The effectivetemperature
                      reflects the fluctuations of the system at large time
                      scales, relevant for the slow structural relaxation. In
                      order to determine the time scale dependent temperature,
                      different thermometers with tunable time scale havebeen
                      introduced in the literature. In the present study, a
                      massive tracer particle, whose average kinetic energy
                      reflects the temperature associated with its momentum
                      fluctuations, is used as a thermometer. This particular
                      method is compared to the other proposed effective
                      temperature definitions and its deficiency in presence of
                      periodic boundary condition is studied. The reason for this
                      deficiency is discussed in detail and a modification to the
                      molecular dynamics algorithm is proposed to eliminate it. In
                      this study, it is also shown explicitly that this problem
                      does not occur at all in the presence of atomistically rough
                      solid walls, which is the case for all the non-equilibrium
                      simulations performed during this thesis. The walls
                      introduce spatial inhomogeneity in structural
                      relaxationwhich enables us to investigate two important
                      aspects of the effective temperature. On the one hand, the
                      walls lead to a non-uniform effective temperature profile,
                      which together with inhomogeneity in heat production due
                      todeformation, lay the ground to study its possible role for
                      heat conduction. Our investigations clearly show that heat
                      conduction is controlled by fast degrees of freedom only. In
                      particular, gradients in effective temperature play no role
                      for heat transfer. The flow inhomogeneity introduced by the
                      walls, on the other hand, provides a natural way to access
                      spatial correlations and cooperativity in the flow. In this
                      study, the issue of non-locality of the flow is addressed
                      via effective temperature, as the latter reflects
                      fluctuations relevant for the structural changes. A model
                      for predicting effective temperature is proposed, which
                      relates the effective temperature at a given point in space
                      to the plastic activity and correlations thereof in the
                      surrounding medium. By a comparison with a model which
                      neglects these correlations, the importance of non-local
                      effects is underlined.},
      cin          = {080003 / 523110 / 520000},
      ddc          = {550},
      cid          = {$I:(DE-82)080003_20140620$ / $I:(DE-82)523110_20140620$ /
                      $I:(DE-82)520000_20140620$},
      typ          = {PUB:(DE-HGF)11},
      urn          = {urn:nbn:de:hbz:82-rwth-2015-057277},
      url          = {https://publications.rwth-aachen.de/record/540077},
}