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@ARTICLE{DiCairano:904542,
      author       = {Di Cairano, Loris and Gori, Matteo and Pettini, Marco},
      title        = {{T}opology and {P}hase {T}ransitions: {A} {F}irst
                      {A}nalytical {S}tep towards the {D}efinition of {S}ufficient
                      {C}onditions},
      journal      = {Entropy},
      volume       = {23},
      number       = {11},
      issn         = {1099-4300},
      address      = {Basel},
      publisher    = {MDPI},
      reportid     = {FZJ-2021-06112},
      pages        = {1414 -},
      year         = {2021},
      abstract     = {Different arguments led to supposing that the deep origin
                      of phase transitions has to be identified with suitable
                      topological changes of potential related submanifolds of
                      configuration space of a physical system. An important step
                      forward for this approach was achieved with two theorems
                      stating that, for a wide class of physical systems, phase
                      transitions should necessarily stem from topological changes
                      of energy level submanifolds of the phase space. However,
                      the sufficiency conditions are still a wide open question.
                      In this study, a first important step forward was performed
                      in this direction; in fact, a differential equation was
                      worked out which describes how entropy varies as a function
                      of total energy, and this variation is driven by the total
                      energy dependence of a topology-related quantity of the
                      relevant submanifolds of the phase space. Hence, general
                      conditions can be in principle defined for topology-driven
                      loss of differentiability of the entropy.},
      cin          = {IAS-5 / INM-9},
      ddc          = {510},
      cid          = {I:(DE-Juel1)IAS-5-20120330 / I:(DE-Juel1)INM-9-20140121},
      pnm          = {899 - ohne Topic (POF4-899)},
      pid          = {G:(DE-HGF)POF4-899},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {pmid:34828112},
      UT           = {WOS:000724133900001},
      doi          = {10.3390/e23111414},
      url          = {https://juser.fz-juelich.de/record/904542},
}