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@INPROCEEDINGS{Sagun:292134,
author = {Sagun, V. V. and Ivanytskyi, A. I. and Bugaev, K. A. and
Oliinychenko, D. R.},
title = {{B}imodality {P}henomenon in {F}inite and {I}nfinite
{S}ystems {W}ithin an {E}xactly {S}olvable {S}tatistical
{M}odel},
address = {Hamburg},
publisher = {Deutsches Elektronen-Synchrotron, DESY},
reportid = {PUBDB-2015-05847, arXiv:1311.7042},
pages = {269-273},
year = {2014},
abstract = {We present a few explicit counterexamples to the widely
spread beliefabout an exclusive role of the bimodal nuclear
fragment size distributionsas the first order phase
transition signal. In thermodynamic limitthe bimodality may
appear at the supercritical temperatures due tothe negative
values of the surface tension coefficient. Such a resultis
found within a novel exactly solvable formulation of the
simplifiedstatistical multifragmentation model based on the
virial expansionfor a system of the nuclear fragments of all
sizes. The developedstatistical model corresponds to the
compressible nuclear liquid withthe tricritical endpoint
located at one third of the normal nucleardensity. Its exact
solution for finite volumes demonstrates thebimodal fragment
size distribution right inside the finite volumeanalog of a
gaseous phase. These counterexamples clearly demonstratethe
pitfalls of Hill approach to phase transitions in finite
systems.T = Bimodality Phenomenon in Finite and Infinite
Systems Within an Exactly Solvable Statistical Model},
month = {Jul},
date = {2013-07-15},
organization = {Helmholtz International School on
Physics of Heavy Quarks and Hadrons,
Dubna (Russia), 15 Jul 2013 - 28 Jul
2013},
keywords = {model: statistical (INSPIRE) / nucleus: density (INSPIRE) /
critical phenomena (INSPIRE) / finite size (INSPIRE) /
surface tension (INSPIRE) / thermodynamical (INSPIRE) /
temperature (INSPIRE) / liquid (INSPIRE)},
cin = {L},
cid = {I:(DE-H253)L-20120731},
pnm = {899 - ohne Topic (POF3-899)},
pid = {G:(DE-HGF)POF3-899},
experiment = {EXP:(DE-H253)HERA(machine)-20150101},
typ = {PUB:(DE-HGF)8 / PUB:(DE-HGF)15},
eprint = {1311.7042},
howpublished = {arXiv:1311.7042},
archivePrefix = {arXiv},
SLACcitation = {$\%\%CITATION$ = $arXiv:1311.7042;\%\%$},
doi = {10.3204/DESY-PROC-2013-03/Sagun},
url = {https://bib-pubdb1.desy.de/record/292134},
}