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SUMMARY:Physical modeling of macroscopic properties of the complex many-pa
 rticle\, poly-dispersive micromechanical (granular) systems
DTSTART;VALUE=DATE-TIME:20260923T144000Z
DTEND;VALUE=DATE-TIME:20260923T150000Z
DTSTAMP;VALUE=DATE-TIME:20260914T040541Z
UID:indico-contribution-508@indico.bitp.kiev.ua
DESCRIPTION:Speakers: Oleg Gerasymov (Odesa National  University)\nPhysica
 l modeling of macroscopic properties of the complex many-particle\, poly-d
 ispersive micromechanical (granular) systems\nO.I. Gerasymov*\, A.Ya. Spiv
 ak#\n*State University of Intelligent Technology and Telecommunications\, 
 Odesa\n*National Technical University of Ukraine "Igor Sikorsky Kyiv Polyt
 echnic Institute\, Kyiv\nOdesa National Mechnikov’s University\nThe stud
 y of the influence on the formation of macroscopic properties of multi-com
 ponent mixtures is a complex and continuing to be an urgent task of fundam
 ental physics and its numerous applications [1]. The traditional difficult
 ies in determining reference states are supplemented by the difficulties o
 f taking into account the effect of compaction in multicomponent mixtures.
  The task of describing the relationships between the micro- and macro-par
 ameters of such systems is further complicated by the fact that multi-comp
 onent mixtures (even if they are granular) can be in various states of agg
 regation from gaseous and liquid to crystalline. \nPresented paper develop
 s theoretical approaches to the description of macroscopic (compressibilit
 y) and structural (compaction) characteristics of complex many-particle\, 
 poly-dispersive multi-component mixtures\, using Kirkwood-Buff's semi-phen
 omenological algorithm [2]\, molecular models like Carnahan-Starling-Manso
 ori [3]. Based on a comparative analysis would be build a prognostic base 
 for the practical application of the results obtained in order to optimize
  (achieve the required values) of control parameters in liquid\, granular 
 mixtures by manipulation of their composition and/or compaction. Along thi
 s line\, using the Carnahan–Starling–Mansoori hard-sphere conglomerati
 on models and the Kirkwood–Buff statistical theory\, the effect of compa
 ction (packing) on the compressibility of a binary granular mixture has be
 en analyzed [4]. The theoretical results are compared with the experimenta
 l ones obtained in alternative studies of the systems whose internal struc
 ture corresponds to the construction characteristics of the model [5]. The
  possibility of the maximum packing effect at special dispersion and mole 
 fraction values of the components has been shown. The existence of the lim
 it and intermediate states of the mixture with a predominant concentration
  of one of the components and the possibility of the most adequate descrip
 tion of the system properties in such states using one of the above-mentio
 ned approaches have been demonstrated. The interval of values for the comp
 onent volume fractions has been determined\, where both approaches well de
 scribe the data of corresponding experiments.\nReferences\n[1] O.I. Gerasy
 mov. Physics of granular materials. Odesa\, TES\, 2015. 264p.\n[2] J.G. Ki
 rkwood\, F.P. Buff. The statistical mechanical theory of solutions. I. J. 
 Chem. Phys. 19\, 774. \n[3] G.A. Mansoori\, N.F. Carnahan\, K.E. Starling\
 , T.W. Leland\, Jr. Equilibrium thermodynamic properties of the mixture of
  hard spheres. J. Chem. Phys. 54\, 1523 (1971). \n[4] O.I. Gerasymov\, A.Y
 a. Spivak. Packing and compressibility of binary micromechanical (granular
 ) systems. Ukr. J. Phys. 70\, No. 8\, 543 (2025). \n[5] S. Pillitteri\, G.
  Lumay\, E. Opsomer\, N. Vandewalle. How size ratio and segregation affect
  the packing of binary granular mixtures. Soft Matt. 16\, 9094 (2020).\n\n
 https://indico.bitp.kiev.ua/event/18/contributions/508/
LOCATION:Bogolyubov Institute for Theoretical Physics Conference Hall
URL:https://indico.bitp.kiev.ua/event/18/contributions/508/
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