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Equilibrium properties of the lattice system with SALR interaction potential on a square lattice: quasi-chemical approximation versus Monte Carlo simulation

Equilibrium properties of the lattice system with SALR interaction potential on a square lattice: quasi-chemical approximation versus Monte Carlo simulation

The lattice system with competing interactions that models biological objects (colloids, ensembles of protein molecules, etc.) is considered. This system is the lattice fluid on a square lattice with attractive interaction between nearest neighbours and repulsive interaction between next-next-near...

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Main Authors: Groda, Ya.G., Vikhrenko, V.S., D. di Caprio
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2018
Series:Condensed Matter Physics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/157465
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spelling irk-123456789-1574652019-06-21T01:28:44Z Equilibrium properties of the lattice system with SALR interaction potential on a square lattice: quasi-chemical approximation versus Monte Carlo simulation Groda, Ya.G. Vikhrenko, V.S. D. di Caprio The lattice system with competing interactions that models biological objects (colloids, ensembles of protein molecules, etc.) is considered. This system is the lattice fluid on a square lattice with attractive interaction between nearest neighbours and repulsive interaction between next-next-nearest neighbours. The geometric order parameter is introduced for describing the ordered phases in this system. The critical value of the order parameter is estimated and the phase diagram of the system is constructed. The simple quasi-chemical approximation (QChA) is proposed for the system under consideration. The data of Monte Carlo simulation of equilibrium properties of the model are compared with the results of QChA. It is shown that QChA provides reasonable semiquantitative results for the systems studied and can be used as the basis for next order approximations. Розглядається ґраткова система з конкурентними взаємодiями, що моделює бiологiчнi об’єкти (колоїди, ансамблi протеїнових молекул i т.д.). Ця система представляється ґратковим плином на квадратнiй ґратцi з притягальною взаємодiєю мiж найближчими сусiдами i вiдштовхувальною взаємодiєю мiж наступними за наступними до найближчих сусiдiв. Для опису впорядкованої фази в такiй системi вводиться геометричний параметр порядку. Зроблена оцiнка критичного значення параметра порядку i побудована фазова дiаграма системи. Для системи, що розглядається, запропоновано просте квазiхiмiчне наближення (КХН). Данi симуляцiй Монте Карло рiвноважних властивостей моделi порiвнюються з результатами КХН. Показано, що КХН забезпечує прийнятнi напiвкiлькiснi результати для системи, що вивчається, i може використовуватися як базис для наступних наближень. 2018 Article Equilibrium properties of the lattice system with SALR interaction potential on a square lattice: quasi-chemical approximation versus Monte Carlo simulation / Ya.G. Groda, V.S. Vikhrenko, D. di Caprio // Condensed Matter Physics. — 2018. — Т. 21, № 4. — С. 43002: 1–10. — Бібліогр.: 16 назв. — англ. 1607-324X PACS: 05.10.Ln, 64.60.De, 64.60.Cn DOI:10.5488/CMP.21.43002 arXiv:1812.08526 http://dspace.nbuv.gov.ua/handle/123456789/157465 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description The lattice system with competing interactions that models biological objects (colloids, ensembles of protein molecules, etc.) is considered. This system is the lattice fluid on a square lattice with attractive interaction between nearest neighbours and repulsive interaction between next-next-nearest neighbours. The geometric order parameter is introduced for describing the ordered phases in this system. The critical value of the order parameter is estimated and the phase diagram of the system is constructed. The simple quasi-chemical approximation (QChA) is proposed for the system under consideration. The data of Monte Carlo simulation of equilibrium properties of the model are compared with the results of QChA. It is shown that QChA provides reasonable semiquantitative results for the systems studied and can be used as the basis for next order approximations.
format Article
author Groda, Ya.G.
Vikhrenko, V.S.
D. di Caprio
spellingShingle Groda, Ya.G.
Vikhrenko, V.S.
D. di Caprio
Equilibrium properties of the lattice system with SALR interaction potential on a square lattice: quasi-chemical approximation versus Monte Carlo simulation
Condensed Matter Physics
author_facet Groda, Ya.G.
Vikhrenko, V.S.
D. di Caprio
author_sort Groda, Ya.G.
title Equilibrium properties of the lattice system with SALR interaction potential on a square lattice: quasi-chemical approximation versus Monte Carlo simulation
title_short Equilibrium properties of the lattice system with SALR interaction potential on a square lattice: quasi-chemical approximation versus Monte Carlo simulation
title_full Equilibrium properties of the lattice system with SALR interaction potential on a square lattice: quasi-chemical approximation versus Monte Carlo simulation
title_fullStr Equilibrium properties of the lattice system with SALR interaction potential on a square lattice: quasi-chemical approximation versus Monte Carlo simulation
title_full_unstemmed Equilibrium properties of the lattice system with SALR interaction potential on a square lattice: quasi-chemical approximation versus Monte Carlo simulation
title_sort equilibrium properties of the lattice system with salr interaction potential on a square lattice: quasi-chemical approximation versus monte carlo simulation
publisher Інститут фізики конденсованих систем НАН України
publishDate 2018
url http://dspace.nbuv.gov.ua/handle/123456789/157465
citation_txt Equilibrium properties of the lattice system with SALR interaction potential on a square lattice: quasi-chemical approximation versus Monte Carlo simulation / Ya.G. Groda, V.S. Vikhrenko, D. di Caprio // Condensed Matter Physics. — 2018. — Т. 21, № 4. — С. 43002: 1–10. — Бібліогр.: 16 назв. — англ.
series Condensed Matter Physics
work_keys_str_mv AT grodayag equilibriumpropertiesofthelatticesystemwithsalrinteractionpotentialonasquarelatticequasichemicalapproximationversusmontecarlosimulation
AT vikhrenkovs equilibriumpropertiesofthelatticesystemwithsalrinteractionpotentialonasquarelatticequasichemicalapproximationversusmontecarlosimulation
AT ddicaprio equilibriumpropertiesofthelatticesystemwithsalrinteractionpotentialonasquarelatticequasichemicalapproximationversusmontecarlosimulation
first_indexed 2023-05-20T17:52:09Z
last_indexed 2023-05-20T17:52:09Z
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