TY  - JOUR
AU  - Ilić, Dušan I.
AU  - Šetrajčić, Jovan P.
AU  - Jaćimovski, Stevo
PY  - 2018
UR  - http://jakov.kpu.edu.rs/handle/123456789/859
AB  - In this paper, we investigated the influence of size effect on thermodynamic properties of ultra-narrow wires with a simple cubic lattice, by means of two-time dependent Green functions method, adjusted to confined crystalline structures. Poles of Green functions, which defining phonon spectra, are found by solving the secular equation. For different boundary parameters, this problem is presented graphically. The temperature behavior of ultra-narrow wire thermal capacitance is compared to that of bulk structures. It turned out that in low-temperature region thermal capacitance of the ultra-narrow wire is notably lower than in the corresponding bulk sample. How this fact reflects the thermal, conducting and superconducting properties of materials, is discussed in the conclusion.
PB  - Polish Acad Sciences Inst Physics, Warsaw
T2  - Acta physica polonica A
T1  - Phonon-Induced Thermodynamic Properties of Ultra-narrow Wires
VL  - 133
IS  - 1
SP  - 57
EP  - 62
DO  - 10.12693/APhysPolA.133.57
ER  - 

@article{
author = "Ilić, Dušan I. and Šetrajčić, Jovan P. and Jaćimovski, Stevo",
year = "2018",
abstract = "In this paper, we investigated the influence of size effect on thermodynamic properties of ultra-narrow wires with a simple cubic lattice, by means of two-time dependent Green functions method, adjusted to confined crystalline structures. Poles of Green functions, which defining phonon spectra, are found by solving the secular equation. For different boundary parameters, this problem is presented graphically. The temperature behavior of ultra-narrow wire thermal capacitance is compared to that of bulk structures. It turned out that in low-temperature region thermal capacitance of the ultra-narrow wire is notably lower than in the corresponding bulk sample. How this fact reflects the thermal, conducting and superconducting properties of materials, is discussed in the conclusion.",
publisher = "Polish Acad Sciences Inst Physics, Warsaw",
journal = "Acta physica polonica A",
title = "Phonon-Induced Thermodynamic Properties of Ultra-narrow Wires",
volume = "133",
number = "1",
pages = "57-62",
doi = "10.12693/APhysPolA.133.57"
}

Ilić, D. I., Šetrajčić, J. P.,& Jaćimovski, S.. (2018). Phonon-Induced Thermodynamic Properties of Ultra-narrow Wires. in Acta physica polonica A
Polish Acad Sciences Inst Physics, Warsaw., 133(1), 57-62.
https://doi.org/10.12693/APhysPolA.133.57

Ilić DI, Šetrajčić JP, Jaćimovski S. Phonon-Induced Thermodynamic Properties of Ultra-narrow Wires. in Acta physica polonica A. 2018;133(1):57-62.
doi:10.12693/APhysPolA.133.57 .

Ilić, Dušan I., Šetrajčić, Jovan P., Jaćimovski, Stevo, "Phonon-Induced Thermodynamic Properties of Ultra-narrow Wires" in Acta physica polonica A, 133, no. 1 (2018):57-62,
https://doi.org/10.12693/APhysPolA.133.57 . .

TY  - JOUR
AU  - Šetrajčić, Jovan P.
AU  - Ilić, Dušan I.
AU  - Jaćimovski, Stevo
PY  - 2018
UR  - http://jakov.kpu.edu.rs/handle/123456789/893
AB  - In this paper, we have analytically investigated how the changes in boundary surface parameters influence the phonon dispersion law in ultrathin films of the simple cubic crystalline structure. Spectra of possible phonon states are analyzed using the method of two-time dependent Green's functions and for the diverse combination of boundary surface parameters, this problem was presented numerically and graphically. It turns out that for certain values and combinations of parameters, displacement of dispersion branches outside of bulk zone occurs, leading to the creation of localized phonon states. This fact is of great importance for the heat removal, electrical conductivity and superconducting properties of ultrathin films.
PB  - Elsevier Science Bv, Amsterdam
T2  - Physica a-statistical mechanics and its applications
T1  - The influence of the surface parameter changes onto the phonon states in ultrathin crystalline films
VL  - 496
SP  - 434
EP  - 445
DO  - 10.1016/j.physa.2017.12.138
ER  - 

@article{
author = "Šetrajčić, Jovan P. and Ilić, Dušan I. and Jaćimovski, Stevo",
year = "2018",
abstract = "In this paper, we have analytically investigated how the changes in boundary surface parameters influence the phonon dispersion law in ultrathin films of the simple cubic crystalline structure. Spectra of possible phonon states are analyzed using the method of two-time dependent Green's functions and for the diverse combination of boundary surface parameters, this problem was presented numerically and graphically. It turns out that for certain values and combinations of parameters, displacement of dispersion branches outside of bulk zone occurs, leading to the creation of localized phonon states. This fact is of great importance for the heat removal, electrical conductivity and superconducting properties of ultrathin films.",
publisher = "Elsevier Science Bv, Amsterdam",
journal = "Physica a-statistical mechanics and its applications",
title = "The influence of the surface parameter changes onto the phonon states in ultrathin crystalline films",
volume = "496",
pages = "434-445",
doi = "10.1016/j.physa.2017.12.138"
}

Šetrajčić, J. P., Ilić, D. I.,& Jaćimovski, S.. (2018). The influence of the surface parameter changes onto the phonon states in ultrathin crystalline films. in Physica a-statistical mechanics and its applications
Elsevier Science Bv, Amsterdam., 496, 434-445.
https://doi.org/10.1016/j.physa.2017.12.138

Šetrajčić JP, Ilić DI, Jaćimovski S. The influence of the surface parameter changes onto the phonon states in ultrathin crystalline films. in Physica a-statistical mechanics and its applications. 2018;496:434-445.
doi:10.1016/j.physa.2017.12.138 .

Šetrajčić, Jovan P., Ilić, Dušan I., Jaćimovski, Stevo, "The influence of the surface parameter changes onto the phonon states in ultrathin crystalline films" in Physica a-statistical mechanics and its applications, 496 (2018):434-445,
https://doi.org/10.1016/j.physa.2017.12.138 . .

TY  - JOUR
AU  - Šetrajčić, Jovan P.
AU  - Ilić, Dušan I.
AU  - Jaćimovski, Stevo
PY  - 2018
UR  - http://jakov.kpu.edu.rs/handle/123456789/836
AB  - In this paper, we have analytically investigated how the changes in boundary surface parameters influence the phonon dispersion law in ultrathin films of the simple cubic crystalline structure. Spectra of possible phonon states are analyzed using the method of two-time dependent Green's functions and for the diverse combination of boundary surface parameters, this problem was presented numerically and graphically. It turns out that for certain values and combinations of parameters, displacement of dispersion branches outside of bulk zone occurs, leading to the creation of localized phonon states. This fact is of great importance for the heat removal, electrical conductivity and superconducting properties of ultrathin films.
PB  - Elsevier Science Bv, Amsterdam
T2  - Physica a-statistical mechanics and its applications
T1  - The influence of the surface parameter changes onto the phonon states in ultrathin crystalline films
VL  - 496
SP  - 434
EP  - 445
DO  - 10.1016/j.physa.2017.12.138
ER  - 

@article{
author = "Šetrajčić, Jovan P. and Ilić, Dušan I. and Jaćimovski, Stevo",
year = "2018",
abstract = "In this paper, we have analytically investigated how the changes in boundary surface parameters influence the phonon dispersion law in ultrathin films of the simple cubic crystalline structure. Spectra of possible phonon states are analyzed using the method of two-time dependent Green's functions and for the diverse combination of boundary surface parameters, this problem was presented numerically and graphically. It turns out that for certain values and combinations of parameters, displacement of dispersion branches outside of bulk zone occurs, leading to the creation of localized phonon states. This fact is of great importance for the heat removal, electrical conductivity and superconducting properties of ultrathin films.",
publisher = "Elsevier Science Bv, Amsterdam",
journal = "Physica a-statistical mechanics and its applications",
title = "The influence of the surface parameter changes onto the phonon states in ultrathin crystalline films",
volume = "496",
pages = "434-445",
doi = "10.1016/j.physa.2017.12.138"
}

Šetrajčić, J. P., Ilić, D. I.,& Jaćimovski, S.. (2018). The influence of the surface parameter changes onto the phonon states in ultrathin crystalline films. in Physica a-statistical mechanics and its applications
Elsevier Science Bv, Amsterdam., 496, 434-445.
https://doi.org/10.1016/j.physa.2017.12.138

Šetrajčić JP, Ilić DI, Jaćimovski S. The influence of the surface parameter changes onto the phonon states in ultrathin crystalline films. in Physica a-statistical mechanics and its applications. 2018;496:434-445.
doi:10.1016/j.physa.2017.12.138 .

Šetrajčić, Jovan P., Ilić, Dušan I., Jaćimovski, Stevo, "The influence of the surface parameter changes onto the phonon states in ultrathin crystalline films" in Physica a-statistical mechanics and its applications, 496 (2018):434-445,
https://doi.org/10.1016/j.physa.2017.12.138 . .

TY  - JOUR
AU  - Šetrajčić, Jovan P.
AU  - Jaćimovski, Stevo
AU  - Ilić, Dušan I.
PY  - 2017
UR  - http://jakov.kpu.edu.rs/handle/123456789/770
AB  - Instead of usual approach, applying displacement-displacement Green’s functions, the momentum-momentum Green’s functions will be used to calculate the diffusion tensor. These functions enter into Kubo’s formula defining diffusion properties of the system. Calculation of the diffusion tensor requires solving of the system of difference equations. It is shown that the elements of the diffusion tensor express discrete behaviour of the dispersion law of elementary excitations and, more important - that they are temperature independent.
AB  - Umesto uobičajenog pristupa, primenom Grinovih funkcija tipa pomeraj-pomeraj, tenzor difuzije izračunat je primenom Grinovih funkcija tipa impuls-impuls. Ove funkcije figurišu u Kubo formuli koja definiše difuzione osobine sistema. Izračunavanje tenzora difuzije zahteva rešavanje sistema diferencnih jednačina. U radu je pokazano da elementi tenzora difuzije ukazuju na diskretnost zakona disperzije elementarnih pobuđenja, i - što je još značajnije - ne zavise od temperature. Rezultati sprovedenih izračunavanja pokazali su da je tenzor difuzije fononskog podsistema u kristalnim strukturama dijagonalan i da svojstvene vrednosti imaju više vrednosti pri nižim frekvencijama. Navedeni zaključci su od velikog značaja, jer potvrđuju makroskopske teorije toplotnog provođenja koje tvrde da je koeficijent difuzije temperaturski invarijatan. Ova činjenica, kao i posledice koji iz nje mogu proizaći, imaju ogroman potencijalni značaj za primenu fononskog inženjeringa, prvenstveno kod savremenih nanostruktura.
PB  - Kriminalističko- policijska akademija, Beograd
T2  - Nauka, bezbednost, policija
T1  - Process of phonon diffusion through crystalline structures
T1  - Proces difuzije fonona kroz kristalne strukture
VL  - 22
IS  - 2
SP  - 1
EP  - 12
DO  - 10.5937/nabepo22-13580
ER  - 

@article{
author = "Šetrajčić, Jovan P. and Jaćimovski, Stevo and Ilić, Dušan I.",
year = "2017",
abstract = "Instead of usual approach, applying displacement-displacement Green’s functions, the momentum-momentum Green’s functions will be used to calculate the diffusion tensor. These functions enter into Kubo’s formula defining diffusion properties of the system. Calculation of the diffusion tensor requires solving of the system of difference equations. It is shown that the elements of the diffusion tensor express discrete behaviour of the dispersion law of elementary excitations and, more important - that they are temperature independent., Umesto uobičajenog pristupa, primenom Grinovih funkcija tipa pomeraj-pomeraj, tenzor difuzije izračunat je primenom Grinovih funkcija tipa impuls-impuls. Ove funkcije figurišu u Kubo formuli koja definiše difuzione osobine sistema. Izračunavanje tenzora difuzije zahteva rešavanje sistema diferencnih jednačina. U radu je pokazano da elementi tenzora difuzije ukazuju na diskretnost zakona disperzije elementarnih pobuđenja, i - što je još značajnije - ne zavise od temperature. Rezultati sprovedenih izračunavanja pokazali su da je tenzor difuzije fononskog podsistema u kristalnim strukturama dijagonalan i da svojstvene vrednosti imaju više vrednosti pri nižim frekvencijama. Navedeni zaključci su od velikog značaja, jer potvrđuju makroskopske teorije toplotnog provođenja koje tvrde da je koeficijent difuzije temperaturski invarijatan. Ova činjenica, kao i posledice koji iz nje mogu proizaći, imaju ogroman potencijalni značaj za primenu fononskog inženjeringa, prvenstveno kod savremenih nanostruktura.",
publisher = "Kriminalističko- policijska akademija, Beograd",
journal = "Nauka, bezbednost, policija",
title = "Process of phonon diffusion through crystalline structures, Proces difuzije fonona kroz kristalne strukture",
volume = "22",
number = "2",
pages = "1-12",
doi = "10.5937/nabepo22-13580"
}

Šetrajčić, J. P., Jaćimovski, S.,& Ilić, D. I.. (2017). Process of phonon diffusion through crystalline structures. in Nauka, bezbednost, policija
Kriminalističko- policijska akademija, Beograd., 22(2), 1-12.
https://doi.org/10.5937/nabepo22-13580

Šetrajčić JP, Jaćimovski S, Ilić DI. Process of phonon diffusion through crystalline structures. in Nauka, bezbednost, policija. 2017;22(2):1-12.
doi:10.5937/nabepo22-13580 .

Šetrajčić, Jovan P., Jaćimovski, Stevo, Ilić, Dušan I., "Process of phonon diffusion through crystalline structures" in Nauka, bezbednost, policija, 22, no. 2 (2017):1-12,
https://doi.org/10.5937/nabepo22-13580 . .

TY  - JOUR
AU  - Šetrajčić, Jovan P.
AU  - Mirjanić, D. Lj
AU  - Vučenović, Siniša M.
AU  - Ilić, Dušan I.
AU  - Markoski, Branko
AU  - Jaćimovski, Stevo
AU  - Sajfert, Vjekoslav D.
AU  - Zorić, Vojkan M.
PY  - 2009
UR  - http://jakov.kpu.edu.rs/handle/123456789/270
AB  - Spectra of possible phonon states, as well as thermodynamic characteristics of nanocrystals (ultrathin film and quantum wire) of simple cubic crystalline structure are analyzed in this paper, using the method of two-time dependent Green functions. From energy spectra and internal energy of the system the thermal capacitance of these structures in low temperature region is found. The temperature behavior of specific heat is compared to that of corresponding bulk structure. It is shown that at extremely low temperatures thermal capacitance of quantum wire is considerably lower than the thermal capacitance 4 film as well as the bulk sample. Consequences of this fact are discussed in detail and its influence to thermodynamic properties of materials is estimated.
PB  - Polish Acad Sciences Inst Physics, Warsaw
T2  - Acta physica polonica A
T1  - Phonon Contribution in Thermodynamics of Nano-Crystalline Films and Wires
VL  - 115
IS  - 4
SP  - 778
EP  - 782
DO  - 10.12693/APhysPolA.115.778
ER  - 

@article{
author = "Šetrajčić, Jovan P. and Mirjanić, D. Lj and Vučenović, Siniša M. and Ilić, Dušan I. and Markoski, Branko and Jaćimovski, Stevo and Sajfert, Vjekoslav D. and Zorić, Vojkan M.",
year = "2009",
abstract = "Spectra of possible phonon states, as well as thermodynamic characteristics of nanocrystals (ultrathin film and quantum wire) of simple cubic crystalline structure are analyzed in this paper, using the method of two-time dependent Green functions. From energy spectra and internal energy of the system the thermal capacitance of these structures in low temperature region is found. The temperature behavior of specific heat is compared to that of corresponding bulk structure. It is shown that at extremely low temperatures thermal capacitance of quantum wire is considerably lower than the thermal capacitance 4 film as well as the bulk sample. Consequences of this fact are discussed in detail and its influence to thermodynamic properties of materials is estimated.",
publisher = "Polish Acad Sciences Inst Physics, Warsaw",
journal = "Acta physica polonica A",
title = "Phonon Contribution in Thermodynamics of Nano-Crystalline Films and Wires",
volume = "115",
number = "4",
pages = "778-782",
doi = "10.12693/APhysPolA.115.778"
}

Šetrajčić, J. P., Mirjanić, D. L., Vučenović, S. M., Ilić, D. I., Markoski, B., Jaćimovski, S., Sajfert, V. D.,& Zorić, V. M.. (2009). Phonon Contribution in Thermodynamics of Nano-Crystalline Films and Wires. in Acta physica polonica A
Polish Acad Sciences Inst Physics, Warsaw., 115(4), 778-782.
https://doi.org/10.12693/APhysPolA.115.778

Šetrajčić JP, Mirjanić DL, Vučenović SM, Ilić DI, Markoski B, Jaćimovski S, Sajfert VD, Zorić VM. Phonon Contribution in Thermodynamics of Nano-Crystalline Films and Wires. in Acta physica polonica A. 2009;115(4):778-782.
doi:10.12693/APhysPolA.115.778 .

Šetrajčić, Jovan P., Mirjanić, D. Lj, Vučenović, Siniša M., Ilić, Dušan I., Markoski, Branko, Jaćimovski, Stevo, Sajfert, Vjekoslav D., Zorić, Vojkan M., "Phonon Contribution in Thermodynamics of Nano-Crystalline Films and Wires" in Acta physica polonica A, 115, no. 4 (2009):778-782,
https://doi.org/10.12693/APhysPolA.115.778 . .