TY  - JOUR
AU  - Ćosić, Marko
AU  - Petrović, Srđan M.
AU  - Bellucci, Stefano
PY  - 2020
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9675
AB  - This is a study of proton transmission through planar channels of tungsten, where a proton beam is treated as an ensemble of noninteracting wave packets. For this system, the structural stability manifests in an appearance of caustic lines, and as an equivalence of self-interference produced waveforms with canonical diffraction patterns. We will show that coordination between particle self-interference is an additional manifestation of the structural stability existing only in ensembles. The main focus of the analysis was on the ability of the coordination to produce classical structures. We have found that the structures produced by the self-interference are organized in a very different manner. The coordination can enhance or suppress the quantum aspects of the dynamics. This behavior is explained by distributions of inflection, undulation, and singular points of the ensemble phase function, and their bifurcations. We have shown that the coordination has a topological origin which allows classical and quantum levels of reality to exist simultaneously. The classical behavior of the ensemble emerges out of the quantum dynamics without a need for reduction of the quantum to the classical laws of motion.
T2  - Scientific Reports
T1  - Coordinated self-interference of wave packets: a new route towards classicality for structurally stable systems
VL  - 10
IS  - 1
SP  - 16949
DO  - 10.1038/s41598-020-72965-w
ER  - 

@article{
author = "Ćosić, Marko and Petrović, Srđan M. and Bellucci, Stefano",
year = "2020",
abstract = "This is a study of proton transmission through planar channels of tungsten, where a proton beam is treated as an ensemble of noninteracting wave packets. For this system, the structural stability manifests in an appearance of caustic lines, and as an equivalence of self-interference produced waveforms with canonical diffraction patterns. We will show that coordination between particle self-interference is an additional manifestation of the structural stability existing only in ensembles. The main focus of the analysis was on the ability of the coordination to produce classical structures. We have found that the structures produced by the self-interference are organized in a very different manner. The coordination can enhance or suppress the quantum aspects of the dynamics. This behavior is explained by distributions of inflection, undulation, and singular points of the ensemble phase function, and their bifurcations. We have shown that the coordination has a topological origin which allows classical and quantum levels of reality to exist simultaneously. The classical behavior of the ensemble emerges out of the quantum dynamics without a need for reduction of the quantum to the classical laws of motion.",
journal = "Scientific Reports",
title = "Coordinated self-interference of wave packets: a new route towards classicality for structurally stable systems",
volume = "10",
number = "1",
pages = "16949",
doi = "10.1038/s41598-020-72965-w"
}

Ćosić, M., Petrović, S. M.,& Bellucci, S.. (2020). Coordinated self-interference of wave packets: a new route towards classicality for structurally stable systems. in Scientific Reports, 10(1), 16949.
https://doi.org/10.1038/s41598-020-72965-w

Ćosić M, Petrović SM, Bellucci S. Coordinated self-interference of wave packets: a new route towards classicality for structurally stable systems. in Scientific Reports. 2020;10(1):16949.
doi:10.1038/s41598-020-72965-w .

Ćosić, Marko, Petrović, Srđan M., Bellucci, Stefano, "Coordinated self-interference of wave packets: a new route towards classicality for structurally stable systems" in Scientific Reports, 10, no. 1 (2020):16949,
https://doi.org/10.1038/s41598-020-72965-w . .

TY  - JOUR
AU  - Ćosić, Marko
AU  - Petrović, Srđan M.
AU  - Bellucci, Stefano
PY  - 2020
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9680
AB  - We have investigated the dynamics of a quantum particle in the optical lattice potential. Initially, the quantum particle was represented by a Gaussian wave packet, located in the center of the well. The corresponding Schrödinger equation was solved explicitly by the method of the Chebyshev global propagation. Obtained solutions were also used for the construction of the Wigner functions. We found a great number of local abrupt changes of the solution shape. To explain this behavior, we used the fact that structurally stable systems, which form the largest class of the low dimensional dynamical systems, can be modeled and classified according to the catastrophe theory. All important features of the exact solution were explained on the basis of the mathematical properties of the catastrophic model. Such an approach enabled us to extract relevant information out of numerical solutions without employing any kind of approximations. We have investigated the influence of the Wigner catastrophes on the details of the quantum-classical correspondence breakdown. The wave packet was found to expand rapidly, filling the whole classically available area of the phase space. It was found that its self-interference pattern saturates quickly. A region of the phase space emerges in which the Wigner function oscillations transform into the singularity driven fluctuations. Once this region covers the whole area of the phase space, a wave packet dynamics enters into the new regime where its Wigner function fluctuates around the ergodic average. It will be shown that all mentioned processes are caused by the proliferation of the catastrophes and their mutual interactions
T2  - Chaos
T1  - On the phase-space catastrophes in dynamics of the quantum particle in an optical lattice potential
VL  - 30
IS  - 10
SP  - 103107
DO  - 10.1063/1.5140528
ER  - 

@article{
author = "Ćosić, Marko and Petrović, Srđan M. and Bellucci, Stefano",
year = "2020",
abstract = "We have investigated the dynamics of a quantum particle in the optical lattice potential. Initially, the quantum particle was represented by a Gaussian wave packet, located in the center of the well. The corresponding Schrödinger equation was solved explicitly by the method of the Chebyshev global propagation. Obtained solutions were also used for the construction of the Wigner functions. We found a great number of local abrupt changes of the solution shape. To explain this behavior, we used the fact that structurally stable systems, which form the largest class of the low dimensional dynamical systems, can be modeled and classified according to the catastrophe theory. All important features of the exact solution were explained on the basis of the mathematical properties of the catastrophic model. Such an approach enabled us to extract relevant information out of numerical solutions without employing any kind of approximations. We have investigated the influence of the Wigner catastrophes on the details of the quantum-classical correspondence breakdown. The wave packet was found to expand rapidly, filling the whole classically available area of the phase space. It was found that its self-interference pattern saturates quickly. A region of the phase space emerges in which the Wigner function oscillations transform into the singularity driven fluctuations. Once this region covers the whole area of the phase space, a wave packet dynamics enters into the new regime where its Wigner function fluctuates around the ergodic average. It will be shown that all mentioned processes are caused by the proliferation of the catastrophes and their mutual interactions",
journal = "Chaos",
title = "On the phase-space catastrophes in dynamics of the quantum particle in an optical lattice potential",
volume = "30",
number = "10",
pages = "103107",
doi = "10.1063/1.5140528"
}

Ćosić, M., Petrović, S. M.,& Bellucci, S.. (2020). On the phase-space catastrophes in dynamics of the quantum particle in an optical lattice potential. in Chaos, 30(10), 103107.
https://doi.org/10.1063/1.5140528

Ćosić M, Petrović SM, Bellucci S. On the phase-space catastrophes in dynamics of the quantum particle in an optical lattice potential. in Chaos. 2020;30(10):103107.
doi:10.1063/1.5140528 .

Ćosić, Marko, Petrović, Srđan M., Bellucci, Stefano, "On the phase-space catastrophes in dynamics of the quantum particle in an optical lattice potential" in Chaos, 30, no. 10 (2020):103107,
https://doi.org/10.1063/1.5140528 . .

TY  - JOUR
AU  - Ćosić, Marko
AU  - Hadžijojić, Milivoje
AU  - Rymzhanov, Ruslan
AU  - Petrović, Srđan M.
AU  - Bellucci, Stefano
PY  - 2019
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/8022
AB  - The thermal motion of graphene atoms was investigated using angular distributions of transmitted protons. The static proton-graphene interaction potential was constructed applying the Doyle-Turner's expression for the proton-carbon interaction potential. The effects of atom thermal motion were incorporated by averaging the static proton-graphene interaction potential over the distribution of atom displacements. The covariance matrix of graphene displacements was modeled according to the Debye theory, and calculated using Molecular Dynamics approach. Proton trajectories were used for construction of angular yields. We have found that there are lines, called rainbows, along which the angular yield is very large. Their evolution in respect to different sample orientation was examined in detail. Further we found that atom thermal motion has negligible influence on rainbows generated by protons experiencing distant collisions with the carbon atoms forming the graphene hexagon. On the other hand, rainbows generated by protons experiencing close collisions with the carbon atoms can be modeled by ellipses whose parameters are very sensitive to the structure of the covariance matrix. Numerical procedure was developed for extraction of the covariance matrix from the corresponding rainbow patterns in the general case, when atoms perform fully anisotropic and correlated motion.
T2  - Carbon
T1  - Investigation of the graphene thermal motion by rainbow scattering
VL  - 145
SP  - 161
EP  - 174
DO  - 10.1016/j.carbon.2019.01.020
ER  - 

@article{
author = "Ćosić, Marko and Hadžijojić, Milivoje and Rymzhanov, Ruslan and Petrović, Srđan M. and Bellucci, Stefano",
year = "2019",
abstract = "The thermal motion of graphene atoms was investigated using angular distributions of transmitted protons. The static proton-graphene interaction potential was constructed applying the Doyle-Turner's expression for the proton-carbon interaction potential. The effects of atom thermal motion were incorporated by averaging the static proton-graphene interaction potential over the distribution of atom displacements. The covariance matrix of graphene displacements was modeled according to the Debye theory, and calculated using Molecular Dynamics approach. Proton trajectories were used for construction of angular yields. We have found that there are lines, called rainbows, along which the angular yield is very large. Their evolution in respect to different sample orientation was examined in detail. Further we found that atom thermal motion has negligible influence on rainbows generated by protons experiencing distant collisions with the carbon atoms forming the graphene hexagon. On the other hand, rainbows generated by protons experiencing close collisions with the carbon atoms can be modeled by ellipses whose parameters are very sensitive to the structure of the covariance matrix. Numerical procedure was developed for extraction of the covariance matrix from the corresponding rainbow patterns in the general case, when atoms perform fully anisotropic and correlated motion.",
journal = "Carbon",
title = "Investigation of the graphene thermal motion by rainbow scattering",
volume = "145",
pages = "161-174",
doi = "10.1016/j.carbon.2019.01.020"
}

Ćosić, M., Hadžijojić, M., Rymzhanov, R., Petrović, S. M.,& Bellucci, S.. (2019). Investigation of the graphene thermal motion by rainbow scattering. in Carbon, 145, 161-174.
https://doi.org/10.1016/j.carbon.2019.01.020

Ćosić M, Hadžijojić M, Rymzhanov R, Petrović SM, Bellucci S. Investigation of the graphene thermal motion by rainbow scattering. in Carbon. 2019;145:161-174.
doi:10.1016/j.carbon.2019.01.020 .

Ćosić, Marko, Hadžijojić, Milivoje, Rymzhanov, Ruslan, Petrović, Srđan M., Bellucci, Stefano, "Investigation of the graphene thermal motion by rainbow scattering" in Carbon, 145 (2019):161-174,
https://doi.org/10.1016/j.carbon.2019.01.020 . .

TY  - JOUR
AU  - Ćosić, Marko
AU  - Hadžijojić, Milivoje
AU  - Rymzhanov, Ruslan
AU  - Petrović, Srđan M.
AU  - Bellucci, Stefano
PY  - 2019
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/8031
AB  - The thermal motion of graphene atoms was investigated using angular distributions of transmitted protons. The static proton-graphene interaction potential was constructed applying the Doyle-Turner's expression for the proton-carbon interaction potential. The effects of atom thermal motion were incorporated by averaging the static proton-graphene interaction potential over the distribution of atom displacements. The covariance matrix of graphene displacements was modeled according to the Debye theory, and calculated using Molecular Dynamics approach. Proton trajectories were used for construction of angular yields. We have found that there are lines, called rainbows, along which the angular yield is very large. Their evolution in respect to different sample orientation was examined in detail. Further we found that atom thermal motion has negligible influence on rainbows generated by protons experiencing distant collisions with the carbon atoms forming the graphene hexagon. On the other hand, rainbows generated by protons experiencing close collisions with the carbon atoms can be modeled by ellipses whose parameters are very sensitive to the structure of the covariance matrix. Numerical procedure was developed for extraction of the covariance matrix from the corresponding rainbow patterns in the general case, when atoms perform fully anisotropic and correlated motion.
T2  - Carbon
T1  - Investigation of the graphene thermal motion by rainbow scattering
VL  - 145
SP  - 161
EP  - 174
DO  - 10.1016/j.carbon.2019.01.020
ER  - 

@article{
author = "Ćosić, Marko and Hadžijojić, Milivoje and Rymzhanov, Ruslan and Petrović, Srđan M. and Bellucci, Stefano",
year = "2019",
abstract = "The thermal motion of graphene atoms was investigated using angular distributions of transmitted protons. The static proton-graphene interaction potential was constructed applying the Doyle-Turner's expression for the proton-carbon interaction potential. The effects of atom thermal motion were incorporated by averaging the static proton-graphene interaction potential over the distribution of atom displacements. The covariance matrix of graphene displacements was modeled according to the Debye theory, and calculated using Molecular Dynamics approach. Proton trajectories were used for construction of angular yields. We have found that there are lines, called rainbows, along which the angular yield is very large. Their evolution in respect to different sample orientation was examined in detail. Further we found that atom thermal motion has negligible influence on rainbows generated by protons experiencing distant collisions with the carbon atoms forming the graphene hexagon. On the other hand, rainbows generated by protons experiencing close collisions with the carbon atoms can be modeled by ellipses whose parameters are very sensitive to the structure of the covariance matrix. Numerical procedure was developed for extraction of the covariance matrix from the corresponding rainbow patterns in the general case, when atoms perform fully anisotropic and correlated motion.",
journal = "Carbon",
title = "Investigation of the graphene thermal motion by rainbow scattering",
volume = "145",
pages = "161-174",
doi = "10.1016/j.carbon.2019.01.020"
}

Ćosić, M., Hadžijojić, M., Rymzhanov, R., Petrović, S. M.,& Bellucci, S.. (2019). Investigation of the graphene thermal motion by rainbow scattering. in Carbon, 145, 161-174.
https://doi.org/10.1016/j.carbon.2019.01.020

Ćosić M, Hadžijojić M, Rymzhanov R, Petrović SM, Bellucci S. Investigation of the graphene thermal motion by rainbow scattering. in Carbon. 2019;145:161-174.
doi:10.1016/j.carbon.2019.01.020 .

Ćosić, Marko, Hadžijojić, Milivoje, Rymzhanov, Ruslan, Petrović, Srđan M., Bellucci, Stefano, "Investigation of the graphene thermal motion by rainbow scattering" in Carbon, 145 (2019):161-174,
https://doi.org/10.1016/j.carbon.2019.01.020 . .

TY  - JOUR
AU  - Ćosić, Marko
AU  - Petrović, Srđan M.
AU  - Bellucci, Stefano
PY  - 2016
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/272
AB  - In this paper proton channeling through armchair single-walled-carbon-nanotubes (SWCNTs) with aligned Stone-Wales defects has been investigated. The energy of the proton beam was 1 GeV, while the lengths of the SWCNTs have been varied from 200 nm up to 1000 nm. The linear density of aligned defects has been varied in the whole range, from minimally up to maximally possible values. Here are presented results of a detailed morphological analysis concerning: the formation, evolution and interaction of the nanotube rainbows. The potential of the SWCNT has been constructed from Moleres expression of the Thomas-Fermis proton-carbon interaction-energy, using the approximation of the continuous atomic string. Trajectories of the channeled protons were obtained by solving the corresponding classical equations of motions. Distributions of the transmitted protons were obtained by the Monte-Carlo simulation. The shape of angular distributions has been explained in the framework of the theory of nanotube rainbows. The aim of this study is also to investigate the applicability of the proton rainbow channeling for the characterization of nanotubes with aligned Stone-Wales defects. (C) 2015 Elsevier B.V. All rights reserved.
T2  - Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms
T1  - Rainbow channeling of protons in very short carbon nanotubes with aligned Stone-Wales defects
VL  - 367
SP  - 37
EP  - 45
DO  - 10.1016/j.nimb.2015.11.018
ER  - 

@article{
author = "Ćosić, Marko and Petrović, Srđan M. and Bellucci, Stefano",
year = "2016",
abstract = "In this paper proton channeling through armchair single-walled-carbon-nanotubes (SWCNTs) with aligned Stone-Wales defects has been investigated. The energy of the proton beam was 1 GeV, while the lengths of the SWCNTs have been varied from 200 nm up to 1000 nm. The linear density of aligned defects has been varied in the whole range, from minimally up to maximally possible values. Here are presented results of a detailed morphological analysis concerning: the formation, evolution and interaction of the nanotube rainbows. The potential of the SWCNT has been constructed from Moleres expression of the Thomas-Fermis proton-carbon interaction-energy, using the approximation of the continuous atomic string. Trajectories of the channeled protons were obtained by solving the corresponding classical equations of motions. Distributions of the transmitted protons were obtained by the Monte-Carlo simulation. The shape of angular distributions has been explained in the framework of the theory of nanotube rainbows. The aim of this study is also to investigate the applicability of the proton rainbow channeling for the characterization of nanotubes with aligned Stone-Wales defects. (C) 2015 Elsevier B.V. All rights reserved.",
journal = "Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms",
title = "Rainbow channeling of protons in very short carbon nanotubes with aligned Stone-Wales defects",
volume = "367",
pages = "37-45",
doi = "10.1016/j.nimb.2015.11.018"
}

Ćosić, M., Petrović, S. M.,& Bellucci, S.. (2016). Rainbow channeling of protons in very short carbon nanotubes with aligned Stone-Wales defects. in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms, 367, 37-45.
https://doi.org/10.1016/j.nimb.2015.11.018

Ćosić M, Petrović SM, Bellucci S. Rainbow channeling of protons in very short carbon nanotubes with aligned Stone-Wales defects. in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms. 2016;367:37-45.
doi:10.1016/j.nimb.2015.11.018 .

Ćosić, Marko, Petrović, Srđan M., Bellucci, Stefano, "Rainbow channeling of protons in very short carbon nanotubes with aligned Stone-Wales defects" in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms, 367 (2016):37-45,
https://doi.org/10.1016/j.nimb.2015.11.018 . .

TY  - JOUR
AU  - Bellucci, Stefano
AU  - Chesnokov, Yu. A.
AU  - Chirkov, P. N.
AU  - Ćosić, Marko
AU  - Giannini, Gianrossano
AU  - Maisheev, Vladimir A.
AU  - Petrović, Srđan M.
AU  - Yazynin, Igor A.
PY  - 2014
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/5892
AB  - The phenomenon of the deflection of a charged particle beam due to channeling in a bent crystal is thoroughly investigated and successfully applied for the extraction of the beam in high-energy accelerators, at the energies of about 10 GeV and higher. However, a big practical interest lies in the task of bending and extracting charged particles with energies below 1 GeV, for example, for the production of ultrastable beams of low emittance for medical and biological applications. That is why a novel crystal technique, namely thin straight crystal targets, is investigated in this article, using crystals as elements for extraction and collimation of the circulating beam in a ring accelerator. The advantages of reflection in straight crystals in comparison with bent crystal channeling consist in the small length of straight crystals along the beam that reduces the amount of nuclear interactions and improves the background. Experimental results were obtained for the bending of a 100 MeV positron beam with using five sequential straight crystals.
T2  - JETP Letters / Journal of Theoretical and Experimental Physics
T1  - Deflection of a 100-MeV positron beam by repeated reflections in thin crystals
VL  - 98
IS  - 11
SP  - 649
EP  - 651
DO  - 10.1134/S0021364013240041
ER  - 

@article{
author = "Bellucci, Stefano and Chesnokov, Yu. A. and Chirkov, P. N. and Ćosić, Marko and Giannini, Gianrossano and Maisheev, Vladimir A. and Petrović, Srđan M. and Yazynin, Igor A.",
year = "2014",
abstract = "The phenomenon of the deflection of a charged particle beam due to channeling in a bent crystal is thoroughly investigated and successfully applied for the extraction of the beam in high-energy accelerators, at the energies of about 10 GeV and higher. However, a big practical interest lies in the task of bending and extracting charged particles with energies below 1 GeV, for example, for the production of ultrastable beams of low emittance for medical and biological applications. That is why a novel crystal technique, namely thin straight crystal targets, is investigated in this article, using crystals as elements for extraction and collimation of the circulating beam in a ring accelerator. The advantages of reflection in straight crystals in comparison with bent crystal channeling consist in the small length of straight crystals along the beam that reduces the amount of nuclear interactions and improves the background. Experimental results were obtained for the bending of a 100 MeV positron beam with using five sequential straight crystals.",
journal = "JETP Letters / Journal of Theoretical and Experimental Physics",
title = "Deflection of a 100-MeV positron beam by repeated reflections in thin crystals",
volume = "98",
number = "11",
pages = "649-651",
doi = "10.1134/S0021364013240041"
}

Bellucci, S., Chesnokov, Yu. A., Chirkov, P. N., Ćosić, M., Giannini, G., Maisheev, V. A., Petrović, S. M.,& Yazynin, I. A.. (2014). Deflection of a 100-MeV positron beam by repeated reflections in thin crystals. in JETP Letters / Journal of Theoretical and Experimental Physics, 98(11), 649-651.
https://doi.org/10.1134/S0021364013240041

Bellucci S, Chesnokov YA, Chirkov PN, Ćosić M, Giannini G, Maisheev VA, Petrović SM, Yazynin IA. Deflection of a 100-MeV positron beam by repeated reflections in thin crystals. in JETP Letters / Journal of Theoretical and Experimental Physics. 2014;98(11):649-651.
doi:10.1134/S0021364013240041 .

Bellucci, Stefano, Chesnokov, Yu. A., Chirkov, P. N., Ćosić, Marko, Giannini, Gianrossano, Maisheev, Vladimir A., Petrović, Srđan M., Yazynin, Igor A., "Deflection of a 100-MeV positron beam by repeated reflections in thin crystals" in JETP Letters / Journal of Theoretical and Experimental Physics, 98, no. 11 (2014):649-651,
https://doi.org/10.1134/S0021364013240041 . .