TY  - JOUR
AU  - Johnson, Erik
AU  - Andersen, Jacob S.
AU  - Levinsen, Mogens
AU  - Steenstrup, Stig
AU  - Prokofjev, Sergei
AU  - Zhilin, Victor
AU  - Dahmen, Ulrich
AU  - Radetić, Tamara
AU  - Turner, John H.
PY  - 2004
UR  - http://TechnoRep.tmf.bg.ac.rs/handle/123456789/7284
AB  - Transmission electron microscopy has been used to study the behavior of liquid nanosized Pb inclusions in Al ribbons made by rapid solidification. In situ heating experiments carried out in the temperature range from around 375 to 450 °C have shown that liquid inclusions with sizes from around 10–50 nm, that are trapped on dislocations, perform random vibrations around their positions of attachment with vibration periods of some fractions of seconds. The amplitudes of the vibrations in directions perpendicular to the dislocations are a few nanometers, while the motion in directions parallel to the dislocations can be more than an order of magnitude larger. Under conditions where two or more inclusions, attached to a dislocation line, display one-dimensional random motion the inclusions are rarely seen to coalesce. Movement of the inclusions has been monitored by video and shorter sequences have been digitized and analyzed frame-by-frame. The analysis shows that the step lengths have Gaussian distributions indicative of random walks. Fractal analysis of the paths shows that the fractal dimension is close to two which agrees well with the observations that the inclusions carry out linear random walks in a confined space.
PB  - Elsevier B.V.
T2  - Materials Science and Engineering: A
T1  - Random vibration movements of liquid nanosized Pb inclusions in Al
EP  - 955
IS  - 1-2 SPEC. ISS.
SP  - 951
VL  - 375-377
DO  - 10.1016/j.msea.2003.10.076
ER  - 

@article{
author = "Johnson, Erik and Andersen, Jacob S. and Levinsen, Mogens and Steenstrup, Stig and Prokofjev, Sergei and Zhilin, Victor and Dahmen, Ulrich and Radetić, Tamara and Turner, John H.",
year = "2004",
abstract = "Transmission electron microscopy has been used to study the behavior of liquid nanosized Pb inclusions in Al ribbons made by rapid solidification. In situ heating experiments carried out in the temperature range from around 375 to 450 °C have shown that liquid inclusions with sizes from around 10–50 nm, that are trapped on dislocations, perform random vibrations around their positions of attachment with vibration periods of some fractions of seconds. The amplitudes of the vibrations in directions perpendicular to the dislocations are a few nanometers, while the motion in directions parallel to the dislocations can be more than an order of magnitude larger. Under conditions where two or more inclusions, attached to a dislocation line, display one-dimensional random motion the inclusions are rarely seen to coalesce. Movement of the inclusions has been monitored by video and shorter sequences have been digitized and analyzed frame-by-frame. The analysis shows that the step lengths have Gaussian distributions indicative of random walks. Fractal analysis of the paths shows that the fractal dimension is close to two which agrees well with the observations that the inclusions carry out linear random walks in a confined space.",
publisher = "Elsevier B.V.",
journal = "Materials Science and Engineering: A",
title = "Random vibration movements of liquid nanosized Pb inclusions in Al",
pages = "955-951",
number = "1-2 SPEC. ISS.",
volume = "375-377",
doi = "10.1016/j.msea.2003.10.076"
}

Johnson, E., Andersen, J. S., Levinsen, M., Steenstrup, S., Prokofjev, S., Zhilin, V., Dahmen, U., Radetić, T.,& Turner, J. H.. (2004). Random vibration movements of liquid nanosized Pb inclusions in Al. in Materials Science and Engineering: A
Elsevier B.V.., 375-377(1-2 SPEC. ISS.), 951-955.
https://doi.org/10.1016/j.msea.2003.10.076

Johnson E, Andersen JS, Levinsen M, Steenstrup S, Prokofjev S, Zhilin V, Dahmen U, Radetić T, Turner JH. Random vibration movements of liquid nanosized Pb inclusions in Al. in Materials Science and Engineering: A. 2004;375-377(1-2 SPEC. ISS.):951-955.
doi:10.1016/j.msea.2003.10.076 .

Johnson, Erik, Andersen, Jacob S., Levinsen, Mogens, Steenstrup, Stig, Prokofjev, Sergei, Zhilin, Victor, Dahmen, Ulrich, Radetić, Tamara, Turner, John H., "Random vibration movements of liquid nanosized Pb inclusions in Al" in Materials Science and Engineering: A, 375-377, no. 1-2 SPEC. ISS. (2004):951-955,
https://doi.org/10.1016/j.msea.2003.10.076 . .

TY  - JOUR
AU  - Johnson, Erik
AU  - Levinsen, Mogens T.
AU  - Steenstrup, Stig
AU  - Prokofjev, Sergei
AU  - Zhilin, Victor
AU  - Dahmen, Ulrich
AU  - Radetić, Tamara
PY  - 2004
UR  - http://TechnoRep.tmf.bg.ac.rs/handle/123456789/7275
AB  - Migration of nanosized liquid Pb inclusions attached to dislocations in Al
has been observed during in-situ transmission electron microscopy heating
experiments and monitored by real-time video recordings. The movements of
the inclusions can be separated into two independent components parallel to
and perpendicular to the dislocations respectively. Movements parallel to the
dislocation lines display properties of partially confined one-dimensional random
walks where smaller inclusions can be seen to move over distances that are
many times their own sizes. In contrast, the trajectories perpendicular to the
dislocation lines are within narrowly confined spaces. Frame-by-frame analysis
of digitized video sequences recorded at different temperatures for the same
inclusion attached to a nearly horizontal dislocation illustrates the two types
of movement. The step lengths parallel to the dislocation increase rapidly
with increasing temperature while the step lengths in the transverse movement
only display a weak temperature dependence. A detailed statistical analysis
of the inclusion trajectories documents that both patterns of movement are
random. The activation enthalpy of the one-dimensional movement parallel
to the dislocation was found to be 2.72   0.10 eV at lower temperatures
and 1.44   0.07 eV at higher temperatures with a transition temperature around
650–660 K
PB  - Taylor & Francis
T2  - Philosophical Magazine
T1  - One-dimensional random walk of nanosized liquid Pb inclusions on dislocations in Al
EP  - 2673
IS  - 25-26
SP  - 2663
VL  - 84
DO  - 10.1080/14786430410001671412
ER  - 

@article{
author = "Johnson, Erik and Levinsen, Mogens T. and Steenstrup, Stig and Prokofjev, Sergei and Zhilin, Victor and Dahmen, Ulrich and Radetić, Tamara",
year = "2004",
abstract = "Migration of nanosized liquid Pb inclusions attached to dislocations in Al
has been observed during in-situ transmission electron microscopy heating
experiments and monitored by real-time video recordings. The movements of
the inclusions can be separated into two independent components parallel to
and perpendicular to the dislocations respectively. Movements parallel to the
dislocation lines display properties of partially confined one-dimensional random
walks where smaller inclusions can be seen to move over distances that are
many times their own sizes. In contrast, the trajectories perpendicular to the
dislocation lines are within narrowly confined spaces. Frame-by-frame analysis
of digitized video sequences recorded at different temperatures for the same
inclusion attached to a nearly horizontal dislocation illustrates the two types
of movement. The step lengths parallel to the dislocation increase rapidly
with increasing temperature while the step lengths in the transverse movement
only display a weak temperature dependence. A detailed statistical analysis
of the inclusion trajectories documents that both patterns of movement are
random. The activation enthalpy of the one-dimensional movement parallel
to the dislocation was found to be 2.72   0.10 eV at lower temperatures
and 1.44   0.07 eV at higher temperatures with a transition temperature around
650–660 K",
publisher = "Taylor & Francis",
journal = "Philosophical Magazine",
title = "One-dimensional random walk of nanosized liquid Pb inclusions on dislocations in Al",
pages = "2673-2663",
number = "25-26",
volume = "84",
doi = "10.1080/14786430410001671412"
}

Johnson, E., Levinsen, M. T., Steenstrup, S., Prokofjev, S., Zhilin, V., Dahmen, U.,& Radetić, T.. (2004). One-dimensional random walk of nanosized liquid Pb inclusions on dislocations in Al. in Philosophical Magazine
Taylor & Francis., 84(25-26), 2663-2673.
https://doi.org/10.1080/14786430410001671412

Johnson E, Levinsen MT, Steenstrup S, Prokofjev S, Zhilin V, Dahmen U, Radetić T. One-dimensional random walk of nanosized liquid Pb inclusions on dislocations in Al. in Philosophical Magazine. 2004;84(25-26):2663-2673.
doi:10.1080/14786430410001671412 .

Johnson, Erik, Levinsen, Mogens T., Steenstrup, Stig, Prokofjev, Sergei, Zhilin, Victor, Dahmen, Ulrich, Radetić, Tamara, "One-dimensional random walk of nanosized liquid Pb inclusions on dislocations in Al" in Philosophical Magazine, 84, no. 25-26 (2004):2663-2673,
https://doi.org/10.1080/14786430410001671412 . .