Kree, Reiner

[["dc.bibliographiccitation.artnumber","193403"],["dc.bibliographiccitation.issue","19"],["dc.bibliographiccitation.journal","PHYSICAL REVIEW B"],["dc.bibliographiccitation.volume","65"],["dc.contributor.author","Hartmann, Alexander K."],["dc.contributor.author","Kree, Reiner"],["dc.contributor.author","Geyer, U."],["dc.contributor.author","Kolbel, M."],["dc.date.accessioned","2018-11-07T10:29:51Z"],["dc.date.available","2018-11-07T10:29:51Z"],["dc.date.issued","2002"],["dc.description.abstract","A simple (2+1)-dimensional discrete model is introduced to study the evolution of solid surface morphologies during ion beam sputtering. The model is based on the same assumptions about the erosion process as the existing analytic theories. Due to its simple structure, simulations of the model can be performed on time scales where effects beyond the linearized theory become important. Whereas for short times we observe the formation of ripple structures in accordance with the linearized theory, we find a roughening surface for intermediate times. The long-time behavior of the model strongly depends on the surface relaxation mechanism."],["dc.identifier.doi","10.1103/PhysRevB.65.193403"],["dc.identifier.isi","000175860900029"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/43732"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Amer Physical Soc"],["dc.relation.issn","1550-235X"],["dc.relation.issn","1098-0121"],["dc.title","Long-time effects in a simulation model of sputter erosion"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","2496"],["dc.bibliographiccitation.issue","16"],["dc.bibliographiccitation.journal","NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION B-BEAM INTERACTIONS WITH MATERIALS AND ATOMS"],["dc.bibliographiccitation.lastpage","2503"],["dc.bibliographiccitation.volume","268"],["dc.contributor.author","Yasseri, Taha"],["dc.contributor.author","Kree, Reiner"],["dc.date.accessioned","2018-11-07T08:40:22Z"],["dc.date.available","2018-11-07T08:40:22Z"],["dc.date.issued","2010"],["dc.description.abstract","Several, recently proposed methods of surface manufacturing based on ion beam sputtering, which involve dual beam setups, sequential application of ion beams from different directions, or sample rotation, are studied with the method of kinetic Monte Carlo simulation of ion-beam erosion and surface diffusion. In this work, we only consider erosion dominated situations. The results are discussed by comparing them to a number of theoretical propositions and to experimental findings. Two ion-beams aligned opposite to each other produce stationary, symmetric ripples. Two ion beams crossing at right angle will produce square patterns only, if they are exactly balanced. In all other cases of crossed beams, ripple patterns are created, and their orientations are shown to be predictable from linear continuum theory. In sequential ion-beam sputtering we find a very rapid destruction of structures created from the previous beam direction after a rotation step, which leads to a transient decrease of overall roughness. Superpositions of patterns from several rotation steps are difficult to obtain, as they exist only in very short time windows. In setups with a single beam directed towards a rotating sample, we find a non-monotonic dependence of roughness on rotation frequency, with a very pronounced minimum appearing at the frequency scale set by the relaxation of prestructures observed in sequential ion-beam setups. Furthermore we find that the logarithm of the height of structures decreases proportional to the inverse frequency. (C) 2010 Elsevier B.V. All rights reserved."],["dc.identifier.doi","10.1016/j.nimb.2010.05.062"],["dc.identifier.isi","000280602500005"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/19218"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Elsevier Science Bv"],["dc.relation.issn","1872-9584"],["dc.relation.issn","0168-583X"],["dc.title","A Monte Carlo study of surface sputtering by dual and rotated ion beams"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","4179"],["dc.bibliographiccitation.issue","9"],["dc.bibliographiccitation.journal","Applied Surface Science"],["dc.bibliographiccitation.lastpage","4185"],["dc.bibliographiccitation.volume","258"],["dc.contributor.author","More, S. N."],["dc.contributor.author","Kree, Reiner"],["dc.date.accessioned","2018-11-07T09:13:26Z"],["dc.date.available","2018-11-07T09:13:26Z"],["dc.date.issued","2012"],["dc.description.abstract","Continuum theories of spontaneous pattern formation at solid surfaces during ion irradiation exist in many variants, but all of them are based upon low order gradient expansions of an underlying non-local theory and are formulated as partial differential equations. Here we reconsider the non-local theory based upon a simple Gaussian erosive crater function of Sigmund's theory of sputtering, which is also a basic ingredient of most of the existing continuum theories. We keep the full non-locality of the crater function in a linear stability analysis of a flat surface. Without gradient expansion the evolution of the height profile is governed by an integral equation. We show that low order gradient expansions may be misleading and that the bifurcation scenarios become significantly more complex, if the non-locality is taken into account. In a second step, we extend our analysis and include mass redistribution due to ion-induced drift currents of collision cascade atoms. The model is based upon results from kinetic theory and uses a simple phenomenology. Both erosion and mass redistribution share the same non-local features, as they are both caused by the collision cascade. If mass redistribution is the dominant pattern forming mechanism, we show that the resulting bifurcation scenarios may provide explanations for many of the recent, seemingly contradictory experimental results of pattern formation on Si surfaces. (C) 2011 Elsevier B. V. All rights reserved."],["dc.identifier.doi","10.1016/j.apsusc.2011.10.015"],["dc.identifier.isi","000300455200016"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/27174"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Elsevier Science Bv"],["dc.publisher.place","Amsterdam"],["dc.relation.eventlocation","Bhubaneswar, INDIA"],["dc.relation.issn","0169-4332"],["dc.title","Non-local linear stability of ion beam eroded surfaces"],["dc.type","conference_paper"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.issue","10"],["dc.bibliographiccitation.journal","The European Physical Journal E"],["dc.bibliographiccitation.volume","41"],["dc.contributor.author","Kree, R."],["dc.contributor.author","Zippelius, A."],["dc.date.accessioned","2020-12-10T18:37:33Z"],["dc.date.available","2020-12-10T18:37:33Z"],["dc.date.issued","2018"],["dc.identifier.doi","10.1140/epje/i2018-11729-1"],["dc.identifier.eissn","1292-895X"],["dc.identifier.issn","1292-8941"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/77007"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-354"],["dc.title","Self-propulsion of droplets driven by an active permeating gel"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.artnumber","035451"],["dc.bibliographiccitation.issue","3"],["dc.bibliographiccitation.journal","PHYSICAL REVIEW B"],["dc.bibliographiccitation.volume","84"],["dc.contributor.author","Lenius, Maria"],["dc.contributor.author","Kree, Reiner"],["dc.contributor.author","Volkert, Cynthia A."],["dc.date.accessioned","2018-11-07T08:54:10Z"],["dc.date.available","2018-11-07T08:54:10Z"],["dc.date.issued","2011"],["dc.description.abstract","The erosion profiles of Cu surfaces after focused ion beam sputtering have been investigated as a function of crystal orientation and ion beam incidence. We find that all patterns are aligned with crystallographic axes and have wavelengths of about 0.5 mu m. The patterns depend strongly on the crystal orientation, typically with similar patterns for neighboring orientations, but may also be influenced by the ion beam direction. For orientations close to {100}, we find however that surfaces stay smooth for all incidence angles. The results are discussed in the context of current continuum models and indicate that modifications to the models are required to account for the effect of crystal orientation."],["dc.identifier.doi","10.1103/PhysRevB.84.035451"],["dc.identifier.isi","000293304200020"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/22610"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Amer Physical Soc"],["dc.relation.issn","1098-0121"],["dc.title","Influence of crystal orientation on pattern formation of focused-ion-beam milled Cu surfaces"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.issue","1"],["dc.bibliographiccitation.journal","Biophysical Journal"],["dc.bibliographiccitation.volume","78"],["dc.contributor.author","Schultze, H."],["dc.contributor.author","Kree, Reiner"],["dc.date.accessioned","2018-11-07T11:01:45Z"],["dc.date.available","2018-11-07T11:01:45Z"],["dc.date.issued","2000"],["dc.format.extent","324A"],["dc.identifier.isi","000084779301897"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/51221"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Biophysical Society"],["dc.publisher.place","Bethesda"],["dc.relation.issn","0006-3495"],["dc.title","Influence of peripheral proteins on the main transition of lipid membranes"],["dc.type","conference_abstract"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.artnumber","051920"],["dc.bibliographiccitation.issue","5"],["dc.bibliographiccitation.journal","PHYSICAL REVIEW E"],["dc.bibliographiccitation.volume","65"],["dc.contributor.author","Kramer, S. C."],["dc.contributor.author","Kree, Reiner"],["dc.date.accessioned","2018-11-07T10:30:25Z"],["dc.date.available","2018-11-07T10:30:25Z"],["dc.date.issued","2002"],["dc.description.abstract","A model of mobile, charged ion channels in a fluid membrane is studied. The channels may switch between an open and a closed state according to a simple two-state kinetics with constant rates. The effective electrophoretic charge and the diffusion constant of the channels may be different in the closed and in the open state. The system is modeled by densities of channel species, obeying simple equations of electrodiffusion. The lateral transmembrane voltage profile is determined from a cable-type equation. Bifurcations from the homegeneous, stationary state appear as hard-mode, soft-mode. or hard-mode oscillatory transitions within physiologically reasonable ranges of model parameters. We Study the dynamics beyond linear stability analysis and derive nonlinear evolution equations near the transitions to stationary patterns."],["dc.identifier.doi","10.1103/PhysRevE.65.051920"],["dc.identifier.isi","000176552300097"],["dc.identifier.pmid","12059606"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/43864"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Amer Physical Soc"],["dc.relation.issn","2470-0053"],["dc.relation.issn","2470-0045"],["dc.title","Pattern formation of ion channels with state-dependent charges and diffusion constants in fluid membranes"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.artnumber","125407"],["dc.bibliographiccitation.issue","12"],["dc.bibliographiccitation.journal","PHYSICAL REVIEW B"],["dc.bibliographiccitation.volume","71"],["dc.contributor.author","Feix, M."],["dc.contributor.author","Hartmann, Alexander K."],["dc.contributor.author","Kree, Reiner"],["dc.contributor.author","Munoz-Garcia, J."],["dc.contributor.author","Cuerno, R."],["dc.date.accessioned","2018-11-07T11:21:29Z"],["dc.date.available","2018-11-07T11:21:29Z"],["dc.date.issued","2005"],["dc.description.abstract","Theoretical continuum models that describe the formation of patterns on surfaces of targets undergoing ion-beam sputtering are based on Sigmund's formula, which describes the spatial distribution of the energy deposited by the ion. For small angles of incidence and amorphous or polycrystalline materials, this description seems to be suitable, and leads to the classic Bradley and Harper (BH) morphological theory [R. M. Bradley and J. M. E. Harper,, J. Vac. Sci. Technol. A 6, 2390 (1988)]. Here we study the sputtering of Cu crystals by means of numerical simulations under the binary-collision approximation. We observe significant deviations from Sigmund's energy distribution. In particular, the distribution that best fits our simulations has a minimum near the position where the ion penetrates the surface, and the decay of energy deposition with distance to ion trajectory is exponential rather than Gaussian. We provide a modified continuum theory which takes these effects into account and explores the implications of the modified energy distribution for the surface morphology. In marked contrast with BH's theory, the dependence of the sputtering yield with the angle of incidence is nonmonotonous, with a maximum for nongrazing incidence angles."],["dc.identifier.doi","10.1103/PhysRevB.71.125407"],["dc.identifier.isi","000228923300122"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/55782"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","American Physical Soc"],["dc.relation.issn","1098-0121"],["dc.title","Influence of collision cascade statistics on pattern formation of ion-sputtered surfaces"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.artnumber","195405"],["dc.bibliographiccitation.issue","19"],["dc.bibliographiccitation.journal","PHYSICAL REVIEW B"],["dc.bibliographiccitation.volume","71"],["dc.contributor.author","Yewande, E. O."],["dc.contributor.author","Hartmann, Alexander K."],["dc.contributor.author","Kree, Reiner"],["dc.date.accessioned","2018-11-07T11:05:48Z"],["dc.date.available","2018-11-07T11:05:48Z"],["dc.date.issued","2005"],["dc.description.abstract","Periodic ripples generated from the off-normal-incidence ion-beam bombardment of solid surfaces have been observed to propagate with a dispersion in the velocity. We investigate this ripple behavior by means of a Monte Carlo model of the erosion process, in conjuction with one of two different surface-diffusion mechanisms, representative of two different classes of materials; one is a Arrhenius-type Monte Carlo method including a term (possibly zero) that accounts for the Schwoebel effect, while the other is a thermodynamic mechanism without the Schwoebel effect. We find that the behavior of the ripple velocity and wavelength depends on the sputtering time scale, which is qualitatively consistent with experiments. Futhermore, we observe a strong temperature dependance of the ripple velocity, calling for experiments at different temperatures. Also, we observe that the ripple velocity vanishes ahead of the periodic ripple pattern."],["dc.identifier.doi","10.1103/PhysRevB.71.195405"],["dc.identifier.isi","000230244100100"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/52148"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","American Physical Soc"],["dc.relation.issn","1098-0121"],["dc.title","Propagation of ripples in Monte Carlo models of sputter-induced surface morphology"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.artnumber","115434"],["dc.bibliographiccitation.issue","11"],["dc.bibliographiccitation.journal","PHYSICAL REVIEW B"],["dc.bibliographiccitation.volume","73"],["dc.contributor.author","Yewande, E. O."],["dc.contributor.author","Kree, Reiner"],["dc.contributor.author","Hartmann, Alexander K."],["dc.date.accessioned","2018-11-07T10:15:46Z"],["dc.date.available","2018-11-07T10:15:46Z"],["dc.date.issued","2006"],["dc.description.abstract","We study solid surface morphology created by off-normal ion-beam sputtering with an atomistic solid-on-solid model of sputter erosion. With respect to an earlier version of the model, we extend this model with the inclusion of lateral erosion. Using the two-dimensional structure factor, we found an upper bound mu similar or equal to 2, in the lateral straggle mu, for clear ripple formation. Above this upper bound, for longitudinal straggle sigma greater than or similar to 1.7, we found the possibility of dot formation (without sample rotation). Moreover, a temporal crossover from a hole topography to ripple topography with the same value of collision cascade parameters was found. Finally, a scaling analysis of the roughness, using the consecutive gradient approach, yields the growth exponents beta=0.33 and 0.67 for two different topographic regimes. The results are discussed in the context of the continuum theory."],["dc.identifier.doi","10.1103/PhysRevB.73.115434"],["dc.identifier.isi","000236467300154"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/40880"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Amer Physical Soc"],["dc.relation.issn","2469-9969"],["dc.relation.issn","2469-9950"],["dc.title","Morphological regions and oblique-incidence dot formation in a model of surface sputtering"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]