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Martin Kröger
Prof Dr rer nat habil

Simplicity is the ultimate sophistication
Leonardo da Vinci (1452-1519)

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21 selected entries

2024

Article   R. Schlickeiser, M. Kröger
Mathematics of Epidemics: On the General Solution of SIRVD, SIRV, SIRD and SIR Compartment Models
Mathematics 12 (2024) 941
   [DOI:10.3390/math12070941]
      Preprint   N. Herard, R. Annapooranan, T. Henry, M. Kröger, S. Cai, N. Boechler, Y. Sliozberg
Modeling liquid crystal elastomer synthesis, mechanics, and thermal actuation via coarse-grained molecular dynamics
Soft Matter (2024) submitted 3 May 2024
      Preprint   M. Carignano, M. Kröger, L. Almassalha, V. Agrawal, W.S. Li, E.M. Pujadas, R.J. Nap, V. Beckman, I. Szleifer
Local volume concentration, packing domains and scaling properties of chromatin
eLife (2024) arXiv:2310.02257 submitted 9 Jan 2024
      Preprint   N.A. Babei, M. Kröger, T. Özer
Dynamical Behavior of the SEIARM-COVID-19 related models
Physica D (2024) submitted 6 May 2024
Article   N.A. Babei, M. Kröger, T. Özer
Theoretical analysis of a SIRD model with constant amount of alive population and Covid–19 applications
Appl. Math. Model. 127 (2024) 237-258
   [DOI:10.1016/j.apm.2023.12.006]

2023

Article  
1.0/a Σ 1
R. Schlickeiser, M. Kröger
Analytical solution of the Susceptible-Infected-Recovered/Removed model for the not too late temporal evolution of epidemics for general time-dependent recovery and infection rates
Covid 3 (2023) 1781-1796
   [DOI:10.3390/covid3120123]
Article  
1.0/a Σ 1
R. Schlickeiser, M. Kröger
Key epidemic parameters of the SIRV model determined from past Covid-19 mutant waves
Covid 3 (2023) 592-600
   [DOI:10.3390/covid3040042]
Article  
2.1/a Σ 2
R. Schlickeiser, M. Kröger
Determination of a key pandemic parameter of the SIR-epidemic model from past Covid-19 mutant waves and its variation for the validity of the Gaussian evolution
Physics 5 (2023) 205-214
   [DOI:10.3390/physics5010016]

2022

Article  
2.6/a Σ 5
R. Schlickeiser, M. Kröger
Forecast of omicron wave time evolution
Covid 2 (2022) 216-229
   [DOI:10.3390/covid2030017 ]

2021

Article  
1.0/a Σ 3
R. Schlickeiser, M. Kröger
Reasonable limiting of 7-day incidence per hundred thousand value and herd immunization in Germany and other countries
Covid 1 (2021) 130-136
   [DOI:10.3390/covid1010012]
Article  
6.8/a Σ 20
R. Schlickeiser, M. Kröger
Analytical modeling of the temporal evolution of epidemics outbreaks accounting for vaccinations
Physics 3 (2021) 386-426
   [DOI:10.3390/physics3020028]
Article  
2.0/a Σ 6
R. Schlickeiser, M. Kröger
Epidemics forecast from SIR-modeling, verification and calculated effects of lockdown and lifting of interventions
Frontiers Phys. 8 (2021) 593421
   [DOI:10.3389/fphy.2020.593421]
Article  
2.3/a Σ 7
M. Kröger, R. Schlickeiser
Verification of the accuracy of the SIR model in forecasting based on the improved SIR model with a constant ratio of recovery to infection rate by comparing with monitored second wave data
R. Soc. Open Sci. 8 (2021) 211379
   [DOI:10.1098/rsos.211379]
Article  
4.7/a Σ 14
M. Kröger, M. Turkyilmazoglu, R. Schlickeiser
Explicit formulae for the peak time of an epidemic from the SIR model. Which approximant to use?
Physica D 425 (2021) 132981
   [DOI:10.1016/j.physd.2021.132981]

2020

      Proc   J. Schüttler, R. Schlickeisen, F. Schlickeisen, M. Kröger
Covid-19 predictions using a Gauss model, based on data from April 2
Preprints (2020) 2020040175
   [DOI:10.20944/preprints202004.0175.v1]
Article  
9.1/a Σ 36
J. Schüttler, R. Schlickeiser, F. Schlickeiser, M. Kröger
Covid-19 predictions using a Gauss model, based on data from April 2
Physics 2 (2020) 197-212
   [10.3390/physics2020013]
      Book   R. Schlickeiser, M. Kröger
Physics Methods in Coronavirus Pandemic Analysis
Physics (2020)
Open Access »»
Article   R. Schlickeiser, M. Kröger
First consistent determination of the basic reproduction number for the first Covid-19 wave in 71 countries from the SIR-epidemics model with a constant ratio of recovery to infection rate
Global J. Front. Res. F 20 (2020) 37-43
   [DOI:10.34257/GJSFRFVOL20IS8PG37]
Article   R. Schlickeiser, M. Kröger
Dark numbers and herd immunity of the first Covid-19 wave and future social interventions
Epidem. Int. J. 4 (2020) 000152
   [DOI:10.23880/eij-16000152]
Article  
2.2/a Σ 9
M. Kröger, R. Schlickeiser
Gaussian doubling times and reproduction factors of the COVID-19 pandemic disease
Frontiers Phys. 8 (2020) 276
   [DOI:10.3389/fphy.2020.00276]

2019

      Proc   T. Weber, G. Hofer, A. Simonov, M. Kröger, D. Schlüter
Understanding two-dimensional polymerisation using Bragg and diffuse X-ray scattering
Acta Cryst. 74 (2019) e427

132 (2010) 124904    [DOI:10.1063/1.3361674]

Article  
10./a Σ 146
C. Baig, V.G. Mavrantzas, M. Kröger
Flow effects on the melt structure and entanglement network of linear polymer melts: Results from a nonequilibrium molecular dynamics simulation study of a polyethylene melt in steady shear
Macromolecules 43 (2010) 6886-6902
   [DOI:10.1021/ma100826u]

2009

Article  
0.8/a Σ 12
A. Abedijaberi, J. Soulages, M. Kröger, B. Khomami
Flow of branched polymer melts in a lubricated cross-slot channel: A combined computational and experimental study
Rheol. Acta 48 (2009) 97-108
   [10.1007/s00397-008-0317-9]

2008

Article  
3.2/a Σ 52
J.M. Kim, D.J. Keffer, M. Kröger, B.J. Edwards
Rheological and entanglement characteristics of linear chain polyethylene liquids in planar Couette and planar elongational flows
J. Non-Newtonian Fluid Mech. 152 (2008) 168-183
   [10.1016/j.jnnfm.2007.03.005]
Proc   A. Abedijaberi, J. Soulages, H.C. Öttinger, M. Kröger, B. Khomami
Dynamics of Branched Polymer Melts in Complex Kinematics Flows: A Computational/Experimental Study
XVth Int. Congress on Rheology, AIP Conf. Proc. 1027 (2008) 237-239
   [10.1063/1.2964647]

2007

Article   M. Kröger
Landmark paper index: Application to rheological (η-) journals
Appl. Rheol. 17 (2007) 66494 (6 pages)
   [10.3933/ApplRheol-17-66494]

2006

Article  
0.1/a Σ 3
M. Kröger
Landmark Paper Index: Definition and Application to Rheological (η-)Journals
Appl. Rheol. 16 (2006) 329-333
   [10.3933/ApplRheol-16-329]
Proc   S. Hess, S. Heidenreich, P. Ilg, M. Kröger
Regular and chaotic flow behavior and orientational dynamics of tumbling nematics
Flow Dynamics, AIP Conf. Proc. 832 (2006) 311-315
Article  
0.2/a Σ 5
M. Ellero, M. Kröger, S. Hess
Multiscale modeling of viscoelastic materials containing rigid nonrotating inclusions
Multiscale Model. Simul. 5 (2006) 759-785
   [10.1137/060651367]

2005

Report   M. Kröger, P. Moldenaers
Rheology and microstructure of complex fluid systems
Appl. Rheol. 15 (2005) 46-47
Book  
6.0/a Σ 115
M. Kröger
Models for polymeric and anisotropic liquids
Monography within the series Lecture Notes in Physics, Vol. 675 Springer, New York (2005)
   [DOI:10.1007/b105182]
Article  
0.1/a Σ 2
M. Kröger
Publication specific impact of articles published by rheological journals
Appl. Rheol. 15 (2005) 406-409
   [10.3933/ApplRheol-15-406]
Article  
1.1/a Σ 22
P. Ilg, M. Kröger, S. Hess
Structure and rheology of model-ferrofluids under shear flow
J. Magnetism Magn. Mater. 289 (2005) 325-327
   [10.1016/j.jmmm.2004.11.092]
Book   S. Hess, M. Kröger
Regular and chaotic rheological behavior of tumbling polymeric liquid crystals
in: Computer simulations bridging liquid crystals and polymers , Eds. P. Pasini, C. Zannoni, S. Zumer ISBN 1-4020-2758-3 NATO Sci. Ser. II Math. Phys. Chem. Vol. 177, Kluwer, Dordrecht (2005) 295-333

2004

Report   S. Odenbach, M. Kröger
Ferrofluids: Magnetically Controllable Fluids and Their Applications
Appl. Rheol. 14 (2004) 179
Article  
0.7/a Σ 14
M. Kröger, H.C. Öttinger
Beyond-equilibrium molecular dynamics of a rarefied gas subjected to shear flow
J. Non-Newtonian Fluid Mech. 120 (2004) 175-187
   [10.1016/j.jnnfm.2003.11.010 ]
Article  
13./a Σ 270
M. Kröger
Simple models for complex nonequilibrium fluids
Phys. Rep. 390 (2004) 453-551
   [10.1016/j.physrep.2003.10.014]
Article  
1.9/a Σ 39
S. Hess, M. Kröger
Regular and chaotic orientational and rheological behaviour of liquid crystals
J. Phys.: Condens. Mat. 16 (2004) S3835-S3859
   [10.1088/0953-8984/16/38/005]

2003

Article  
2.1/a Σ 45
M. Kröger, P. Ilg, S. Hess
Magnetoviscous model fluids
J. Phys.: Condens. Mat. 15 (2003) S1403-S1423
   [10.1088/0953-8984/15/15/307]
Article  
0.3/a Σ 7
P. Ilg, M. Kröger
Magnetization dynamics, rheology, and an effective description of ferromagnetic units in dilute suspension (vol 66, art no 021501, 2002)
Phys. Rev. E 67 (2003) 049901
   [10.1103/PhysRevE.67.049901]
Article  
8.7/a Σ 182
V.A. Harmandaris, V.G. Mavrantzas, D.N. Theodorou, M. Kröger, J. Ramírez, H.C. Öttinger, D. Vlassopoulos
Crossover from the Rouse to the entangled polymer melt regime: Signals from long, detailed atomistic molecular dynamics simulations, supported by rheological experiments
Macromolecules 36 (2003) 1376-1387
   [10.1021/ma020009g]

2002

      Proc    M. Kröger, P. Ilg, S. Hess
Rheology and structure of ferrofluids via nonequilibrium molecular dynamics
Europhys. Conf. Abstr. 26F European Phys. Soc. (2002) 257
Proc    M. Kröger, J. Fang, H.C. Öttinger
Improved reptation model for polymer melts
Proc. VI Europ. Conf. Rheol. LSP, Erlangen (2002) 241-242
Proc    M. Kröger, P. Ilg, S. Hess
Rheology of ferrofluids and magnetorheological fluids
Proc. VI Europ. Conf. Rheol. LSP, Erlangen (2002) 273-274
Article  
2.1/a Σ 47
P. Ilg, M. Kröger
Magnetization dynamics, rheology, and an effective description of ferromagnetic units in dilute suspension
Phys. Rev. E 66 (2002) 021501 (16 pages)
   [10.1103/PhysRevE.66.021501]
Article  
1.4/a Σ 31
P. Ilg, M. Kröger, S. Hess
Magnetoviscosity and orientational order parameters of dilute ferrofluids
J. Chem. Phys. 116 (2002) 9078-9088
   [10.1063/1.1473656]
      Proc    S. Hess, M. Kröger, G. Rienäcker
Chaotic Rheological Behavior of a Tumbling Nematic Liquid Crystal
Europhys. Conf. Abstr. 26F European Phys. Soc. (2002) 256
Article  
0.0/a Σ 2
S. Hess, M. Kröger
Elastic and plastic behavior of model solids
Techn. Mech. 22 (2002) 79-88
   [DOI:10.3929/ethz-a-010678022]
      Proc    J.G. Hernández Cifre, M. Kröger, S. Hess
Rheology and structure of branched polymers via nonequilibrium molecular dynamics
Europhys. Conf. Abstr. 26F European Phys. Soc. (2002) 130

2001

Report   M. Kröger
Advances in rheology
Appl. Rheol. 11 (2001) 105-106
Proc   M. Hütter, M. Kröger, H.C. Öttinger, T. Schweizer
Bridging scales in polymer physics and processing
Chimia 55 (2001) 178-182
Article   S. Hess, T. Weider, M. Kröger
Viscous properties and structure of ferro-fluids and magneto-rheological fluids. Non-equilibrium molecular dynamics (NEMD) studies of simple model systems
Magnetohydrodyn. 37 (2001) 297-306
   [DOI:10.3929/ethz-a-010678041]
Report   P. Fischer, M. Kröger
50th golden jubilee meeting of the German Society of Rheology
Appl. Rheol. 11 (2001) 207

2000

Report   R.G. Larson, J. Vermant, M. Kröger
The structure and rheology of complex fluids
Appl. Rheol. 10 (2000) 110-111
Proc    M. Kröger, J. Fang, H.C. Öttinger
A thermodynamically admissible reptation model for fast flows of entangled polymers
Proc. XIII Int. Congress on Rheology 1 Cambridge, UK (2000) 312-314
Article  
8.4/a Σ 201
M. Kröger, S. Hess
Rheological evidence for a dynamical crossover in polymer melts via nonequilibrium molecular dynamics
Phys. Rev. Lett. 85 (2000) 1128-1131
   [10.1103/PhysRevLett.85.1128]
Proc    S. Hess, M. Kröger
Plastic flow studied by nonequilibrium molecular dynamics computer simulation
Proc. XIII Int. Congress on Rheology 4 Cambridge, UK (2000) 99-101
Article  
4.2/a Σ 102
J. Fang, M. Kröger, H.C. Öttinger
A thermodynamically admissible reptation model for fast flows of entangled polymers. II. Model predictions for shear and extensional flows
J. Rheol. 44 (2000) 1293-1317
   [10.1122/1.1308522]

1999

      Report   M. Kröger, M. Dressler, P. Fischer
Rheology and interfaces (+ Interview with Masao Doi)
Appl. Rheol. 9 (1999) 140-143
Article  
4.0/a Σ 102
C. Aust, M. Kröger, S. Hess
Structure and dynamics of dilute polymer solutions under shear flow via nonequilibrium molecular dynamics
Macromolecules 32 (1999) 5660-5672
   [10.1021/ma981683u]

1998

      Proc   M. Kröger
Dynamics of actin filaments
in: Progress and Trends in Rheology V, Ed. I. Emri Steinkopff, Darmstadt (1998) 338-39
Article  
0.0/a Σ 2
M. Kröger
Nonequilibrium dynamics simulations of simple and complex fluids
Curr. Opin. Colloid & Interf. Sci. 3 (1998) 614-619
   [DOI:10.1016/S1359-0294(98)80088-5]
Article  
0.1/a Σ 5
M. Kröger
Micro/mesoscopic approaches to the ring formation in linear wormlike micellar systems
Macromol. Symp. 133 (1998) 101-112
   [DOI:10.1002/masy.19981330109]
Article  
0.1/a Σ 5
M. Kröger
Flow-induced alignment of rodlike and flexible polymers in the molten state
Physica A 249 (1998) 332-336
   [10.1016/S0378-4371(97)00486-X]

1997

Report   J. Schieber, P. Fischer, M. Kröger
New aspects in polymer rheology
Appl. Rheol. 7 (1997) 1,123-127
Article   M. Kröger, A. Ben-Shaul
On the presence of loops in linear self-assembling systems
Cah. Rheol. 16 (1997) 1-6
   [DOI:10.3929/ethz-a-004445428]
      Proc    M. Kröger
Rheological modeling of macromolecular fluids
Proc. 1st Int. Symp. Food Rheol. Struc. 1 Vincentz, Hannover (1997) 37-40
Article  
1.2/a Σ 33
S. Hess, C. Aust, L. Bennett, M. Kröger, C. Pereira Borgmeyer, T. Weider
Rheology: From simple and to complex fluids
Physica A 240 (1997) 126-144
   [10.1016/S0378-4371(97)00136-2]
Report   P. Fischer, M. Kröger
Columbus discovered rheologists: the medals
Appl. Rheol. 7 (1997) 1,279-282
Article  
0.9/a Σ 26
W. Carl, R. Makhloufi, M. Kröger
On the Shape and Rheology of Linear Micelles in Dilute Solutions
J. Phys. France II 7 (1997) 931-946
   [10.1051/jp2:1997163]

1996

Article  
0.9/a Σ 27
C. Schneggenburger, M. Kröger, S. Hess
An extended FENE dumbbell theory for concentration dependent shear-induced anisotropy in dilute polymer solutions
J. Non-Newtonian Fluid. Mech. 62 (1996) 235-251
   [10.1016/0377-0257(96)01413-9]
Report   R. Makhloufi, M. Kröger
Rheology and structure of complex fluids
Appl. Rheol. 6 (1996) 1,278-280
      Report   M. Kröger, T.C.B. McLeish
Rheology/Chain Structure Relationships in Polymers
Appl. Rheol. 6 (1996) 1,133-136
      Proc    M. Kröger
Structure and rheology of micellar systems via nonequilbrium molecular dynamics computer simulation
Proc. 3. Wolfgang-Ostwald conf. 1 Univ. Dresden, Dresden (1996) 56
Report  
0.0/a Σ 2
M. Kröger
The rheology of tenside systems
Appl. Rheol. 6 (1996) 1,83-85
      Report   S. Hess, C. Aust, M. Kröger
Rheology and structure of complex fluids via nonequilibrium molecular dynamics
Cah. Rheol. 15 (1996) 1-10
      Proc   W. Carl, M. Kröger
Flow-induced Shape of Linear Micelles
Cah. Rheol. 15 (1996) 164-169

1995

      Book  
0.4/a Σ 12
M. Kröger
Rheologie und Struktur von Polymerschmelzen (dissertation)
Monography: ISBN: 3-928943-19-7 Sci. Techn. Publ., Berlin (1995)
Article  
0.6/a Σ 20
M. Kröger
NEMD computer simulation of polymer melt rheology
Rheol. 5 (1995) 66-71
   [DOI:10.3933/ApplRheol-5-66]

1994

      Proc   M. Kröger, S. Hess
Polymer melts in shear and elongational flows. A nonequilibrium molecular dynamics study
in: Progress and Trends in Rheology IV, Ed. C. Gallegos Steinkopff, Darmstadt (1994) 421
      Proc    M. Kröger, S. Hess
Rheologie und Struktur von Polymerflüssigkeiten via NEMD
Proc. 5. Polym. Days PGB, Berlin (1994) 131
Article  
0.1/a Σ 5
M. Kröger
Flow-alignment and rheology of polymer melts. Computation of the single-link orientational distribution function.
Makromol. Chem. -- Macromol. Symp. 81 (1994) 83-90
   [DOI:10.1002/masy.19940810110]

1993

      Proc    M. Kröger, S. Hess
Steady-state alignment of polymer segments
Proc. II. Int. Conf. Fluid Mechanics Peking Univ. Press, Bejing (1993) 849-857
Article  
7.1/a Σ 220
M. Kröger, W. Loose, S. Hess
Rheology and structural changes of polymer melts via nonequilibrium molecular dynamics
J. Rheol. 37 (1993) 1057-1079
   [10.1122/1.550409]

1992

      Proc  
0.0/a Σ 1
M. Kröger, S. Hess
Viscous behavior of polymeric liquids. Investigated by NEMD-simulations and by a Fokker-Planck equation
in: Theory and Applications in Rheology (P. Moldenaers, R. Keunings eds.) Elsevier, Amsterdam (1992) 422


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