Publications Group Schilling 


 


recent

 

1997


1. R. Schilling and T. Scheidsteger
Mode coupling approach to the ideal glass transition of molecular liquids: Linear molecules
Phys. Rev. E 56, 2932-2949 (1997)

2. V. G. Rostiaschvili and R. Schilling
Langevin dynamics of a Φ4-model with long range interactions
Z. Phys. B 102, 117-127 (1997)

3. R. Schilling
Central peak for a scalar Φ4-model: mode coupling approach revisited
Z. Phys. B 103, 463-468 (1997)

4. S. Kammerer, W. Kob, and R. Schilling
Dynamics of the rotational degrees of freedom in a supercooled liquid of diatomic molecules
Phys. Rev. E 56, 5450-5461, (1997)

5. H. Köhler and R. Schilling
Spin-one-defect description of the antiferromagnetic S=1 Heisenberg chain
Phys. Rev. B 55, 2945 (1997)


1998


6. T. Scheidsteger and R. Schilling
Glass transition for dipolar hard spheres: a mode-coupling approach
Phil. Mag. B 77, 305-311 (1998)

7. C. Theis and R. Schilling
Non-ergodicity parameters for a molecular liquid: a comparison between mode coupling theory and simulation
J. Noncryst. Solids 235-237, 106-114 (1998) Eprint
arXiv:cond-mat/9806124

8. L. Fabbian, R. Schilling, F. Sciortino, P. Tartaglia, and C. Theis
Test of the semischematic model of a liquid of linear molecules
Phys. Rev. E 58, 7272–7278 (1998) Eprint
arXiv:cond-mat/9804116

9. V. Fleurov, R. Schilling, and S. Flach
Tunneling of a quantum breather in a one-dimensional chain
Phys. Rev. E 58, 339-346 (1998)

10. S. Kammerer, W. Kob, and R. Schilling
Test of mode coupling theory for a supercooled liquid of diatomic molecule. I. Translational degrees of freedom
Phys. Rev. E 58, 2131-2140 (1998) Eprint
arXiv:cond-mat/9710021

11. S. Kammerer, W. Kob, and R. Schilling
Test of mode coupling theory for a supercooled liquid of diatomic molecule. II. q-dependent orientational correlators
Phys. Rev. E 58, 2141-2150 (1998) Eprint
arXiv:cond-mat/9710022

12. A. Latz
The β-relaxation amplitudes for a dipolar hard sphere glass
J. Non-Crystalline Solids 235-237, 128-132 (1998)


1999


13. L. Fabbian, A. Latz, R. Schilling, F. Sciortino, P. Tartaglia, and C. Theis
Molecular mode-coupling theory for supercooled liquids: Application to water
Phys. Rev. E 60, 5768-5777 (1999) Eprint
arXiv:cond-mat/9905091

14. M. Letz and R. Schilling
Model coupling theory for molecular liquids: what can we learn from a system of hard ellipsoids?
Phil. Mag. B 79, 1815-1820 (1999) Eprint
arXiv:cond-mat/9908295

15. S. Neusüß and R. Schilling
Multiparticle breathers for a chain with double-quadratic on-site potential
Phys. Rev. E 60, 6128-6136 (1999)

16. C. Theis and R. Schilling
Neutron scattering and molecular correlations in a supercooled liquid
Phys. Rev. E 60, 740-750 (1999) Eprint
arXiv:cond-mat/9808074

17. M. Letz and A. Latz
Fluids of hard ellipsoids: Phase diagram including a nematic instability from Percus-Yevick theory
Phys. Rev. E 60, 5865-5871 (1999) Eprint
arXiv:cond-mat/9905055


2000


18. L. Fabbian, A. Latz, R. Schilling, F. Sciortino, P. Tartaglia, and C. Theis
Molecular correlations in a supercooled liquid
Phys. Rev. E 62, 2388-2404 (2000) Eprint
arXiv:cond-mat/9812363

19. M. Letz, R. Schilling and A. Latz
Ideal glass transitions for hard ellipsoids
Phys. Rev. E 62, 5173-5178 (2000) Eprint
arXiv:cond-mat/9906336

20. R. Schilling
Mode-coupling theory for transitional and orientational dynamics near the ideal glass transition
J. Phys.: Condens. Matter 12, 6311-6322 (2000)

21. C. Theis, F. Sciortino, A. Latz, R. Schilling, and P. Tartaglia
Test of molecular mode coupling theory for general rigid molecules
Phys. Rev. E 62, 1856-1861 (2000) Eprint
arXiv:cond-mat/0003508

22. A. Winkler, A. Latz, R. Schilling, and C. Theis
Molecular mode-coupling theory applied to a liquid of diatomic molecules
Phys. Rev. E 62, 8004-8015 (2000) Eprint
arXiv:cond-mat/0007276

23. D. A. Garanin, E. M. Chudnovsky, and R. Schilling
Tunneling of a large spin via hyperfine interactions
Phys. Rev. B
61, 12204-12208 (2000) Eprint arXiv:cond-mat/9911055


2001


24. T. Theenhaus, R. Schilling, A. Latz, and M. Letz
Microscopic dynamics of molecular liquids and glasses: Role of orientations and translation-rotation coupling
Phys. Rev. E 64, 051505-(1)-051505-(18) (2001) Eprint
arXiv:cond-mat/0105393

25. Bongsoo Kim and A. Latz
The dynamics of the spherical p-spin model: From microscopic to asymptotic
Europhys. Lett. 53, 660-666 (2001) Eprint
arXiv:cond-mat/0005172

26. M. Himmerich and M. Letz
Electron gas with a strong pairing interaction: Three-particle correlations and the Thouless instability
Phys. Rev. B 64, 144519 (2001) Eprint
arXiv:cond-mat/0009262

27. T. Franosch, M. Fuchs, and A. Latz
Light-scattering spectra of supercooled molecular liquids
Phys. Rev. E 63, 061209 (2001) Eprint
arXiv:cond-mat/0006214

28. M. Letz and A. Latz
On the theory of light scattering in molecular liquids
Eur. Phys. J. B 19, 323-343 (2001) Eprint
arXiv:cond-mat/0007029


2002


29. D. A. Garanin and R. Schilling
Inverse problem for the Landau-Zener effect
Europhys. Lett. 59, 7-13 (2002) Eprint
arXiv:cond-mat/0202314

30. D. A. Garanin and R. Schilling
Effects of nonlinear sweep in the Landau-Zener-Stueckelberg effect
Phys. Rev. B 66, 174438 (2002) Eprint
arXiv:cond-mat/0207418

31. D. A. Garanin and E. M. Chudnovsky
Tunneling and EPR linewidths due to dislocations in Mn-12 acetate
Eur. Phys. J. B 29, 3-7 (2002) Eprint
arXiv:cond-mat/0107586

32. E. M. Chudnovsky and D. A. Garanin
Superradiance from crystals of molecular nanomagnets
Phys. Rev. Lett. 89, 157201 (2002) Eprint
arXiv:cond-mat/0204553

33. T. Theenhaus, M. P. Allen, M. Letz, A. Latz, and R. Schilling
Dynamical precursor of nematic order in a dense fluid of hard ellipsoids of revolution
Eur. Phys. J. E 8, 269-274 (2002) Eprint
arXiv:cond-mat/0109314

34. A. Latz, M. Letz, R. Schilling, and T. Theenhaus
Microscopic dynamics of hard ellipsoids in their liquid and glassy phase
J. Noncryst. Solids 307-310, 172-180 (2002) Eprint
arXiv:cond-mat/0109286

35. R. Schilling
Reference-point-independent dynamics of molecular liquids and glasses in the tensorial formalism
Phys. Rev. E 65, 051206-(1)-051206-(14) (2002)


2003


36. R. Schilling and G. Szamel
Microscopic theory for the glass transition in a system without static correlations
Europhys. Lett. 61, 207-213 (2003) Eprint
arXiv:cond-mat/0210354

37. R. Schilling and G. Szamel
Glass transition in systems without static correlations: a microscopic theory
J. Phys.: Condens. Matter 15, S967 (2003) Eprint
arXiv:cond-mat/0212406

38. D. A. Garanin and H. Kachkachi
Surface contribution to the anisotropy of magnetic nanoparticles
Phys. Rev. Lett. 90, 065504 (2003) Eprint
arXiv:cond-mat/0210098

39. D. A. Garanin
Landau-Zener-Stueckelberg effect in a model of interacting tunneling systems
Phys. Rev. B 68, 014414 (2003) Eprint
arXiv:cond-mat/0302107

40. R. Schilling
Theories of the Structural Glass Transition
in "Collective Dynamics of Nonlinear and Disordered Systems", eds. G. Radons, W. Just, and P. Haeussler, Springer (2003) Eprint
arXiv:cond-mat/0305565

41. D. A. Garanin and R. Schilling
Transitions at avoided level crossing with interaction and disorder
Eprint
arXiv:cond-mat/0312030


2004


42. D. A. Garanin and R. Schilling
Quantum nonlinear spin switching model
Phys. Rev. B 69, 104412 (2004) Eprint
arXiv:cond-mat/0307371

43. J. L. Garcia-Palacios and D. A. Garanin
Nonlinear response of superparamagnets with finite damping: An analytical approach
Phys. Rev. B 70, 064415 (2004) Eprint
arXiv:cond-mat/0404445

44. M. Ricker and R. Schilling
Ornstein-Zernike equation and Percus-Yevick theory for molecular crystals
Phys. Rev. E 69, 061105 (2004) Eprint
arXiv:cond-mat/0311253

45. D. A. Garanin, R. Schilling, and A. Scala
Saddle index properties, singular topology and its relation to thermodynamical singularities for the Phi^4 mean field model 
Phys. Rev. E 70, 036125 (2004) Eprint
arXiv:cond-mat/040519

46. R. Schilling
Modified mode-coupling theory of glassy dynamics generated by entanglement
Adv. Solid State Physics, 44, 439 (2004)

47. J. Vanacken, S. Stroobants, M. Malfait, V. V. Moshchalkov, M. Jordi, J. Tejada, R. Amigo, E. M. Chudnovsky, and D. A. Garanin
Pulsed field studies of the magnetization reversal in molecular nanomagnets
Phys. Rev. B 70, 220401 (2004) Eprint
arXiv:cond-mat/0404041

48. E. M. Chudnovsky and D. A. Garanin
Phonon superradiance and phonon laser effect in nanomagnets
Phys. Rev. Lett. 93, 257205 (2004) Eprint
arXiv:cond-mat/0404239

49. D. A. Garanin
Interference effect in the Landau-Zener tunneling of the antiferromagnetically coupled dimer of single-molecule magnets
Phys. Rev. B 70, 212403 (2004) Eprint
arXiv:cond-mat/0404734

50. D. A. Garanin and O. Chubykalo-Fesenko
Thermal fluctuations and longitudinal relaxation of single-domain magnetic particles at elevated temperatures
Phys. Rev. B 70, 212409 (2004) Eprint
arXiv:cond-mat/0409344

51. H. Kachkachi and D. A. Garanin
Magnetic nanoparticles as many-spin systems
( Kluwer 2004 ) Eprint
arXiv:cond-mat/0310694


2005


52. C. Calero, E. M. Chudnovsky, and D. A. Garanin
Quantum Dynamics of a Nanomagnet in a Rotating Field
Phys. Rev. B 72, 024409 (2005) Eprint arXiv:cond-mat/0503085

53. D. A. Garanin and R. Schilling
Many-body Landau-Zener effect at fast sweep
Phys. Rev. B 71, 184414 (2005) Eprint arXiv:cond-mat/0501089

54. M. Ricker and R. Schilling
Microscopic theory of glassy dynamics and glass transition for molecular crystals
Phys. Rev. E 72, 011508 (2005) Eprint
  arXiv:cond-mat/0411759

55. C. Calero, E. M. Chudnovsky, and D. A. Garanin
Field dependence of the electron spin relaxation in quantum dots
Phys. Rev. Lett. 95, 166603 (2005) Eprint arXiv:cond-mat/0504457

56. E. M. Chudnovsky, D. A. Garanin, and R. Schilling
Universal mechanism of spin relaxation in solids
Phys. Rev. B 72, 094426 (2005) Eprint
arXiv:cond-mat/0503223


2006


57. Christiano De Michele, Antonio Scala, Rolf Schilling , Francesco Sciortino
Molecular Correlation Functions for Uniaxial Ellipsoids in the Isotropic State

J. Chem. Phys. 124, 104509 (2006) Eprint
arXiv:cond-mat/0511124

58. Rolf Schilling
Energy landscape properties studied using symbolic sequences
Physica D 216, 157-166 (2006) Eprint
arXiv:cond-mat/0601082

59. Mark Vogelsberger , D. A. Garanin
Butterfly hysteresis curves generated by adiabatic Landau-Zener transitions
Phys. Rev. B 73, 092412 (2006) Eprint
arXiv:cond-mat/0507618

60. M. Ricker, F. Affouard, R. Schilling and M. Descamps
Glassy behaviour of molecular crystals: A comparison between results from MD-simulation and mode coupling theory
J. Non-Cryst. Solids 352, 4814 (2006) Eprint
arXiv:cond-mat/0511102

61. Rolf Schilling , Mark Vogelsberger , D. A. Garanin
Nonadiabatic Transitions for a Decaying Two-Level-System: Geometrical and Dynamical Contributions
J. Phys. A 39, 13727 (2006) Eprint
arXiv:quant-ph/0607221


2007


62. M. Bayer, J. Brader, F. Ebert, E. Lange, M. Fuchs, G. Maret, R. Schilling, M. Sperl, J.P. Wittmer
Dynamic Glass Transition in Two Dimensions
Phys.
Rev. E 76, 011508 (2007) Eprint arXiv:cond-mat/0703173

63. Cristiano De Michele, Rolf Schilling, Francesco Sciortino
Dynamics of uniaxial hard ellipsoids

Phys. Rev. Lett.
98, 265702 (2007) Eprint arXiv:cond-mat/0705.2670v1

64. Cristiano De Michele, Rolf Schilling, Francesco Sciortino
Event-Driven Simulation of the Dynamics of Hard Ellipsoids
Proc. 5-th. International Workshop on Complex Systems Sendai, 25.-29. Sept. 2007 Eprint
arXiv:cond-mat/0712.2960v1


2008


65. D. A. Garanin, R. Neb, R. Schilling
Effect of environmental spins on Landau-Zener transitions
Phys. Rev. B
78, 094405 (2008) Eprint arXiv:cond-mat/0806.2830

66. D. Hajnal, R. Schilling
Delocalization-Localization Transition due to Anharmonicity
Phys. Rev. Lett. 101, 124101 (2008) Eprint 
arXiv:cond-mat/0808.3874

67. V. Fleurov, R. Schilling, B. Bayani
Location- and observation time-dependent quantum-tunneling
Phys. Rev. B 78, 184301 (2008) Eprint 
arXiv:cond-mat/0901.4518


2009


       68. D. Hajnal, M. Fuchs
           
Flow curves of colloidal dispersions close to the glass transition - Asymptotic scaling laws in a schematic model of mode coupling theory
            Eur. Phys. J. E
28, 125 (2009) Eprint  arXiv:cond-mat/0807.1288

       69. D. Hajnal, J. M. Brader, R. Schilling
           
Effect of mixing and spatial dimensions on the glass transition
            Phys. Rev E 80, 021503 (2009) Eprint  arXiv:cond-mat/0907.2355v1

       70. S. Aubry, R. Schilling
            Anomalous Thermostat and Intraband Discrete Breathers
            Physica D 238, 2045-2061 (2009) Eprint 
arXiv:cond-mat/0908.0169


2010


       71. C. Tomaras, B. Schmid, W. Schirmacher
            Anharmonic elasticity theory for sound attenuation in disordered solids with fluctuating elastic constants
            Phys. Rev. B 81, 104206 (2010)

       72. B. Schmid, R. Schilling
            Glass transition of hard spheres in high dimensions
            Phys. Rev. E 81, 041502 (2010) Eprint  arXiv:cond-mat/1003.4559v1

       73. S. Lang, V. Botan, M. Oettel, D. Hajnal, T. Franosch, R. Schilling
            
Glass Transition in Confined Geometry
             Phys. Rev. Lett. 105, 125701 (2010) Eprint  arXiv:cond-mat/1008.3796v1

       74. S. Lepri, R. Schilling, S. Aubry
           
Asymptotic energy profile of a wavepacket in disordered chains
            Phys. Rev. E 82, 056602 (2010) Eprint  arXiv:cond-mat/1010.4234v1


2011


       75. D. Hajnal, M. Oettel, R. Schilling
            
Glass transition of binary mixtures of dipolar particles in two dimensions
             J. Non-Cryst. Solids 357, 302 (2011), Eprint arXiv:cond-mat/1006.3264v1

       76. R. Schilling, B. Schmid
            
Comment on “Mode-Coupling Theory as a Mean-Field Description of the Glass Transition”
             Phys. Rev. Lett. 106, 049601 (2011), Eprint arXiv:cond-mat/1101.5577v1

       77. F. Weysser, D. Hajnal
            
Tests of mode-coupling theory in two dimensions
             Phys. Rev. E 83, 041503 (2011), Eprint arXiv:cond-mat/1103.1297v2

78. T. Ras, R. Schilling, M. Weigel
Regular packings on periodic lattices 
Phys. Rev. Lett. 107, 215503(2011),  Eprint arXiv:cond-mat/1110.4775v1


2012


      79R. Seybold, D. Hajnal, F. Weysser, M. Fuchs
            Shear moduli of two dimensional glasses
           
Soft Matter 8, 4132-41410 (2012) 

     
      80.V. Fleurov, R. Schilling
            
Regularization of fluctuations near the sonic horizon due to the quantum potential  and its influence on Hawking radiation
            Phys. Rev. A 85, 045602 (2012) ; Eprint arXiv:cond-mat/1105.0799

      
81. S. Lang, R. Schilling, V. Krakoviack, T. Franosch
             
Mode-Coupling Theory of the Glass Transition for  Confined Fluids
           Phys.Rev. E86, 021502 (2012),  Eprint arXiv:cond-mat/1208.1929v1


       82. T. Franosch, S. Lang, R. Schilling
            
Fluids in Extreme Confinement
           Phys.Rev.Lett 109, 240601 (2012),  Eprint arXiv:cond-mat/1211.1853        

2013


       

            83. S. Bar-Ad, R. Schilling, V. Fleurov
           
Nonlocality and fluctuations near the optical analog of a sonic horizon
            Phys. Rev. A 87, 013802 (2012) ; Eprint arXiv:cond-mat/1301.3725            
                         
       
   84. M.Elazar, S. Bar-Ad, V. Fleurov, R. Schilling
              
 An all-optical event horizon in an optical analogue of a Laval nozzle
               
In "Analogue Gravity Phenomenology" Lecture Notes in Physics, vol. 870, p.275-296 (2013)

           85. S. Lang, R. Schilling, T. Franosch
               
Mode-coupling theory for multiple decay channels
               J. Statist. Mech.:Theory and Exp, P12007(2013),  Eprint arXiv:cond-mat/1401.1420
 

2014


            

          86. S. Lang, T. Franosch and R. Schilling
               
 Structural quantities of quasi-two-dimensional fluids
               J.Chem.Phys. 140, 104506 (2014),  Eprint arXiv:cond-mat/1403.3030  

          87. C. Schilling and  R. Schilling
               
 Duality of reduced density matrices and their eigenvalues
               J.Phys. A 47, 415305(2014),  Eprint arXiv:quant-phys/1408.3128   

          88. S. Lang, R. Schilling and T. Franosch
               
Glassy dynamics in confinement: Planar and bulk limits of the mode-coupling theory
                Phys.Rev. E90, 062126 (2014),  Eprint arXiv:cond-mat/1501.02153v1

 

2015


            
           89.  Wolfgang Goetze and  Rolf Schilling
                  
Glass transitions and scaling laws within an alternative mode-coupling theory
                  Phys. Rev. E91 , 042117 (2015); Eprint  arXiv:cond-mat/1504.01290



2016


            
         
90. C. Schilling and  R. Schilling
               
Number-parity effect for confined fermions in one dimension
               Phys.Rev. A 93 , 021601(R)(2016),  Eprint arXiv:quant-phys/1508.04452   

          91. Rolf Schilling
             
Strongly confined fluids: Diverging time scales and slowing down of equilibration
               Phys.Rev. E 93 , 062102 (2016),  Eprint arXiv:cond-mat/1606.00653