Publications Schilling 




 116. 
Regularization of fluctuations near the sonic horizon due to the quantum potential  and its influence on Hawking radiation
         V. Fleurov, R. Schilling
         Phys. Rev. A 85, 045602 (2012) ; Eprint arXiv:cond-mat/1105.0799

115. Regular Packings on Periodic Lattices

        T. Ras, R. Schilling, M. Weigel
        Phys. Rev. Lett. 107, 215503 (2011); Eprint  arXiv:cond-mat/1110.4775v1


114. Comment on "Mode-Coupling Theory as a Mean Field Description of the Glass Transition"

        B. Schmid, R. Schilling
        Phys. Rev. Lett. 106, 049601 (2011); Eprint  arXiv:cond-mat/1101.5577.v1

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

112. Asymptotic energy profile of a wavepacket in disordered chains
        S. Lepri, R. Schilling, S. Aubry

        Phys. Rev. E 82, 056602 (2010); Eprint  arXiv:cond-mat/1010.4234v1

111. Glass Transition in Confined Geometry

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


110.
Glass transition of hard spheres in high dimensions

        B. Schmid, R. Schilling
        Phys. Rev. E 81, 041502 (2010); Eprint  arXiv:cond-mat/1003.4559v1

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

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

107. Simulation of the Dynamics of Hard Ellipsoids
       
C. De Michele, R. Schilling and F. Sciortino
       
Proc. of "XI Int. Workshop on Complex Systems" (Andalo, Italy) Eds. A. Fontana, P. Verrochio and G. Viliani; Phil. Mag. B 88, 4117-4123 (2008)

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

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

104. Effect of environmental spins on Landau-Zener transitions
        D.A. Garanin, R. Neb, R. Schilling
       
Phys. Rev. B 78, 094405-(1-11) (2008); arXiv:cond-mat/0806.2830

103. Event-Driven Simulation of the Dynamics of Hard Ellipsoids
        Cristiano De Michele, Rolf Schilling, Francesco Sciortino
        AIP Conference Proceedings of IWCS (Sendai, Japan) 982, 148-153 (2008); arXiv:cond-mat/0712.2960

102. Dynamics of uniaxial hard ellipsoids
       
Cristiano De Michele, Rolf Schilling, Francesco Sciortino
        Phys. Rev. Lett. 98, 265702 (2007); arXiv:cond-mat/0705.2670

101. Dynamic Glass Transition in Two Dimensions
       
M. Bayer, J. Brader, F. Ebert, E. Lange, M. Fuchs, G. Maret, R. Schilling, M. Sperl, J.P. Wittmer
        Phys. Rev. E 76, 011508-(1-12) (2007); arXiv:cond-mat/0703173

100. Nonadiabatic Transition for a Decaying Two-Level-System: Geometrical and Dynamical Contributions
        Rolf Schilling, Mark Vogelsberger, D.A. Garanin
       
J. Phys. A 39, 13727-13745 (2006); arXiv:quant-ph/0607221

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

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

  97. Molecular Correlation Functions for Uniaxial Ellipsoids in the Isotropic State
       
Cristiano De Michele, Antonio Scala, Rolf Schilling, Francesco Sciortino
       
J. Chem. Phys. 124, 104509-(1-7) (2006); arXiv:cond-mat/0511124

  96. Universal mechanism of spin relaxation in solids
       
M. Chudnovsky, D.A. Garanin, and R. Schilling
        Phys. Rev. B 72, 094426-(1-11) (2005); arXiv. Cond-mat/0503223

  95. Microscopic theory of glassy dynamics and glass transition for molecular crystals
       
M. Ricker and R. Schilling
        Phys. Rev. E 72, 011508-(1-16) (2005); arXiv:cond-mat/0411759

  94. Many-body Landau-Zener effect at fast sweep
       
D.A. Garanin and R. Schilling
        Phys. Rev. B 71, 184414-(1-14) (2005); arXiv:cond-mat/0501089

  93. Modified mode-coupling theory of glassy dynamics generated by entanglement
        R. Schilling
        Adv. Solid State Physics, 44, 439-450 (2004)

  92. Saddle index properties, singular topology and its relation to thermodynamical singularities for the mean field model
       
D.A. Garanin, R. Schilling, and A. Scala
        Phys. Rev. E 70, 036125-(1-9) (2004); arXiv:cond-mat/0405190

  91. Ornstein-Zernike equation and Percus-Yevick theory for molecular crystals
       
M. Ricker and R. Schilling
        Phys. Rev. E 69, 061105-(1-13) (2004); arXiv:cond-mat/0311253

  90. Quantum nonlinear spin switching model
       
D.A. Garanin and R. Schilling
        Phys. Rev. B 69, 104412- (1-8) (2004); arXiv:cond-mat/0307371

  89. Transitions at avoided level crossing with interaction and disorder
        D.A. Garanin and R. Schilling
        2003, arXiv:cond-mat/0312030

  88. Theories of the Structural Glass Transition
        R. Schilling
        in “Collective Dynamics of Nonlinear and Disordered Systems, eds. G. Radons, W. Just, and P. Haeussler, Springer, 171-202 (2003); arXiv:cond- mat/0305565

  87. Glass transition in systems without static correlations: a microscopic theory
       
R. Schilling and G. Szamel
        J. Phys.: Condens. Matter 15, S967-S985 (2003); arXiv:cond-mat/0212406

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

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

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

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

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

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

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

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

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

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

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

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

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

  73. Neutron scattering and molecular correlations in a supercooled liquid
       
C. Theis and R. Schilling
        Phys. Rev. E 60, 740-750 (1999); arXiv:cond-mat/9902064

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

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

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

  69. Test of mode coupling theory for a supercooled liquid of diatomic molecule. II.q-dependent orientational correlators
       
S. Kammerer, W. Kob, and R. Schilling
        Phys. Rev. E 58, 2141-2150 (1998); arXiv:cond-mat/971002

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

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

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

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

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

  63. Spin-one-defect description of the antiferromagnetic S=1 Heisenberg chain
       
H. Köhler and R. Schilling
        Phys. Rev. B 55, 2945-2954 (1997)

  62. Dynamics of the rotational degrees of freedom in a supercooled liquid of diatomic molecules
       
S. Kammerer, W. Kob, and R. Schilling
        Phys. Rev. E 56, 5450-5461 (1997); arXiv:cond-mat/9704166

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

  60. Langevin dynamics of a
Φ4 -model with long range interactions
        V. G. Rostiaschvili and R. Schilling
        Z. Phys. B 102, 177-127 (1997)

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

  58. Spatially chaotic configurations and functional equations with rescaling
       
G. Derfel, R. Schilling
        J. Phys. A29, 4537-4547 (1996)

  57. On the applicability of mode coupling theory for a Φ4-model with first order phase transition
        E. Duering, R. Schilling, H.-P. Wittmann
        Z. Phys. B 100, 409-415 (1996)

  56. Quantum spin tunneling: A path integral approach
        R. Schilling
        In Quantum tunneling of the magnetization, eds L. Gunther and B. Barbara, Kluwer, 59-76 (1995)

  55. Energy relaxation in a Φ4-model with long range interactions
        R. Németh, R. Schilling
        Z. Phys. B 98, 553-560 (1995)

  54. Nucleation of Quasicrystals by Rapid Cooling of a Binary Melt: A Molecular Dynamics Study
       
J. Roth, R. Schilling, H.-R. Trebin
        Phys. Rev. B 51, 15833 (1995)

  53. Tunneling in a “Breathing” Double Well: Adiabatic and Antiadiabatic Limits and Tunneling Suppresion
       
V. Fleurov, R. Schilling
        Z. Phys. B 96, 429 (1995)

  52. Fluctuating Hydrodynamics and Diffusion in Amorphous Solids
        S.P. Das, R. Schilling
        Phys. Rev. E 50, 1265-1273 (1994)

  51. Effective kink-kink interaction in a one-dimensional model mediated by phonon exchange
       
V.G. Rostiashvili, R. Schilling
        Phys. Rev. Lett. 72, 2130 (1994)

  50. Mode Coupling Approach to the Glass Transition
        R. Schilling
        In Disorder Effects on Relaxation Processes, eds. R. Richert and A. Blumen, Springer Verlag, 193-231 (1994)

  49. Kinetic-Ising-model description of Newtonian dynamics: A one-dimensional example
        W. Tschöp, R. Schilling
        Phys. Rev. E 48, 4221-4228 (1993)

  48. Mode coupling analysis of the central peak at order-disorder phase transitions
       
T.M. Fisher, R. Schilling
        Z. Phys. B 92, 67-73 (1993)

  47. Number of metastable states of a chain with competing and anharmonic Φ4-like interactions
        J. Vollmer, W. Breymann, R. Schilling
       
Phys. Rev. B 47, 11767-11773 (1993)

  46. Hierarchical melting of one-dimensional incommensurate structures
        R. Schilling
        in Phase Transitions and Relaxation in Systems with Competing Energy Scales, ed. T. Riste and D. Sherrington, Kluwer Academic Publisher 285-316 (1993)

  45. Quantum spin-tunneling
        R. Schilling
        Gwatt Workshop on Magnetism (1992)

  44. Haldane phase at finite temperatures: A defect-approach
       
H. Köhler, R. Schilling
        J. Phys. Cond. Matter 4, 7899-7912 (1992)

  43. Molecular Dynamics Studies of 3d-Quasicrystals
        J. Roth, J. Stadler, R. Schilling and H.-R. Trebin
        4th International Conference on Quasicrystals, St. Louis (1992)
   
     J. Non-Cryst. Solids 153 & 154, 536-540 (1993)

  42. Spatially chaotic structures
       
R. Schilling
        In “Nonlinear Dynamics in Solids, ed. H. Thomas, Springer Verlag, 213-241 (1992)

  41. Intrinsic stability of quasicrystals under the generation of Frenkel pairs
       
J. Roth, R. Schilling, H.-R. Trebin
        Z. Phys. B 87, 359-362 (1992)

  40. Ergodicity of a system with second-order transition: applicability of mode coupling theory
       
W. Kob, R. Schilling
        J. Phys. Cond. Matter 3, 9195-9214 (1991)

  39. Ergodicity, nonexponential relaxation and cooling processes for a simple 1d “glass”-model
       
W. Kob, R. Schilling
        J. Noncryst. Solids 131-133, 248-251 (1991)

  38. Cooling processes in a 1d “glass”-model
       
W. Kob, R. Schilling
        J. Phys. A 23, 4673-4689 (1990)

  37. Dynamics of a 1d glass-model: Ergodicity and relaxation behavior
       
W. Kob, R. Schilling
        Phys. Rev. A 42, 2191-2203 (1990)

  36. Relaxation dynamics of metastable antiferromagnetic states
       
J.F. Gregg, W. Kob, J.S. Lord, I.D. Morris, J.Z. Pfeffer, R. Schilling, M.R. Wells, W.P. Wolf
        J. Appl. Phys. 67, 5430-5432 (1990)

  35. Simple microscopic models for disorderd structures: Two-level systems and specific heat
        R. Schilling
        in Phonons 89, eds. S. Hunklinger, W. Ludwig, G. Weiss, World Scientifc (1990)

  34. Stability of mono-and diatomic quasicrystals and the influence of noise
       
J. Roth, R. Schilling, H.-R. Trebin
        Phys. Rev. B 41, 2735-2747 (1990)

  33. KAM-tori, chaotic motion and exactly integrable islands for a nondifferentiable Hamiltonian system
       
W. Kob, R. Schilling
        J. Phys. A 22, L633-L639 (1989)

  32. Pressure-dependence of the number of metastable configurations: A staircase-like behaviour for a chain of particles
        P. Häner, R. Schilling
        Europhys.
Lett. 8, 129-134 (1989)

  31. Slow quenching for a 1D kinetic Ising model: Residual energy and domain growth
       
R. Schilling
        J. Stat. Phys. 53, 1227-1235 (1988)

  30. Stability of Quasicrystals
        J. Roth, J. Bohsung, R. Schilling, H.R. Trebin
       
Proceedings of the ILL workshop on quasicrystalline materials, 65-74 (1988)

  29. A model for a glassy adsorbate: Two-level systems and specific heat
       
W. Uhler, R. Schilling
        Phys. Rev. B 37, 5787-5805 (1988)

  28. Low-Temperature excitations, specific heat and hierarchial melting of a one-dimensional incommensurate structure
       
F. Vallet, R. Schilling, S. Aubry
        J. Phys. C 21, 67-105 (1988)

  27. Cooling rate dependence of the residual energy of a one-dimensional configurational glass model
        W. Kob, R. Schilling
        Z. Physik B 68, 245-249 (1987)

  26. Static structure factor of one-dimensional incommensurate structures
       
R. Schilling, S. Aubry
        J. Phys. C 20, 4881-4889 (1987)

  25. Magnetic field dependence of the tunneling splitting of quantum spins
       
M. Enz, R. Schilling
        J. Phys. C 19, L711-L715 (1986)

  24. Hierarchical low-temperature behaviour of one-dimensional incommensurate structures
       
F. Vallet, R. Schilling, S. Aubry
        Europhys. Lett. 2, 815-822 (1986)

  23. Spin tunneling in the semiclassical limit
       
M. Enz, R. Schilling
        J. Phys. C 19, 1765-1770 (1986)

  22. Glassy structures as spatial chaos
        R. Schilling
        Proceedings of the 2nd International Conference on Phonon Physics, Budapest (1985)

  21. A local description of stabile 2D random packing
       
W. Uhler, R. Schilling
        J. Phys. C 18, L979-L983 (1985)

  20. Glass-like properties of a chain of particles with anharmonic and competing interactions
        P. Reichert, R. Schilling
        Phys.
Rev. B 32, 5731-5746 (1985)

  19. Do spatially chaotic configurations posses glasslike properties?
       
R. Schilling, P. Reichert
        J. Non-Cryst. Solids 75, 129-134 (1985)

  18. A local limit theorem for strongly dependent random variables and its application to a chaotic configuration of atoms
        P. Reichert, R. Schilling
        J. Math.
Phys. 26, 1165-1172 (1985)

  17. Tunneling levels and specific heat of one-dimensional chaotic configurations
       
R. Schilling
        Phys. Rev. Lett. 53, 2258 (1984)

  16. Heisenberg model with higher-order exchange: Ground-state properties and excitations
       
H.P. Bader, R. Schilling
        Phys. Rev. B 30, 3770-3782 (1984)

  15. One-dimensional Ising model in an incommensurate field
       
R. Schilling
        Phys. Rev. B 30, 5190-5194 (1984)

  14. Possibility of interpreting amorphicity as spatial chaos
        P. Reichert, R. Schilling
        Phys.
Rev. B 30, 917-922 (1984)

  13. Ground state transition for the Heisenberg model with planar anisotropy
       
G.T. Cantieni, R. Schilling
        Phys. Lett. 102A, 69-72 (1984)

  12. Eigenstates of N excitons and one hole
       
R. Schilling, D.C. Mattis
        Phys. Rev. B 27, 4661-4664 (1983)

  11. Effect of spin variables and exciton motion on ground state properties of the trion
       
R. Schilling, D.C. Mattis
        Phys. Rev. B 27, 3318-3324 (1983)

  10. Bound excition and hole: an exactly solvable three-body model in any number of dimensions
       
R. Schilling, D.C. Mattis
        Phys. Rev. Lett. 49, 808 (1982)

    9. Failure of renormalisation group method in semiclassical limit
       
D.C. Mattis, R. Schilling
        J. Phys. C 14, L729-L732 (1981)

    8. Conditions for a ferromagnetic ground state of Ising and Heisenberg models with external magnetic field
       
H.P. Bader, R. Schilling
        Phys. Rev. B 24, 2570-2576 (1981)

    7. Quantum corrections to narrow domain walls
       
G.T. Cantieni, R. Schilling
        J. Phys. C 13, 5263-5271 (1980)

    6. Conditions for a ferromagnetic ground state of Ising and Heisenberg models. II All Bravais lattices
       
H.P. Bader, R. Schilling
        Phys. Rev. B 21, 1304-1310 (1980)

    5. Threshold inequalities for ferromagnetic ground state of Ising and Heisenberg models
       
R. Schilling, H. P. Bader
        Phys. Rev. B 20, 1977-1979 (1979)

    4. Conditions for a ferromagnetic ground state of Heisenberg Hamiltonians I.
       
H.P. Bader, R. Schilling
        Phys. Rev. B 19, 3556-3560 (1979)

    3. Quantum mechanical behaviour of the nuclear spins in a domain wall
       
R. Schilling, M. Selecky, W. Baltensperger
        Solid State Com. 22, 265-267 (1977)

    2. Quantum theory of domain walls
       
R. Schilling
        Phys. Rev. B 15, 2700-2703 (1977)

    1. Quantum mechanical corrections to the Bloch wall
       
A. Antoulas, R. Schilling, W. Baltensperger
        Solid State Com. 18, 1435-1438 (1976)