Publications-Group Schilling

Publications Schilling

132. Thermodynamics of quasi-one-dimensional fluids
T. Franosch and R. Schilling
J. Chem. Phys. 160, 224504 (2024), Eprint http://arxiv.org/abs/2406.19946

131. Thermodynamics , statistical mechanics and the vanishing pore width limit of confined fluids
W. Dong, T. Franosch and R. Schilling
Commun. Physics. 6, 161 (2023)

130. 1-Matrix functional for long-range interaction energy of two hydrogen atoms
Jerzy Cioslowski, Christian Schilling and Rolf Schilling
J. Chem. Phys. 158, 084106(2023)

129. How creating an additional well can generate Bose-Einstein condensation

Mihály Máté, Örs Legeza, Rolf Schilling, Mason Yousif and Christian Schilling
Commun. Phys. 4, 29, (2021), Eprint arxiv.org/abs/1901.01321

128. Diverging exchange force and form of exact density matrix functinals
Christian Schilling and Rolf Schilling
Phys.Rev.Lett. 122, 013001(2019), Eprint arxiv.org/abs/1901.01321

127. Strongly confined fluids: Diverging time scales and slowing down of equilibration
Rolf Schilling
           Phys.Rev. E93, 062102 (2016), Eprint arXiv:cond-mat/1606.00653

126.   Number-parity effect for confined fermions in one dimension
C. Schilling and R. Schilling
           Phys.Rev. A93, 021601(R) (2016), Eprint arXiv:quant-phys/1508.04452

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

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

123. Duality of reduced density matrices and their eigenvalues
C. Schilling and R. Schilling
           J.Phys. A47, 415305 (2014), Eprint arXiv:quant-phys/1408.3128

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

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

120. An all-optical event horizon in an optical analogue of a Laval nozzle
   M. Elazar, S. Bar-Ad, V. Fleurov and R. Schilling
   In "Analogue Gravity Phenomenology" Lecture Notes in Physics, vol. 870, p.275-296 (2013)

119. Nonlocality and fluctuations near the optical analog of a sonic horizon
   S. Bar-Ad, R. Schilling and V. Fleurov
   Phys. Rev. A 87, 013802 (2013) ; Eprint arXiv:cond-mat/1301.3725

118. Fluids in extreme confinement

T. Franosch, S. Lang and R. Schilling
Phys. Rev. Lett. 109 , 240601 (2012); Eprint arXiv:cond-mat/1211.1853

117. Mode-coupling theory for the glass transition of confined fluids

S. Lang, R. Schilling, V. Krakoviack and T. Franosch
Phys. Rev. E86 , 021502 (2012); Eprint arXiv:cond-mat/1208.1929v1

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 (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

E.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 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 Central peak for a scalar
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 Number of metastable

states of a chain with competing and anharmonic

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
        4^th 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)

. 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