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in der Helmholtz-Gemeinschaft

Institute of Solid State Research (IFF)

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G.Schütz		 Research
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Selected Publications


1
G. Schütz: N=1 superconformal invariance in the six-state quantum chain with free boundary conditions.
J. Phys. A: Math. Gen. 20 (1987), L905-L910.

2
G. von Gehlen, V. Rittenberg and G. Schütz: Operator content of n-state quantum chains in the c=1 region.
J. Phys. A: Math. Gen. 21 (1988), 2805-2833.

3
M. Henkel and G. Schütz: Finite-lattice extrapolation algorithms.
J. Phys. A: Math. Gen. 21 (1988), 2617-2633.

4
G. Schütz: Finite-size scaling spectra in the six-states quantum chains.
J. Phys. A: Math. Gen. 22 (1989), 731-750.

5
P.G. Lauwers and G. Schütz: Estimation of the central charge by Monte Carlo simulations.
Phys. Lett. B 256 (1991), 491-494.

6
V. Rittenberg and G. Schütz: Patterns of Uq [SU(2)] symmetry breaking in Heisenberg quantum chains.
Helv. Phys. Acta 64 (1991), 871-876.

7
D. Baranowski, V. Rittenberg and G. Schütz: Higher symmetries in the spin one Zamolodchikov-Fateev Hamiltonian with a finite number of sites and toroidal boundary conditions. Spectra and operator content of N=1 superconformal systems.
Nucl. Phys. B 370 (1992), 551-576.

8
G. Schütz: A new approach to the calculation of the central charge.
J. Phys. A: Math. Gen. 25 (1992), 2161-2180.

9
G. Schütz: ``Duality twisted'' boundary conditions in n-states Potts models.
J. Phys. A: Math. Gen. 26 (1993), 4555-4563.

10
G. Schütz: Generalized Bethe ansatz solution to an asymmetric exclusion process on a ring with a defect.
J. Stat. Phys. 71 (1993), 471-505.

11
G. Schütz: Time-dependent correlation functions in a one-dimensional asymmetric exclusion process.
Phys. Rev. E 47 (1993), 4265-4277.

12
U. Grimm and G. Schütz: The spin-1/2 XXZ Heisenberg chain, the quantum algebra Uq [SU(2)] and duality transformations for minimal models.
J. Stat. Phys. 71 (1993), 923-966.

13
G. Schütz and E. Domany: Phase transitions in an exactly soluble one-dimensional asymmetric exclusion model.
J. Stat. Phys. 72 (1993), 277-296.

14
S. Sandow and G. Schütz: On Uq [SU(2)]-symmetric driven diffusion.
Europhys. Lett. 26 (1994), 7-13.

15
G. Schütz: Berry's phase in a one-dimensional quantum many-body system.
Phys. Rev. E 49 (1994), 2461-2464.

16
M. Henkel and G. Schütz: Boundary induced phase transitions in equilibrium and non-equilibrium systems.
Physica A 206 (1994), 187-195.

17
G. Schütz and S. Sandow: Non-abelian symmetries of stochastic processes: derivation of correlation functions for random vertex models and disordered interacting many-particle systems.
Phys. Rev. E 49 (1994), 2726-2744.

18
D.B. Abraham, T.J. Newman and G.M. Schütz: Non-equilibrium dynamics of finite interfaces.
Phys. Rev. Lett. 72 (1994) 3266-3269.

19
M. Henkel and G. Schütz: Schrödinger invariance in discrete stochastic systems.
Int. J. Mod. Phys. B 8 (1994), 3487-3499.

20
R.B. Stinchcombe and G.M. Schütz: Operator algebra for stochastic dynamics and the Heisenberg chain.
Europhys. Lett. 29 (1995), 663-667.

21
G.M. Schütz: Reaction-diffusion processes of hard-core particles.
J. Stat. Phys. 79 (1995), 243-264.

22
G.M. Schütz: Diffusion-annihilation in the presence of a driving field.
J. Phys. A: Math. Gen. 28 (1995), 3405-3415.

23
R.B. Stinchcombe and G.M. Schütz: Application of operator algebras to stochastic dynamics and the Heisenberg chain.
Phys. Rev. Lett. 75 (1995), 140-143.

24
M. Henkel, E. Orlandini and G.M. Schütz: Equivalences between stochastic systems.
J. Phys. A. 28 (1995), 6335-6344.

25
G.M. Schütz: Non-equilibrium correlation functions in the $A+A\rightarrow \emptyset$ system with driven diffusion.
Phys. Rev. E 53 (1996), 1475 - 1479.

26
G.M. Schütz, R. Ramaswamy and M. Barma: Invariant measures for generalized exclusion processes.
J. Phys. A. 29 (1996), 837 - 845.

27
G.T. Barkema and G.M. Schütz: Magnetophoresis of tagged polymers.
Europhys. Lett. 35 (1996), 139 - 144.

28
J. Santos, G.M. Schütz and R.B. Stinchcombe: Diffusion-annihilation dynamics in one spatial dimension.
J. Chem. Phys. 105 (1996), 2399 - 2407.

29
G.M. Schütz, An exactly solvable model of inhomogeneous interface growth.
J. Phys. I (France) 6 (1996), 1405-1410.

30
M.J.E. Richardson and G.M. Schütz: Inhomogeneous reptation of polymers.
Physica A 235 (1997), 440 - 450.

31
G.M. Schütz: The Heisenberg chain as a dynamical model for protein synthesis - Some theoretical and experimental results.
Int. J. Mod. Phys. B 11 (1997), 197 - 202.

32
G.M. Schütz: Duality relations for asymmetric exclusion processes.
J. Stat. Phys. 86 (1997), 1265 - 1288.

33
G.M. Schütz: Exact solution of the master equation for the asymmetric exclusion process.
J. Stat. Phys. 88 (1997), 427 - 445.

34
G.M. Schütz: Diffusion-limited annihilation in inhomogeneous environments.
Z. Phys. B 104 (1997), 583 - 590.

35
K.P.N. Murthy and G.M. Schütz: Aging in two- and three-particle annihilation processes.
Phys. Rev. E 57 (1998), 1388 - 1394.

36
G.M. Schütz and K. Mussawisade: Annihilating random walks in one-dimensional disordered media.
Phys. Rev. E 57 (1998), 2563 - 2567.

37
T. Antal, Z. Rácz, A. Rákos and G.M. Schütz: Isotropic transverse XY chain with energy- and magnetization currents.
Phys. Rev. E. 57 (1998), 5184 - 5190.

38
K. Mussawisade, J.E. Santos and G.M. Schütz: Branching-annihilating random walks in one dimension: Some exact results.
J. Phys. A. 31 (1998), 4381 - 4394.

39
G.M. Schütz: Dynamic Matrix Ansatz for Integrable Reaction-Diffusion Processes.
Eur. Phys. J. B 5 (1998), 589 - 597.

40
A.B. Kolomeisky, G.M. Schütz, E.B. Kolomeisky and J.P. Straley: Phase diagram of one-dimensional driven lattice gases with open boundaries.
J. Phys. A. 31 (1998), 6911 - 6919.

41
D. Helbing, D. Mukamel and G.M. Schütz: Global phase diagram of a one-dimensional driven lattice gas.
Phys. Rev. Lett. 82 (1999), 10 - 13.

42
T. Antal, Z. Rácz, A. Rákos and G.M. Schütz: Transport in the XX chain at zero temperature: Emergence of flat magnetization profiles.
Phys. Rev. E 59 (1999), 4912 - 4918.

43
G.M. Schütz and S. Trimper: Relaxation and Aging in quantum spin systems.
Europhys. Lett. 47 (1999), 164 - 170.

44
V. Popkov and G.M. Schütz: Steady-state selection in driven diffusive systems with open boundaries.
Europhys. Lett. 48 (1999), 257 - 263.

45
G.M. Schütz: Non-equilibrium relaxation law for entangled polymers.
Europhys. Lett 48 (1999), 623 - 628.

46
G.M. Schütz: Exact tracer diffusion coefficient in the asymmetric random average process.
J. Stat. Phys. 99 (2000), 1045-1049.

47
T. Antal and G.M. Schütz: Asymmetric exclusion process with short-range interaction: Some remarks on traffic flow and a nonequilibrium reentrance transition.
Phys. Rev. E. 62 (2000), 83 - 89.

48
G.M. Schütz: Phasenübergänge in offenen Vielteilchensystemen fern vom Gleichgewicht.
Phys. Blätt. 56 (2000), 69 - 73.

49
S. Trimper, U.C. Täuber and G.M. Schütz: Reaction-controlled diffusion.
Phys. Rev. E 62 (2000), 6071 - 6078.

50
C. Pigorsch and G.M. Schütz: Shocks in the asymmetric simple exclusion process in a discrete-time update.
J. Phys. A 33 (2000), 7919 - 7935.

51
M. Dudzinski and G.M. Schütz: Relaxation spectrum of the asymmetric exclusion process with open boundaries.
J. Phys. A 33 (2000), 8351 - 8364.

52
V. Popkov, L. Santen, A. Schadschneider and G.M. Schütz: Boundary-induced phase transition in traffic flow.
J. Phys. A. 34 (2001), L1 - L8.

53
G.M. Schütz, I. Ispolatov, G.T. Barkema and B. Widom: Symmetries and Equivalences in a lattice model for hydrophobic interaction.
Physica A 291 (2001), 24 - 38.

54
V. Popkov, J. Hager, J. Krug und G.M. Schütz: Minimal current phase and boundary layers in driven diffusive systems.
Phys. Rev. E 63 (2001), 056110.

55
G.M. Schütz und J. Santos: Nonequilibrium tube-length fluctuations of entangled polymers.
J. Chem. Phys. (Comm.) 114 (2001), 8733- 8736.

56
V. Belitsky, J. Krug, E. Jordão Neves und G.M. Schütz: A Cellular Automaton for Two-Lane Traffic.
J. Stat. Phys. 103, (2001), 945-971.

57
J.E. Santos und G.M. Schütz: Exact time-dependent correlation functions for the symmetric exclusion process with open boundary.
Phys. Rev. E. 64 (2001), 036107.

58
V. Belitsky und G.M. Schütz: Diffusion and scattering of shocks in the partially asymmetric exclusion process.
El. J. Prob. 7 (2002) Paper no. 11, 1-21.

59
V. Popkov und G.M. Schütz: Integrable Markov processes and quantum spin chains
Mat. fizika, analiz, geometriya 9 (2002), 401-411.

60
Y. Kafri, E. Levine, D. Mukamel, G.M. Schütz und J. Török: Criterion for phase separation in one-dimensional driven systems
Phys. Rev. Lett. 89 (2002), 035702.

61
M. Paeßens und G.M. Schütz: DMRG studies of the effect of constraint release on the viscosity of polymer melts Phys. Rev. E 66 (2002), 021806

62
V. Popkov, E. Fouladvand und G.M. Schütz: A sufficient integrability criterion for interacting particle systems and quantum spin chains.
J. Phys. A. 35 (2002), 7187-7204.

63
S. Stepanow und G.M. Schütz: The distribution function of a semiflexible polymer and random walks with constraints
Europhys. Lett. 60 (2002), 546 - 551.

64
R.D. Willmann, G.M. Schütz und D. Challet: Exact Hurst exponent and crossover behavior in a limit order market model
Physica A 316 (2002), 430-440.

65
V. Popkov und G.M. Schütz: Shocks and excitation dynamics in a driven diffusive two-channel system
erscheint in J. Stat. Phys.

66
Y. Kafri, E. Levine, D. Mukamel, G.M. Schütz und R.D. Willmann: Novel phase-separation transition in one-dimensional driven models
zur Publikation eingereicht.

67
R.D. Willmann, G. M. Schütz und K. Jain: Diffusion in a generalized Rubinstein-Duke model of electrophoresis with kinematic disorder
zur Publikation eingereicht.

68
V. Popkov, A. Rakos, R. D. Willmann, A. B. Kolomeisky und G. M. Schütz: Localization of shocks in driven diffusive systems without particle number conservation
zur Publikation eingereicht.

69
S. Großkinsky, G.M. Schütz und H. Spohn: Condensation in the zero range process: stationary and dynamical properties
zur Publikation eingereicht.


Contributions to Books

B1
G.M. Schütz: Reaction-diffusion mechanisms and quantum spin systems.
in Field theoretical tools for polymer and particle physics, eds. H. Meyer-Ortmanns and A. Klümper, Lecture Notes in Physics 508, pp. 78 - 102 (Springer, Berlin, 1998).

B2
G.M. Schütz: Exactly Solvable Models for Many-Body Systems Far From Equilibri,
in Phase Transitions and Critical Phenomena 19, pp. 1 - 251, C. Domb und J. Lebowitz (eds.), (Academic Press, London, 2000).

B3
K.W. Kehr, K. Mussawisade, G.M. Schütz und T. Wichmann: Diffusion of particles on lattices,
erscheint in Diffusion in Condensed Matter, J. Kärger und P. Heitjans (eds.), Springer, Berlin.

B4
G.M. Schütz, G. Vojta und U. Renner: Diffusion on fractals,
erscheint in Diffusion in Condensed Matter, J. Kärger und P. Heitjans (eds.), Springer, Berlin.

Rezensionen

R1
G.M. Schütz: Rezension von Non-equilibrium Statistical Mechanics in One Dimension, V. Privman (ed.) (Cambridge University Press, Cambridge, 1997), in: Contemporary Physics 40 (1999), 159.

R2
G.M. Schütz: Rezension von Quantum Interacting Particle Systems, L. Accardi and F. Fagnola (eds.) (World Scientific, Singapore, 2002), erscheint in Zentralblatt Mathematik.

Conference Proceedings (selected)

C1
G.M. Schütz: Integrable stochastic processes, in:
Proceedings of a Satellite Meeting of Statphys 19 on Statistical models, Yang-Baxter equations and related topics and of the 7th Nankai workshop on Symmetry, Statistical mechanical models und applications, eds. M.-L. Ge und F.Y. Wu, World Scientific, Singapore (1996).

C2
G.M. Schütz: Applications of integrable stochastic processes in biological und chemical systems, in:
Proceedings of the Satellite Meeting of Statphys 19 on Statistical models, Yang-Baxter equations and related topics and of the 7th Nankai workshop on Symmetry, Statistical mechanical models and applications, eds. M.-L. Ge und F.Y. Wu, World Scientific, Singapore (1996).

C3
J.E. Santos, G.M. Schütz und R.B. Stinchcombe: Dynamics of one-dimensional reaction-diffusion systems, in:
Proceedings of the International Summer School on Topics in Non-Equilibrium Statistical Mechanics, Oporto 1995, erscheint bei Springer.

C4
G.M. Schütz: The Heisenberg chain as a dynamical model for protein synthesis - Some theoretical and experimental results, in:
C. King und F.Y. Wu (Hrsg.), Exactly soluble models in statistical mechanics, Advances in Statistical Mechanics Vol. 13, pp. 197 - 202 (World Scientific, Singapore, 1997).

C5
G.M. Schütz: Stochastic many-body systems and quantum spin chains, in: Proceedings of the II Brazilian Probability School, Barra do Sahy 1998, Resenhas 4, 17 - 43 (1999).

C6
G.M. Schütz: Dynamical theory of steady state selection in open driven diffusive systems, in:
Traffic and Granular Flow '99, pp. 227 - 232, D. Helbing, H. J. Herrmann, M. Schreckenberg und D. E. Wolf (eds.) (Springer, Berlin, 2000).



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