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Selected Publications

Prof. Dr. Gunter M. Schütz


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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