Publications

Publications

List of publications of Andreas Engel

  •  S. Kaldasch and A. Engel; Phys. Rev. E 105, 034132 (2022)
    "Stiffness of random walks with reflecting boundary conditions" (2021); (arXiv)
  •  A. Prüser, I. Kondor and A. Engel; Entropy 2021, 23, 805
    "Aspects of a Phase Transition in High-Dimensional Random Geometry" (2020); (arXiv)
  •  M. Heerwagen and A. Engel; Phys. Rev. E 101, 062119
    "Work statistics in the periodically driven quartic oscillator: classical versus quantum dynamics" (2020); (arXiv)
  •  M. Engbers, M. Heerwagen, S. Rosmej, und A. Engel; Zeitschrift für Naturforschung A, 75 (5), 433–441
    "Work Statistics and Energy Transitions in Driven Quantum Systems"; (2020);
  • S. Landmann and A. Engel; Phys. Rev. E 101, 062119 (2020)
    "Large systems of random linear equations with nonnegative solutions: Characterizing the solvable and the unsolvable phase"; (arXiv) (2020)
  • S. Landmann and A. Engel; Physica A: Statistical Mechanics and its Applications 552, 122544 (2020)  "On non-negative solutions to large systems of random linear equations"; (arXiv);
  • S. Landmann and A. Engel; EPL 124, 18004 (2018); 
    "Systems of random linear equations and the phase transition in MacArthur's resource-competition model"
  • S. Sadeghi and A. Engel; Phys. Rev. E 97, 032133 (2018);
    "Random matrices and condensation into multiple states"
  • J. Ehrich and A. Engel; Phys. Rev. E 96, 042129 (2017);
    "Stochastic thermodynamics of interacting degrees of freedom: Fluctuation theorems for detached path probabilities"
  • M. Kahlen, A. Engel, and C. Van den Broeck; Phys. Rev. E 95, 012144 (2017);
    "Large deviations in Taylor dispersion"
  • J. Hoppenau, D. Nickelsen, and A. Engel; New J. Phys. 18, 083010 (2016);
    "Level 2 and level 2.5 large deviation functionals for systems with and without detailed balance"
  • N. Reinke, D. Nickelsen, A. Engel, and J. Peinke; Progress in Turbulence VI, (2016);
    "Application of an Integral Fluctuation Theorem to Turbulent Flows"
  • G. B. Cuetara, A. Engel, M. Esposito; New J. Phys. 17, 055002 (2015)
    "Stochastic thermodynamics of rapidly driven systems"
  • A. Favaro, D. Nickelsen, E. Barykina, A. Engel; Phys. Rev. E 91, 012127 (2015)
    "Prior-predictive value from fast-growth simulations: Error analysis and bias estimation"
  • J. Hoppenau, A. Engel; Europhys. Lett. 105, 50002 (2014)
    On the energetics of information exchange
  • J. Hoppenau, A. Engel; J. Stat. Mech., P06004 (2013)
    On the work distribution in quasi-static processes
  • J. Hoppenau, M. Niemann, A. Engel; Phys. Rev. E 87, 062127 (2013)
    Carnot process with a single particle
  • D. Nickelsen, A. Engel; Phys. Rev. Lett. 110, 214501 (2013)
    Probing small-scale intermittency with a fluctuation theorem
  • T. Speck, A. Engel, U. Seifert; J. Stat. Mech. P12001 (2012)
    Large deviation function for the entropy production: Optimal trajectory and role of fluctuations
  • D. Nickelsen, A. Engel; Phys. Scr. 86 058503 (2012)
    Asymptotic work distributions in driven bistable systems
  • D. Nickelsen, A. Engel; Eur. Phys. J. B 82 207 (2011)
    Asymptotics of work distributions: The pre-exponential factor
  • K. Janzen, A. Engel; J. Stat. Mech. P12002(2010)
    Stability of the replica-symmetric saddle-point in general mean-field spin-glass models
  • K. Janzen, A. Engel, M. Mézard; Phys. Rev.E 82 021127 (2010)
    Thermodynamics of the Lévy spin glass
  • K. Janzen, A. Engel, M. Mézard; Europhys. Lett. 89 67002 (2010)
    The Lévy spin glass transition
  • R. Nolte, A. Engel; Physica A 388 (18) 3752 (2009)
    Jarzynski equation for the expansion of a relativistic gas and black-body radiation
  • A. Engel; Phys. Rev. E 80 021120 (2009)
    Asymptotics of work distributions in nonequilibrium systems
  • V. Sterr, K. I. Morozov, A. Engel; J. Phys.: Conf. Ser.149, 012112 (2009)
    Ferrofluid drop rolling on the surface of a liquid
  • H. Ahlers, A. Engel; Eur. Phys. J. B 62 357 (2008)
    Prior-predictive value from fast growth simulations
  • H. Then, A. Engel; Phys. Rev. E 77 041105 (2008)
    Computing the optimal protocol for finite-time processes in stochastic thermodynamics
  • K. Janzen, A. Hartmann, A. Engel; J. Stat. Mech. P04006 (2008)
    Replica mean-field theory for Levy spin-glasses
  • B. Cleuren, K. Willaert, A. Engel, C. Van den Broeck; Phys. Rev. E 77 22103 (2008)
    Fluctuation theorem for entropy production during effusion of an ideal relativistic gas
  • A. Engel, R. Nolte; Europhys. Lett. 79 10003 (2007)
    Jarzynski equation for a simple quantum system: Comparing two definitions of work
  • V. Becker, A. Engel; Phys. Rev. E 75 031118 (2007)
    Role of interactions in ferrofluid thermal ratchets
  • D. Rannancher, A. Engel; Phys. Rev. E 75 016311 (2007)
    Suppressing the Rayleigh-Taylor instability with a rotating magnetic field
  • T. John, D. Rannacher, A. Engel; J. Mag. Magn. Mat. 309 31 (2007)
    Influence of surface tension on the conical miniscus of a magnetic fluid in the field of a current-carrying wire
  • A. Engel; Am. J. Phys. 74 837 (2006)
    Comment on 'Quantum harmonic oscillator revisited: A Fourier transform approach'
  • D. Rannacher, A. Engel; New J. Phys. 8 108 (2006)
    Cylindrical Korteweg-de Vries solitons on a ferrofluid surface
  • V. Becker, A. Engel; Z. Phys. Chem. 220 225 (2006)
    Thermal ratchet effect in a rotating ferrofluid
  • V. Becker, A. Engel, J. Breitlow; Acta Acust. United Ac. 92 127 (2006)
    Acoustic noise in condenser microphones
  • A. Engel; Magnetohydrodynamics 41 325 (2005)
    Thermal ratchet effect in ferrofluids
  • V. Becker, A. Engel; Physica A 354 59 (2005)
    Noiseless limit of a ferrofluid ratchet
  • A. Engel, P. Reimann; Phys. Rev. E 70 051107 (2004)
    Thermal ratchet effects in ferrofluids
  • A. Engel, R. Monasson, A. K. Hartmann; J. Stat. Phys. 117 387 (2004)
    On large deviation properties of Erdös-Rényi random graphs
  • M. Raible, A. Engel; Appl. Organometal. Chem. 18 536 (2004)
    Langevin equation for the rotation of a magnetic particle
  • D. Rannacher, A. Engel; Phys. Rev. E 69 066306 (2004)
    Double Rosensweig instability in a ferrofluid sandwich structure
  • A. Engel, P. Reimann; Phys. Rev. Lett. 92 188902 (2004)
    Reply to comment on 'Ferrofluids as thermal ratchets'
  • R. Friedrichs, A. Engel; Europhys. Lett. 63 826 (2003)
    Nonlinear analysis of the Rosensweig instability
  • A. Engel, H. W. Müller, P. Reimann, A. Jung; Phys. Rev. Lett. 91 060602 (2003)
    Ferrofluids as thermal ratchets
  • A. Engel, A. V. Lebedev, K. I. Morozov; Z. Naturforsch. 58a 703 (2003)
    Rotating ferrofluid drops
  • H. Bauke, S. Mertens, A. Engel; Phys. Rev. Lett. 90 158701 (2003)
    Phase transitions in multiprocessor scheduling
  • A. V. Lebedev, A. Engel, K. I. Morozov, H. Bauke; New J. Phys. 5 57 (2003)
    Ferrofluid drops in rotating magnetic fields
  • M. Rosen-Zvi, A. Engel, I. Kanter; Phys. Rev. E 66 036138 (2002)
    Generalization and capacity of extensively large two-layered perceptrons
  • R. Metzler , A. Engel; Phys. Rev. E 65 066108 (2002)
    Jamming transitions and avalanches in the game of Dots-and-Boxes
  • K. I. Morozov, A. Engel, A. V. Lebedev; Europhys. Lett. 58 229 (2002)
    Shape transformations in rotating ferrofluid drops
  • A. Engel, R. Friedrichs; Am. J. Phys. 70 428 (2002)
    On the electromagnetic force on a polarizable body
  • M. Rosen-Zvi, A. Engel, I. Kanter; Phys. Rev. Lett. 87 078101 (2001)
    Multilayer neural networks with extensively many hidden units
  • R. Friedrichs, A. Engel; Phys. Rev. E 64 021406 (2001)
    Pattern and wave number selection in magnetic fluids
  • A. Engel; Phys. Rev. Lett. 86 4978 (2001)
    Comment on 'Invalidation of the Kelvin force in ferrofluids'
  • C. Völtz, M. Schröter, G. Iori, A. Betat, A. Lange, A. Engel, I. Rehberg; Phys. Rep. 337 117 (2000)
    Finger-like Patterns in Sedimenting Water-Sand Suspensions
  • A. Engel; Theor. Comp. Sci. 265 285 (2000)
    Complexity of learning in artificial neural networks
  • R. Friedrichs, A. Engel; Eur. Phys. J. B 18 329 (2000)
    Statics and Dynamics of a Single Ferrofluid-Peak
  • A. Engel, J. B. Swift; Phys. Rev. E 62 6540 (2000)
    Planform selection in two-layer Bénard-Marangoni convection
  • A. Lange, H. Langer, A. Engel; Physica D 140 294 (2000)
    Dynamics of a Single Peak of the Rosensweig Instability in a Magnetic Field
  • H. W. Müller, A. Engel; Phys. Rev. E 60 7001 (1999)
    Dissipation in ferrofluids: Mesoscopic versus hydrodynamic theory
  • D. Malzahn, A. Engel; Phys. Rev. E 60 2097 (1999)
    Correlations between hidden units in multilayer neural networks and replica symmetry breaking
  • A. Engel, A. Lange, H. Langer, T. Mahr, V. Chetverikov; J. Mag. Magn. Mat. 201 310 (1999)
    A single peak of the Rosensweig instability
  • A. Engel, H. Langer, V. Chetverikov; J. Mag. Magn. Mat. 195 212 (1999)
    Non-linear analysis of the surface profile resulting from the one-dimensional Rosensweig instability
  • J. Berg, A. Engel; Phys. Rev. Lett. 81 4999 (1998)
    Matrix Games, Mixed Strategies, and Statistical Mechanics
  • M. A. Scherer, T. Mahr, A. Engel, I. Rehberg; Phys. Rev. E 58 6061 (1998)
    Granular Dynamics in a Swirled Annulus
  • A. Lange, M. Schröter, M. A. Scherer, A. Engel, I. Rehberg; Eur. Phys. J. B 4 475 (1998)
    Fingering Instability in a Water-Sand Mixture
  • A. Engel, D. Malzahn, I. Kanter; Phil. Mag. B 77 1507 (1998)
    Storage properties of correlated perceptrons
  • A. Engel; J. Phys. Chem. 204 19 (1998)
    Learning from Examples in Artificial Neural Networks: A Simple Example
  • J. Berg, A. Engel; J. Phys. A 31 2509 (1998)
    A multifractal phase-space analysis for perceptrons with biased patterns
  • D. Malzahn, A. Engel, I. Kanter; Phys. Rev. E 55 7369 (1997)
    Storage Capacity of Correlated Perceptrons
  • M. Weigt, A. Engel; Phys. Rev. E 55 4552 (1997)
    Multifractality and Percolation in the Phase Space of Neural Networks
  • S. Mertens, A. Engel; Phys. Rev. E 55 4478 (1997)
    On the VC-Dimension of Neural Networks with Binary Weights
  • A. Engel; J. Phys. A 29 L323 (1996)
    Correlation of internal representations in feed-forward neural networks
  • L. Reimers, A. Engel; J. Phys. A 29 3923 (1996)
    Weight Space Structure and Generalization in the Reversed-Wedge-Perceptron
  • A. Engel, A. Zippelius; Phys. Bl. 52 33 (1996)
    Statistische Mechanik von Neuronalen Netzen
  • A. Engel, M. Weigt; Phys. Rev. E 53 R2064 (1996)
    Multifractal analysis of the coupling space of feed-forward neural networks
  • A .Engel, L. Reimers; Europhys. Lett. 28 531 (1994)
    Reliability of Replica Symmetry for the Generalization Problem in a Toy Multilayer Neural Network
  • A. Engel; Mod. Phys. Lett B 8 1683 (1994)
    Uniform convergence bounds for learning from examples
  • A. Engel, W. Fink; J. Phys. A 26 6893 (1993)
    Statistical mechanics calculation of Vapnik-Chervonenkis bounds for perceptrons
  • P. Majer, A. Engel, A. Zippelius; J. Phys. A 26 7405 (1993)
    Perceptrons above saturation
  • A. Engel, C. van den Broeck; Phys. Rev. Lett. 71 1772 (1993)
    Systems that can learn from examples: Replica calculation of uniform convergence bounds for perceptrons
  • A. Engel, C. van den Broeck; Physica A 200 636 (1993)
    Replica calculation of the Vapnik-Chervonenkis Bound for Perceptrons
  • A. Engel; Nucl. Phys. B 410 617 (1993)
    Replica-Symmetry Breaking in Zero Dimension
  • L. Reimers, A. Engel; J. Phys. A 25 6649 (1992)
    Generalization from educated teachers
  • M. Bouten, A. Engel; Phys. Rev. E 47 1397 (1992)
    Basin of attraction in networks of multi-state neurons
  • A. Engel, H. M. Köhler, F. Tschepke, H. Vollmayr, A. Zippelius; Phys. Rev. A 45 7590 (1992)
    Storage capacity and learning algorithm for two-layer perceptrons
  • A. Engel, T. Schnelle; J. Phys. A 24 3701 (1991)
    Basin of attraction of the optimal perceptron with biased patterns
  • A. Engel, M. Weigt; J. Phys. A 24 3707 (1991)
    Storage capacity of the truncated projection rule
  • T. Schnelle, A. Engel; Phys. Lett. A 156 69 (1991)
    Robustness and information capacity of learning rules for neural network models
  • W. Ebeling, A. Engel, L. Schimansky-Geier, C. Zülicke; Physica D 49 170 (1991)
    Dynamics of fronts, nuclei and patterns in 2d random media
  • M. Bouten, A. Engel, A. Komoda, R. Serneels; J. Phys. A 23 4643 (1990)
    Quenched versus annealed dilution in neural networks
  • A. Engel, M. Bouten, A. Komoda, R. Serneels; Phys. Rev. A 42 4998 (1990)
    Enlarged basin of attraction in neural networks with persistent stimuli
  • A. Engel; J. Phys. A 23 2587 (1990)
    Storage of hierarchically correlated patterns
  • A. Engel; J. Phys. A 23 L285 (1990)
    Storage capacity for hierarchically correlated patterns
  • A. Engel, H. Englisch, A. Schütte; Europhys. Lett. 8 393 (1989)
    Improved retrieval in neural networks by means of input-dependent thresholds
  • A. Engel, F. Moss; Phys. Rev. A 38 571 (1988)
    Mean first passage time in random fields
  • A. Engel, S. Großmann, A. S. Mikhailov; Z. Phys. B 70 101 (1988)
    Decay and diffusion in hierarchically organized systems
  • S. Großmann, A. Engel, A. S. Mikhailov; Phys. Lett. A 126 239 (1988)
    Decay and diffusion in hierarchical systems
  • T. Boseniuk, W. Ebeling, A. Engel; Phys. Lett. A 125 307 (1987)
    Boltzmann and Darwinian strategies in complex optimization
  • A. Engel, W. Ebeling; Phys. Rev. Lett. 59 1979 (1987)
    Comment on 'Diffusion in a random potential: Hopping as a dynamical consequence of localization'
  • A. Engel, W. Ebeling; Phys. Lett. A 122 20 (1987)
    Interaction of moving interfaces with obstacles
  • W. Ebeling, A. Engel; Syst. Anal. Model. Sim. 5 377 (1986)
    Models of evolutionary systems and their application to optimization problems
  • A. Engel; Wiss. Zeitsch. Humboldt-Univ. 35 418 (1986)
    Frustration in komplexen Systemen
  • W. Ebeling, A. Engel, V. G. Mazenko; Bio Systems 19 213 (1986)
    Models of selection processes with age-dependent birth- and death rates
  • A. S. Mikhailov, A. Engel; Phys. Lett. A 117 257 (1986)
    Multiple target pattern formation and synchronization phenomena
  • A. Engel; Phys. Lett. A 113 139 (1985)
    Noise-induced front propagation in a bistable system
  • A. Engel; J. Physique Lett. 46 409 (1985)
    Metastability and possible failure of iteration methods
  • W. Ebeling, A. Engel, B. Esser, R. Feistel; J. Stat. Phys. 37 369 (1984)
    Diffusion and reaction in random media and models of evolution processes
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