Publications
88 results found
Reichenbach T, Hudspeth AJ, 2011, Unidirectional Mechanical Amplification as a Design Principle for an Active Microphone, PHYSICAL REVIEW LETTERS, Vol: 106, ISSN: 0031-9007
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- Citations: 7
Melbinger A, Reichenbach T, Franosch T, et al., 2011, Driven transport on parallel lanes with particle exclusion and obstruction, PHYSICAL REVIEW E, Vol: 83, ISSN: 1539-3755
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- Citations: 19
Rulands S, Reichenbach T, Frey E, 2011, Threefold way to extinction in populations of cyclically competing species, JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, ISSN: 1742-5468
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- Citations: 23
Reichenbach T, Hudspeth AJ, 2011, Unidirectional Amplification as a Mechanism for Low-Frequency Hearing in Mammals, 11th International Workshop on the Mechanics of Hearing, Publisher: AMER INST PHYSICS, ISSN: 0094-243X
Frey E, Reichenbach T, 2011, Bacterial Games, PRINCIPLES OF EVOLUTION: FROM THE PLANCK EPOCH TO COMPLEX MULTICELLULAR LIFE, Editors: MeyerOrtmanns, Thurner, Publisher: SPRINGER, Pages: 297-329, ISBN: 978-3-642-18136-8
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- Citations: 13
Reichenbach T, Hudspeth AJ, 2010, Dual Contribution to Amplification in the Mammalian Inner Ear, PHYSICAL REVIEW LETTERS, Vol: 105, ISSN: 0031-9007
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- Citations: 16
Winkler AA, Reichenbach T, Frey E, 2010, Coexistence in a one-dimensional cyclic dominance process, PHYSICAL REVIEW E, Vol: 81, ISSN: 1539-3755
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- Citations: 17
Andrae B, Cremer J, Reichenbach T, et al., 2010, Entropy Production of Cyclic Population Dynamics, PHYSICAL REVIEW LETTERS, Vol: 104, ISSN: 0031-9007
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- Citations: 45
Reichenbach T, Hudspeth AJ, 2010, A ratchet mechanism for amplification in low-frequency mammalian hearing, PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, Vol: 107, Pages: 4973-4978, ISSN: 0027-8424
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- Citations: 35
Reichenbach T, Hudspeth AJ, 2010, A Ratchet Mechanism for Low-Frequency Hearing in Mammals, BIOPHYSICAL JOURNAL, Vol: 98, Pages: 738A-738A, ISSN: 0006-3495
Cremer J, Reichenbach T, Frey E, 2009, The edge of neutral evolution in social dilemmas, NEW JOURNAL OF PHYSICS, Vol: 11, ISSN: 1367-2630
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- Citations: 37
Reichenbach T, Mobilia M, Frey E, 2009, Stochastic Effects On Biodiversity In Cyclic Coevolutionary Dynamics, Biophysical Journal, Vol: 96, Pages: 631a-632a, ISSN: 0006-3495
Reichenbach T, Mobilia M, Frey E, 2009, Stochastic Effects On Biodiversity In Cyclic Coevolutionary Dynamics, Publisher: CELL PRESS, Pages: 631A-632A, ISSN: 0006-3495
Berr M, Reichenbach T, Schottenloher M, et al., 2009, Zero-One Survival Behavior of Cyclically Competing Species, PHYSICAL REVIEW LETTERS, Vol: 102, ISSN: 0031-9007
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- Citations: 98
Reichenbach T, Mobilia M, Frey E, 2008, Self-organization of mobile populations in cyclic competition, JOURNAL OF THEORETICAL BIOLOGY, Vol: 254, Pages: 368-383, ISSN: 0022-5193
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- Citations: 121
Reichenbach T, Franosch T, Frey E, 2008, Domain wall delocalization, dynamics and fluctuations in an exclusion process with two internal states, EUROPEAN PHYSICAL JOURNAL E, Vol: 27, Pages: 47-56, ISSN: 1292-8941
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- Citations: 12
Reichenbach T, Frey E, 2008, Instability of Spatial Patterns and Its Ambiguous Impact on Species Diversity, Physical Review Letters, Vol: 101, ISSN: 0031-9007
Cremer J, Reichenbach T, Frey E, 2008, Anomalous finite-size effects in the Battle of the Sexes, EUROPEAN PHYSICAL JOURNAL B, Vol: 63, Pages: 373-380, ISSN: 1434-6028
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- Citations: 23
Mobilia M, Reichenbach T, Hinsch H, et al., 2008, Generic principles of active transport, Stochastic Models in Biological Sciences, Publisher: Institute of Mathematics Polish Academy of Sciences
Reichenbach T, Mobilia M, Frey E, 2007, Noise and correlations in a spatial population model with cyclic competition, PHYSICAL REVIEW LETTERS, Vol: 99, ISSN: 0031-9007
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- Citations: 147
Reichenbach T, Mobilia M, Frey E, 2007, Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games, NATURE, Vol: 448, Pages: 1046-1049, ISSN: 0028-0836
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- Citations: 538
Reichenbach T, Frey E, Franosch T, 2007, Traffic jams induced by rare switching events in two-lane transport, NEW JOURNAL OF PHYSICS, Vol: 9, ISSN: 1367-2630
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- Citations: 49
Reichenbach T, Mobilia M, Frey E, 2006, Coexistence versus extinction in the stochastic cyclic Lotka-Volterra model, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol: 74, ISSN: 1539-3755
Cyclic dominance of species has been identified as a potential mechanism to maintain biodiversity, see, e.g., B. Kerr, M. A. Riley, M. W. Feldman and B. J. M. Bohannan [Nature 418, 171 (2002)] and B. Kirkup and M. A. Riley [Nature 428, 412 (2004)]. Through analytical methods supported by numerical simulations, we address this issue by studying the properties of a paradigmatic non-spatial three-species stochastic system, namely, the “rock-paper- scissors†or cyclic Lotka-Volterra model. While the deterministic approach (rate equations) predicts the coexistence of the species resulting in regular (yet neutrally stable) oscillations of the population densities, we demonstrate that fluctuations arising in the system with a finite number of agents drastically alter this picture and are responsible for extinction: After long enough time, two of the three species die out. As main findings we provide analytic estimates and numerical computation of the extinction probability at a given time. We also discuss the implications of our results for a broad class of competing population systems. © 2006 The American Physical Society.
Reichenbach T, Mobilia M, Frey E, 2006, Coexistence versus extinction in the stochastic cyclic Lotka-Volterra model, PHYSICAL REVIEW E, Vol: 74, ISSN: 1539-3755
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- Citations: 196
Reichenbach T, Franosch T, Frey E, 2006, Exclusion processes with internal states, PHYSICAL REVIEW LETTERS, Vol: 97, ISSN: 0031-9007
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- Citations: 65
Reichenbach T, 2005, Retarded functions in noncommutative theories, PHYSICS LETTERS B, Vol: 612, Pages: 275-282, ISSN: 0370-2693
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- Citations: 1
Reichenbach T, 2005, Retarded functions in noncommutative theories, Physics Letters B, Vol: 612, Pages: 275-282, ISSN: 0370-2693
Reichenbach T, 2005, Violation of remaining Lorentz symmetry in the approach of time-ordered perturbation theory to space-time noncommutativity, PHYSICS LETTERS B, Vol: 606, Pages: 403-407, ISSN: 0370-2693
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- Citations: 4
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