Self-Organized Bistability Associated with First-Order Phase Transitions.

Self-organized criticality elucidates the conditions under which physical and biological systems tune themselves to the edge of a second-order phase transition, with scale invariance. Motivated by the empirical observation of bimodal distributions of activity in neuroscience and other fields, we propose and analyze a theory for the self-organization to the point of phase coexistence in systems exhibiting a first-order phase transition. It explains the emergence of regular avalanches with attributes of scale invariance that coexist with huge anomalous ones, with realizations in many fields.

[1]  Gabriele Arnulfo,et al.  Bistability breaks-off deterministic responses to intracortical stimulation during non-REM sleep , 2015, NeuroImage.

[2]  Sanjay Tyagi Tuning noise in gene expression , 2015, Molecular systems biology.

[3]  M. A. Muñoz,et al.  Eluding catastrophic shifts , 2015, Proceedings of the National Academy of Sciences.

[4]  KAY Joerg WIESE Coherent-state path integral versus coarse-grained effective stochastic equation of motion: From reaction diffusion to stochastic sandpiles. , 2015, Physical review. E.

[5]  D. Plenz,et al.  On the temporal organization of neuronal avalanches , 2014, Front. Syst. Neurosci..

[6]  M. A. Muñoz,et al.  Stochastic Amplification of Fluctuations in Cortical Up-States , 2012, PloS one.

[7]  D. Sornette,et al.  Dragon-kings: Mechanisms, statistical methods and empirical evidence , 2012, 1205.1002.

[8]  L. de Arcangelis,et al.  Are dragon-king neuronal avalanches dungeons for self-organized brain activity? , 2012 .

[9]  M. A. Muñoz,et al.  Quasi-Neutral Theory of Epidemic Outbreaks , 2011, PloS one.

[10]  V. Poghosyan,et al.  Numerical study of the correspondence between the dissipative and fixed-energy Abelian sandpile models. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  B. Meerson,et al.  Extinction rates of established spatial populations. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Hilbert J. Kappen,et al.  Irregular Dynamics in Up and Down Cortical States , 2010, PloS one.

[13]  Hang-Hyun Jo,et al.  Comment on "Driving sandpiles to criticality and beyond". , 2010, Physical review letters.

[14]  D. Wilson,et al.  Driving sandpiles to criticality and beyond. , 2009, Physical review letters.

[15]  M. A. Muñoz,et al.  Self-organization without conservation: true or just apparent scale-invariance? , 2009, 0905.1799.

[16]  M. A. Muñoz,et al.  Cusps, self-organization, and absorbing states. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  D. Dhar Theoretical studies of self-organized criticality , 2006 .

[18]  Misha Tsodyks,et al.  The Emergence of Up and Down States in Cortical Networks , 2006, PLoS Comput. Biol..

[19]  M. A. Muñoz,et al.  Generic two-phase coexistence in nonequilibrium systems , 2004, cond-mat/0411578.

[20]  P. Alstrøm,et al.  COMPLEXITY AND CRITICALITY , 2004 .

[21]  M. A. Muñoz,et al.  Integration of Langevin equations with multiplicative noise and the viability of field theories for absorbing phase transitions. , 2004, Physical review letters.

[22]  Eduardo Sontag,et al.  Untangling the wires: A strategy to trace functional interactions in signaling and gene networks , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[23]  John M. Beggs,et al.  Neuronal Avalanches in Neocortical Circuits , 2003, The Journal of Neuroscience.

[24]  N. Yoshioka A sandpile experiment and its implications for self-organized criticality and characteristic earthquake , 2003 .

[25]  C. Castellano,et al.  Average shape of a fluctuation: universality in excursions of stochastic processes. , 2003, Physical review letters.

[26]  Zapperi,et al.  Absorbing-state phase transitions in fixed-energy sandpiles , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[27]  H. Hinrichsen Non-equilibrium critical phenomena and phase transitions into absorbing states , 2000, cond-mat/0001070.

[28]  M. A. Muñoz,et al.  Paths to self-organized criticality , 1999, cond-mat/9910454.

[29]  M. A. Muñoz,et al.  Avalanche and spreading exponents in systems with absorbing states. , 1998, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[30]  M. A. Muñoz,et al.  DRIVING, CONSERVATION, AND ABSORBING STATES IN SANDPILES , 1998, cond-mat/9806249.

[31]  Henrik Jeldtoft Jensen,et al.  Self-Organized Criticality , 1998 .

[32]  Henrik Jeldtoft Jensen,et al.  Self-Organized Criticality: Emergent Complex Behavior in Physical and Biological Systems , 1998 .

[33]  David M. Raup,et al.  How Nature Works: The Science of Self-Organized Criticality , 1997 .

[34]  Christensen,et al.  Tracer Dispersion in a Self-Organized Critical System. , 1996, Physical review letters.

[35]  Stanley,et al.  Self-organized branching processes: Mean-field theory for avalanches. , 1995, Physical review letters.

[36]  J. Sethna,et al.  Avalanches, Barkhausen noise, and plain old criticality. , 1995, Physical review letters.

[37]  Kurt Wiesenfeld,et al.  Stochastic resonance and the benefits of noise: from ice ages to crayfish and SQUIDs , 1995, Nature.

[38]  P. Bak,et al.  Field Theory for a Model of Self-Organized Criticality , 1994 .

[39]  A. Fisher,et al.  The Theory of critical phenomena , 1992 .

[40]  S. S. Manna Two-state model of self-organized criticality , 1991 .

[41]  J. Essam,et al.  Directed compact percolation: cluster size and hyperscaling , 1989 .

[42]  Peter Grassberger,et al.  Directed percolation in 2+1 dimensions , 1989 .

[43]  Tang,et al.  Self-Organized Criticality: An Explanation of 1/f Noise , 2011 .

[44]  Kurt Binder,et al.  Theory of first-order phase transitions , 1987 .

[45]  A. Lesne,et al.  Self-Organised Criticality , 2012 .

[46]  E. Bonabeau How nature works: The science of self-organized criticality (copernicus) , 1997 .

[47]  Per Bak,et al.  How Nature Works , 1996 .

[48]  J. Vannimenus,et al.  SCALE INVARIANCE, INTERFACES AND NON-EQUILIBRIUM DYNAMICS , 1995 .

[49]  G. Caldarelli scale invariance , 2022 .

[50]  October I Physical Review Letters , 2022 .

[51]  Physical Review Letters 63 , 1989 .