The sphericalp-spin interaction spin glass model: the statics

Crisanti, A., Sommers, H. -J.·1992·Zeitschrift f�r Physik B Condensed Matter
DOI 10.1007/bf01309287

Cited by (477)

Items 201–300 of 477

  1. Pressure-induced orientational glass phase in molecular para-hydrogen
    T. I. Schelkacheva, Elena E. Tareyeva, N. M. Chtchelkatchev · 2009 · Physical Review E
  2. Aging and Effective Temperatures in the Low Temperature Mode-Coupling Equations
    Leticia F. Cugliandolo, Jorge Kurchan B · 1997 · Progress of Theoretical Physics Supplement
  3. To Maximize or Not to Maximize the Free Energy of Glassy Systems
    Theo M. Nieuwenhuizen · 1995 · Physical Review Letters
  4. Replica analysis of thep-spin interaction Ising spin-glass model
    Viviane Moraes de Oliveira, José F. Fontanari · 1999 · Journal of Physics A Mathematical and General
  5. Numerical and analytical analyses of a matrix model with non-pairwise contracted indices
    Naoki Sasakura, Shingo Takeuchi · 2020 · The European Physical Journal C
  6. Optimizing mean field spin glasses with external field
    Mark Sellke · 2024 · Electronic Journal of Probability
  7. Enhanced Associative Memory, Classification, and Learning with Active Dynamics
    Agnish Kumar Behera, Madan Rao, Srikanth Sastry, Suriyanarayanan Vaikuntanathan · 2023 · Physical Review X
  8. Statistical mechanical approach to secondary processes and structural relaxation in glasses and glass formers
    A. Crisanti, Luca Leuzzi, Matteo Paoluzzi · 2011 · The European Physical Journal E
  9. Central limit theorem near the critical temperature for the overlap in the 2-spin spherical SK model
    Vu Lan Nguyen, Philippe Sosoe · 2019 · Journal of Mathematical Physics
  10. Waiting-time dependent non-equilibrium phase diagram of simple glass- and gel-forming liquids
    Jesús Benigno Zepeda-López, Magdaleno Medina-Noyola · 2021 · The Journal of Chemical Physics
  11. Exactly solvable spin–glass models with ferromagnetic couplings: The spherical multi-p-spin model in a self-induced field
    A. Crisanti, Luca Leuzzi · 2013 · Nuclear Physics B
  12. Equilibrium dynamics of spin-glass systems
    A. Crisanti, Luca Leuzzi · 2007 · Physical Review B
  13. Algorithmic Thresholds in Mean Field Spin Glasses
    Alaoui, Ahmed El, Andrea Montanari A · 2020 · arXiv (Cornell University)
  14. Shattering versus metastability in spin glasses
    Gérard Ben Arous, Aukosh Jagannath · 2023 · Communications on Pure and Applied Mathematics
  15. Comment on “Spherical 2+p spin-glass model: An analytically solvable model with a glass-to-glass transition”
    Vincent Krakoviack · 2007 · Physical Review B
  16. A random matrix model with non-pairwise contracted indices
    Luca Lionni, Naoki Sasakura · 2019 · Progress of Theoretical and Experimental Physics
  17. Statistical mechanics of low-rank tensor decomposition*
    Jonathan Kadmon, Surya Ganguli · 2019 · Journal of Statistical Mechanics Theory and Experiment
  18. Barriers, trapping times, and overlaps between local minima in the dynamics of the disordered Ising p -spin model
    Daniel A. Stariolo, Leticia F. Cugliandolo · 2020 · Physical review. E
  19. Self-generated disorder and structural glass formation in homopolymer globules
    V. G. Rostiashvili, G. Migliorini, Thomas A. Vilgis · 2001 · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  20. Averaging and finite-size analysis for disorder: The Hopfield model
    Thomas Stiefvater, Klaus‐Robert Müller, Reimer Kühn · 1996 · Physica A Statistical Mechanics and its Applications
  21. Off-equilibrium confined dynamics in a glassy system with level-crossing states
    Barbara Capone, Tommaso Castellani, Irene Giardina, Federico Ricci‐Tersenghi · 2006 · Physical Review B
  22. Phases of a matrix model with non-pairwise index contractions
    Dennis Obster, Naoki Sasakura · 2020 · Progress of Theoretical and Experimental Physics
  23. Equilibrium fluctuations in mean-field disordered models
    Giampaolo Folena, Giulio Biroli, Patrick Charbonneau, Yi Hu, Francesco Zamponi · 2022 · Physical review. E
  24. Basins of attraction of metastable states of the spherical p -spin model
    Alain Barrat, Silvio Franz · 1998 · Journal of Physics A Mathematical and General
  25. Legendre Duality of Spherical and Gaussian Spin Glasses
    Giuseppe Genovese, Daniele Tantari · 2015 · Mathematical Physics Analysis and Geometry
  26. Solving the spherical p -spin model with the cavity method: equivalence with the replica results
    Giacomo Gradenigo, Maria Chiara Angelini, Luca Leuzzi, Federico Ricci‐Tersenghi · 2020 · Journal of Statistical Mechanics Theory and Experiment
  27. Are mean-field spin-glass models relevant for the structural glass transition?
    A. Crisanti, Félix Ritort · 2000 · RePEc: Research Papers in Economics
  28. Barriers in the p -Spin Interacting Spin-Glass Model: The Dynamical Approach
    A. V. Lopatin, L. B. Ioffe · 2000 · Physical Review Letters
  29. Different scenarios for critical glassy dynamics
    Sergio Ciuchi, A. Crisanti · 2000 · Europhysics Letters (EPL)
  30. Effective temperatures in an exactly solvable model for a fragile glass
    Luca Leuzzi, Theo M. Nieuwenhuizen · 2001 · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  31. Arrangement of nearby minima and saddles in the mixed spherical energy landscapes
    Jaron Kent-Dobias · 2024 · SciPost Physics
  32. Functional renormalization group for multilinear disordered Langevin dynamics I Formalism and first numerical investigations at equilibrium
    Vincent Lahoche, Dine Ousmane Samary, Mohamed Ouerfelli · 2022 · Journal of Physics Communications
  33. Parisi Phase in a Neuron
    G. Györgyi, Peter Reimann · 1997 · Physical Review Letters
  34. Shattering in Pure Spherical Spin Glasses
    Ahmed El Alaoui, Andrea Montanari A, Mark Sellke · 2025 · Communications in Mathematical Physics
  35. Free energy fluctuations of the two-spin spherical SK model at critical temperature
    Benjamin Landon · 2022 · Journal of Mathematical Physics
  36. Localization in Gaussian disordered systems at low temperature
    Erik Bates, Sourav Chatterjee · 2020 · The Annals of Probability
  37. Full versus first-stage replica symmetry breaking in spin glasses
    T. I. Schelkacheva, Elena E. Tareyeva, N. M. Chtchelkatchev · 2010 · Physical Review B
  38. Dynamical arrest in a geometric model for the glass transition
    Kenneth A. Dawson, Silvio Franz, Mauro Sellitto · 2003 · Europhysics Letters (EPL)
  39. Crossover from stationary to aging regime in glassy dynamics
    Alexei Andreanov, Alexandre Lefèvre · 2006 · Europhysics Letters (EPL)
  40. Large deviations of glassy effective potentials
    Silvio Franz, Jacopo Rocchi · 2020 · Journal of Physics A Mathematical and Theoretical
  41. Reply to “Comment on ‘Spherical 2+p spin-glass model: An analytically solvable model with a glass-to-glass transition’ ”
    A. Crisanti, Luca Leuzzi · 2007 · Physical Review B
  42. The number of saddles of the spherical $p$-spin model
    Antonio Auffinger, Gold, Julian · 2020 · arXiv (Cornell University)
  43. Introduction to the dynamics of disordered systems: Equilibrium and gradient descent
    Giampaolo Folena, Alessandro Manacorda, Francesco Zamponi · 2022 · Physica A Statistical Mechanics and its Applications
  44. Evidence of a one-step replica symmetry breaking in a three-dimensional Potts glass model
    Takashi Takahashi, Koji Hukushima · 2015 · Physical Review E
  45. Improved pseudolikelihood regularization and decimation methods on non-linearly interacting systems with continuous variables
    Alessia Marruzzo, Payal Tyagi, Fabrizio Antenucci, Andrea Pagnani, Luca Leuzzi · 2018 · SciPost Physics
  46. Complex complex landscapes
    Jaron Kent-Dobias, Jorge Kurchan B · 2021 · Physical Review Research
  47. About the de Almeida–Thouless line in neural networks
    Linda Albanese, Andrea Alessandrelli, Alessia Annibale, Adriano Barra A · 2023 · Physica A Statistical Mechanics and its Applications
  48. The free energy of spherical pure p-spin models: computation from the TAP approach
    Eliran Subag · 2023 · Probability Theory and Related Fields
  49. Linear low energy excitations in fully-connected models of glasses
    Silvio Franz, Flavio Nicoletti, Federico Ricci‐Tersenghi · 2022 · Journal of Statistical Mechanics Theory and Experiment
  50. Accelerating, to some extent, the p -spin dynamics
    Federico Ghimenti, Frédéric van Wijland · 2022 · Physical review. E
  51. Ground-state configuration space heterogeneity of random finite-connectivity spin glasses and random constraint satisfaction problems
    Haijun Zhou, Chuang Wang · 2010 · Journal of Statistical Mechanics Theory and Experiment
  52. The Full Replica Symmetry Breaking in the Ising Spin Glass on Random Regular Graph
    Francesco Concetti · 2018 · Journal of Statistical Physics
  53. The number of metastable states in the generalized random orthogonal model
    Raphaël Cherrier, David S. Dean, A Lef vre · 2003 · Journal of Physics A Mathematical and General
  54. Fragility in p -spin models
    Giorgio Parisi A, Giancarlo Ruocco, Francesco Zamponi · 2004 · Physical Review E
  55. Critical Fluctuations for the Spherical Sherrington-Kirkpatrick Model in an External Field
    Pax Kivimae · 2019 · arXiv (Cornell University)
  56. Super-Potts glass: A disordered model for glass-forming liquids
    Maria Chiara Angelini, Giulio Biroli · 2014 · Physical Review B
  57. Critical slowing down exponents in structural glasses: Random orthogonal and related models
    F. Caltagirone, Ulisse Ferrari, Luca Leuzzi, Giorgio Parisi A, Tommaso Rizzo · 2012 · Physical Review B
  58. On free energy barriers in Gaussian priors and failure of cold start MCMC for high-dimensional unimodal distributions
    Afonso S. Bandeira, Antoine Maillard, Richard Nickl, Sven Wang · 2023 · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
  59. Overlaps between eigenvectors of spiked, correlated random matrices: From matrix principal component analysis to random Gaussian landscapes
    Alessandro Pacco, Valentina Ros · 2023 · Physical review. E
  60. Equilibrium Dynamics of Infinite-Range Quantum Spin Glasses in a Field
    Maria Tikhanovskaya, Subir Sachdev A, Rhine Samajdar · 2024 · PRX Quantum
  61. A simple spin model for three step relaxation and secondary processes in glass formers
    A. Crisanti, Luca Leuzzi · 2014 · Journal of Non-Crystalline Solids
  62. Large deviations of the free energy in the p -spin glass spherical model
    Mauro Pastore, Andrea Di Gioacchino, Pietro Rotondo · 2019 · Physical Review Research
  63. Partition-function zeros of spherical spin glasses and their relevance to chaos
    Tomoyuki Obuchi, Kazutaka Takahashi · 2012 · Journal of Physics A Mathematical and Theoretical
  64. Partition-function zeros of spherical spin glasses and their relevance to chaos
    Tomoyuki Obuchi, Tomoyuki Obuchi, Kazutaka Takahashi · 2016 · Tokyo Tech Research Repository (Tokyo Institute of Technology)
  65. Spin glasses, glasses and granular materials
    Antonio Coniglio A · 1998 · Philosophical Magazine B
  66. High-dimensional non-convex landscapes and gradient descent dynamics
    Tony Bonnaire, Davide Ghio, Kamesh Krishnamurthy, Francesca Mignacco, Atsushi Yamamura, Giulio Biroli · 2024 · Journal of Statistical Mechanics Theory and Experiment
  67. A note on weakly discontinuous dynamical transitions
    Silvio Franz, Giorgio Parisi A, Federico Ricci‐Tersenghi, Tommaso Rizzo, Pierfrancesco Urbani · 2013 · The Journal of Chemical Physics
  68. Role of initial conditions in the dynamics of quantum glassy systems
    Leticia F. Cugliandolo, Gustavo Sergio Lozano, Nicolás Nessi · 2019 · Journal of Statistical Mechanics Theory and Experiment
  69. Role of initial conditions in the dynamics of quantum glassy systems
    Leticia F. Cugliandolo, Gustavo Sergio Lozano, Nessi, Emilio Nicolás · 2019 · Conicet
  70. Real tensor eigenvalue/vector distributions of the Gaussian tensor model via a four-fermi theory
    Naoki Sasakura · 2022 · Progress of Theoretical and Experimental Physics
  71. A Friendly Tutorial on Mean-Field Spin Glass Techniques for Non-Physicists
    Andrea Montanari A, Subhabrata Sen · 2024 · Foundations and Trends® in Machine Learning
  72. Replica analysis of partition-function zeros in spin-glass models
    Kazutaka Takahashi · 2011 · Journal of Physics A Mathematical and Theoretical
  73. On the p-spin interaction transverse Ising spin-glass model without replicas
    L. De Cesare, K. Lukierska‐Walasek, Ileana Rabuffo, Katarzyna Walasek · 1995 · Physica A Statistical Mechanics and its Applications
  74. PDE/Statistical Mechanics Duality: Relation Between Guerra’s Interpolated p-Spin Ferromagnets and the Burgers Hierarchy
    Alberto Fachechi · 2021 · Journal of Statistical Physics
  75. Equilibrium and ageing dynamics of simple models for glasses
    A. Crisanti, Félix Ritort · 2000 · Journal of Physics Condensed Matter
  76. Memory effects in classical and quantum mean-field disordered models
    Leticia F. Cugliandolo, Gustavo Sergio Lozano, H. Lozza · 2008
  77. Specific Heat Anomaly in a Supercooled Liquid with Amorphous Boundary Conditions
    Daniel A. Mártin, Andrea Cavagna, Tomás S. Grigera · 2015 · Physical Review Letters
  78. The Spherical $$p+s$$ Spin Glass at Zero Temperature
    Antonio Auffinger, Yuxin Zhou · 2025 · Communications in Mathematical Physics
  79. Inverse problem for multi-body interaction of nonlinear waves
    Alessia Marruzzo, Payal Tyagi, Fabrizio Antenucci, Andrea Pagnani, Luca Leuzzi · 2017 · PORTO Publications Open Repository TOrino (Politecnico di Torino)
  80. Signed distributions of real tensor eigenvectors of Gaussian tensor model via a four-fermi theory
    Naoki Sasakura · 2022 · Physics Letters B
  81. Exact analytic expressions of real tensor eigenvalue distributions of Gaussian tensor model for small N
    Naoki Sasakura · 2023 · Journal of Mathematical Physics
  82. Eigenvalue spectra of finely structured random matrices
    Lyle Poley, Tobias Galla, Joseph W. Baron · 2024 · Physical review. E
  83. Nonequilibrium dynamics in an amorphous solid
    Sunil Pratap Singh, Shankar Prasad Das · 2009 · Physical Review E
  84. Continuous and discontinuous transitions in generalizedp-spin glass models
    E E Tareyeva, T I Schelkacheva, N. M. Chtchelkatchev · 2014 · Journal of Physics A Mathematical and Theoretical
  85. One step replica symmetry breaking and overlaps between two temperatures
    Bernard Derrida, Peter Mottishaw · 2020 · Journal of Physics A Mathematical and Theoretical
  86. The Replica Approach to Glasses
    Giorgio Parisi A · 1997 · ACS symposium series
  87. A Note on the Guerra and Talagrand Theorems for Mean Field Spin Glasses: The Simple Case of Spherical Models
    Silvio Franz, Francesca Tria · 2006 · Journal of Statistical Physics
  88. Ultrametric matrices and representation theory
    P. Bántay, G Zala · 1997 · Journal of Physics A Mathematical and General
  89. Introduction to the SK model
    Dmitry Panchenko · 2014 · Current Developments in Mathematics
  90. Crossover from stationary to aging regime in glassy dynamics
    Alexei Andreanov, Alexandre Lefèvre, Yvette Cedex France · 2006
  91. Slow dynamics of glassy systems
    Giorgio Parisi A · 2008
  92. Soft modes in vector spin glass models on sparse random graphs
    Silvio Franz, Cosimo Lupo, Flavio Nicoletti, Giorgio Parisi A, Federico Ricci‐Tersenghi · 2025 · Physical review. B./Physical review. B
  93. A method that reveals the multi-level ultrametric tree hidden in p -spin-glass-like systems
    Roberto Baviera, Miguel Angel VIRASORO · 2015 · Journal of Statistical Mechanics Theory and Experiment
  94. Inverse problem for multi-body interaction of nonlinear waves
    Alessia Marruzzo, Payal Tyagi, Fabrizio Antenucci, Andrea Pagnani, Luca Leuzzi · 2017 · Scientific Reports
  95. TAP approach for multi-species spherical spin glasses I: General theory
    Eliran Subag · 2025 · Electronic Journal of Probability
  96. Replica symmetry breaking in spin glasses in the replica-free Keldysh formalism
    Johannes Lang, Subir Sachdev A, Sebastian Diehl · 2024 · SciPost Physics
  97. Dilution in Recurrent Neural Networks
    Toni Verbeiren · 2003
  98. New exactly solvable model: “spherical” 3-state Potts model
    N. V. Gribova, Valentin Nikolaevich Ryzhov, Elena E. Tareyeva · 2005 · Physics Letters A
  99. High-dimensional Gaussian fields with isotropic increments seen through spin glasses
    Anton Klimovsky · 2012 · Electronic Communications in Probability
  100. Diffusions interacting through a random matrix: universality via stochastic Taylor expansion
    Amir Dembo, Reza Gheissari · 2021 · Probability Theory and Related Fields