Statistical Physics


The Statistical Physics group is a theoretical research team interested in the statistical mechanics of disordered systems applying related techniques, both analytic and computational, to a large variety of complex problems. The group activity is mainly related to

  • deepen and solve old and new open issues in the theory of structural glasses and theories for systems with intrinsic frustration such as spin-glasses,
  • investigate constraint satisfaction and optimisation problems and the structure of solutions in the hard computational cases.
  • test and develop methods for statistical inference in the general framework of solving inverse problems,
  • adapt and apply statistical mechanics to photonics in presence of nonperturbative disorder, ranging from light propagation in random media to random lasers,
  • investigate biological organisms by means of theoretical methods and mathematical modeling, analyse the interaction of biological structures at the molecular level and the connections among different subsystems in large-scale networks through computer simulations, with a focus on proteins and metabolism,
  • study turbulence, intermittency and dissipative processes in non-collisional plasmas through theoretical investigation, numerical simulations and data analysis,
  • develop and test parallel computation on single and multi GPU for continuous variables Monte Carlo dynamics, Population dynamics for Belief propagation and Cavity method in random graphs, and Pseudolikelihood maximisation.


People Involved


De Martino

CNR Researcher

Group Supervisor



CNR Researcher



Post Doc CNR Associate



CNR Associate, Università La Sapienza



CNR Researcher

Group Supervisor



CNR PostDoc



CNR Associate, Università La Sapienza



CNR Reseacher



Post Doc CNR Associate



CNR Associate, Università La Sapienza

Facilities & Labs

GPU clusters @ Department of Physics of Sapienza University

Research Lines


  1. P Tyagi, A Marruzzo, A Pagnani, F Antenucci, L Leuzzi, Regularization and decimation pseudolikelihood approaches to statistical inference in XY-spin models, Physical Review B 94, 024203 (2016), Doi: 10.1103/PhysRevB.94.024203.
  2. A Marruzzo, L Leuzzi, Multi-body quenched disordered XY and p-clock models on random graphs. Physical Review B 93, 094206 (2016) Doi: 10.1103/PhysRevB.93.094206.
  3. M Mori, T Hwa, OC Martin, A De Martino and E Marinari. Constrained Allocation Flux Balance Analysis. PLoS Comp Biol 12:e1004913 (2016) Doi: 10.1371/journal.pcbi.1004913
  4. A Martirosyan, M Figliuzzi, E Marinari and A De Martino. Probing the limits to microRNA-mediated control of gene expression. PLoS Comp Biol 12: e1004715 (2016) Doi: 10.1371/journal.pcbi.1004715
  5. D De Martino et al, Growth against entropy in bacterial metabolism: the phenotypic trade-off behind empirical growth rate distributions in E. coli, Phys Biol 13:036005 (2016). DOI:1088/1478-3975/13/3/036005
  6. S Grigolon et al, Noise Processing by MicroRNA-Mediated Circuits: the Incoherent Feed-Forward Loop, Revisited, Heliyon 2:e00095 (2016). DOI:  1016/j.heliyon.2016.e00095
  7. F Antenucci, A Crisanti, M Ibáñez-Berganza, A Marruzzo, L Leuzzi, Statistical mechanics models for multimode lasers and random lasers.  Philosophical Magazine 96, 704-731 (2016) Doi: 10.1080/14786435.2016.1145359.
  8. F Antenucci, Statistical Physics of Wave Interactions, Springer (2016).
  9. R Marino, G Parisi, F Ricci-Tersenghi, The backtracking survey propagation algorithm for solving random K-SAT problems, Nat. Common. 7, 12996 (2016),  DOI: 10.1038/ncomms12996.
  10. A Decelle, F Ricci-Tersenghi, Data quality for the inverse Ising problem, J. Phys. A 49,  384001 (2016),  DOI: 10.1088/1751-8113/49/38/384001
  11. A Decelle, F Ricci-Tersenghi,  Solving the inverse Ising problem by mean-field methods in a clustered phase space with many states,  Phys. Rev. E 94, 012112 (2016) DOI: 10.1103/PhysRevE.94.012112
  12. P Contucci, E Panizzi, F Ricci-Tersenghi, A Sirbu, Egalitarianism in the rank aggregation problem: a new dimension for democracy, Quality and Quantity, 50, 1185 (2016), DOI: 10.1007/s11135-015-0197-x
  13. A Javanmard, A Montanari, F Ricci-Tersenghi, Phase transitions in semidefinite relaxations, 113, E2218 (2016), DOI: 10.1073/pnas.1523097113
  14. I Maccari, A Maiorano, E Marinari, JJ Ruiz-Lorenzo, JJ, A numerical study of planar arrays of correlated spin islands, Eur. Pays. J B  89, 127 (2016),  DOI: 10.1140/epjb/e2016-70171-x
  15. LA Fernandez et al., Universal critical behavior of the two-dimensional Ising spin glass, Phys. Rev. B 94, 024402 (2016),  DOI: 10.1103/PhysRevB.94.024402
  16. F Valentini, D Perrone, S Stabile, O Pezzi, S Servidio, R De Marco, F Marcucci, R Bruno, B Lavraud, De Keyser, G Consolini, D Brienza, SorrisoValvo L, A Retinò, A Vaivads, M Salatti and P Veltri (2016). Differential kinetic dynamics and heating of ions in the turbulent solar wind. NEW JOURNAL OF PHYSICS, 18, 125001 (2016), doi:10.1088/1367-2630/18/12/125001
  17. Pucci F, Malara F, Perri S, Zimbardo G, SorrisoValvo L, Valentini F, Energetic particle transport in the presence of magnetic turbulence: influence of spectral extension and intermittency. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 459, 3395 (2016), doi: 10.1093/mnras/stw877
  18. Malara F, Di Mare F, Nigro G, SorrisoValvo L , Fast algorithm for a three-dimensional synthetic model of intermittent turbulence. PHYSICAL REVIEW. E, 94, 053109 (2016), doi: 10.1103/PhysRevE.94.053109
  19. Leonardis E, SorrisoValvo L, Valentini F, Servidio S, Carbone F, Veltri P (2016). Multifractal scaling and intermittency in hybrid Vlasov-Maxwell simulations of plasma turbulence. PHYSICS OF PLASMAS, 23, 022307 (2016), doi: 10.1063/1.4942417
  20. S Evoli, DL Mobley, R Guzzi, B Rizzuti, Multiple binding modes of ibuprofen in human serum albumin identified by absolute binding free energy calculations, Phys. Chem. Chem. Phys. 18 32358-32368 (2016), DOI: 10.1039/C6CP05680F
  21. JL Neira, S Martínez-Rodríguez, JG Hernández-Cifre, A Cámara-Artigas, P Clemente, S Peralta, MÁ Fernández-Moreno, R Garesse, J García de la Torre, B Rizzuti, Human COA3 is an oligomeric highly flexible protein in solution, Biochemistry 55 6209-6220 (2016), DOI: 10.1021/acs.biochem.6b00644
  22. JL Neira, B Rizzuti, JL Iovanna, Determinants of the pKa values of ionizable residues in an intrinsically disordered protein, Arch. Biochem. Biophys. 598 18-27 (2016), DOI: 10.1016/
  23. F Antenucci, MI Berganza, L Leuzzi, Statistical physics of nonlinear wave interaction,  Physical Review B 92, 014204 (2015) Doi: 10.1103/PhysRevB.92.014204 .
  24. F Antenucci, C Conti, A Crisanti, L Leuzzi, General phase diagram of multimodal ordered and disordered lasers in closed and open cavities.  Physical Review Letters 114, 043901 (2015) Doi: 10.1103/PhysRevLett.114.043901 .
  25. F Antenucci, A Crisanti, L Leuzzi, The glassy random laser: replica symmetry breaking in the intensity fluctuations of emission spectra,  Scientific reports 5, 16792 (2015) Doi:10.1038/srep16792.
  26. N Ghofraniha, I Viola, F Di Maria, G Barbarella, G Gigli, L Leuzzi, C Conti, Experimental evidence of replica symmetry breaking in random lasers,  Nature communications 6, 5 (2015) Doi:10.1038/ncomms7058.
  27. F Capuani et al, Quantitative constraint based computational model of tumor-to-stroma coupling via lactate shuttle, Sci Rep 5:11880 (2015). DOI: 10.1038/srep11880
  28. A Marruzzo, L Leuzzi, Nonlinear XY and p-clock models on sparse random graphs: Mode-locking transition of localized waves, Physical Review B 91, 054201 (2015) Doi: 10.1103/PhysRevB.91.054201.
  29. C Rainone, U Ferrari, M Paoluzzi, L Leuzzi, Dynamical arrest with zero complexity: The unusual behavior of the spherical Blume-Emery-Griffiths disordered model, Physical Review E 92, 062150 (2015)DOI: 10.1103/PhysRevE.92.062150 .
  30. L Leuzzi, G Parisi, F Ricci-Tersenghi, JJ Ruiz-Lorenzo,Infinite volume extrapolation in the one-dimensional bond diluted Levy spin-glass model near its lower critical dimension, Physical Review B 91, 064202 (2015) DOI: 10.1103/PhysRevB.91.064202.
  31. A Crisanti, L Leuzzi, A simple spin model for three step relaxation and secondary processes in glass formers, Journal of Non-Crystalline Solids 407, 110-117 (2015) DOI: 10.1016/j.jnoncrysol.2014.07.048.
  32. P Tyagi, A Pagnani, F Antenucci, M Ibanez Berganza, L Leuzzi, Inference for interacting linear waves in ordered and random media,  Journal of Statistical Mechanics: Theory and Experiment 2015 (5), Doi: 10.1088/1742-5468/2015/05/P05031
  33. F Antenucci, A Crisanti, L Leuzzi, Complex spherical 2+ 4 spin glass: A model for nonlinear optics in random media,  Physical Review A 91, 053816 (2015) Doi: 10.1103/PhysRevA.91.053816.
  34. F Antenucci, M Ibanez Berganza, L Leuzzi, Statistical physical theory of mode-locking laser generation with a frequency comb.  Physical Review A 91, 043811 (2015) Doi: 10.1103/PhysRevA.91.043811.
  35. S Franz, G Parisi, F Ricci-Tersenghi, P Urbani, Quasi equilibrium construction for the long time limit of glassy dynamics, JSTAT P10010 (2015), 10.1088/1742-5468/2015/10/P10010
  36. C Schulke, F Ricci-Tersenghi, Multiple phases in modularity-based community detection, Phys. Rev. E, 92, 042804 (2015),  DOI: 10.1103/PhysRevE.92.042804
  37. G Parisi, F Ricci-Tersenghi, D Yllanes, Explicit generation of the branching tree of states in spin glasses,  JSTAT P05002 (2915), DOI: 10.1088/1742-5468/2015/05/P05002
  38. G Parisi, F Ricci-Tersenghi, T Rizzo, Diluted mean-field spin-glass models at criticality, JSTAT  E03001 (2015), DOI: 10.1088/1742-5468/2015/03/E03001
  39. C Capone, C Filosa, G Gigante, F Ricci-Tersenghi, P Del Giudice, Inferring Synaptic Structure in Presence of Neural Interaction Time Scales, Plos One 10, e0118412 (2016),  DOI: 10.1371/journal.pone.0118412
  40. C Cammarota, E Marinari, Spontaneous energy-barrier formation in entropy-driven glassy dynamics, Phys. Rev. E 92, 0130301 (2015),  DOI: 10.1103/PhysRevE.92.010301 
  41. MS Mariani, G Parisi, C Rainone, Calorimetric glass transition in a mean-field theory approach,
  42. PNAS 112, 2361 (2015),  DOI: 10.1073/pnas.1500125112
  43. SorrisoValvo L, Marino R, Lijoi L, Perri S, Carbone V. SELF-CONSISTENT CASTAING DISTRIBUTION OF SOLAR WIND TURBULENT FLUCTUATIONS. THE ASTROPHYSICAL JOURNAL, 807 (2015), doi:10.1088/0004-637X/807/1/86
  44. SorrisoValvo L, G. De Vita, M. Kazachenko, S. Krucker, L. Primavera, S. Servidio, A. Vecchio, B. Welsch, G. Fisher, F. Lepreti, V. Carbone. Sign singularity and flares in solar active region NOAA 11158. THE ASTROPHYSICAL JOURNAL, 801, 36 (2015), doi:10.1088/0004-637X/801/1/36
  45. Chasapis A., Retinò A., Sahraoui F., Vaivads A., Khotyaintsev Y., Sundkvist D., Greco A., SorrisoValvo L, Canu P.. Thin current sheets and associated electron heating in turbulent space plasma. THE ASTROPHYSICAL JOURNAL LETTERS, 804, L1 (2005), doi: 10.1088/2041-8205/804/1/L1
  46. Rossi, F. Califano, A. Retinò, SorrisoValvo L, P. Henri, S. Servidio, F. Valentini, A. Chasapis, L. Rezeau. Two-fluid numerical simulations of turbulence inside Kelvin-Helmholtz vortices: Intermittency and reconnecting current sheets. PHYSICS OF PLASMAS, vol. 22, 122303 (2015), doi: 10.1063/1.4936795
  47. Carbone F, Ciuchi F, Mazzulla A, SorrisoValvo L , Anomalous Scaling, Intermittency and Turbulence in Nematic Liquid Crystals. MOLECULAR CRYSTALS AND LIQUID CRYSTALS, 614, 67 (2015), doi: 10.1080/15421406.2015.1049911
  48. Yordanova E., Perri S., SorrisoValvo L, Carbone V. Multipoint observation of anisotropy and intermittency in solar-wind turbulence. EUROPHYSICS LETTERS, 110, 19001 (2015), doi: 10.1209/0295-5075/110/19001
  49. B Rizzuti, R Bartucci, L Sportelli, R Guzzi, Fatty acid binding into the highest affinity site of human serum albumin observed in molecular dynamics simulation, Arch Biochem Biophys. 579 18-25 (2015), DOI: 10.1016/

Other Selected Publications

  1.  M Figliuzzi et al, RNA based regulation: dynamics and response to perturbations of competing RNAs. Biophys J 107:1011 (2014) Doi: 10.1016/j.bpj.2014.06.035.
  2. D De Martino, F Capuani and A De Martino. Inferring metabolic phenotypes from the exometabolome through a thermodynamic variational principle. New J Phys 16: 115018 (2014) Doi: 10.1088/1367-2630/16/11/115018
  3. A De Martino, D De Martino, R Mulet and A Pagnani. Identifying all moiety conservation laws in genome-scale metabolic networks, PLoS ONE 9:e100750  (2014)  Doi: 10.1371/journal.pone.0100750
  4. A Seganti, F Ricci Tersenghi and A De Martino. Searching for feasible stationary states in reaction net- works by solving a Boolean constraint satisfaction problem. Phys Rev E 89:022139 (2014) Doi: 10.1103/PhysRevE.89.022139
  5. FL Metz, G Parisi,  L Leuzzi, Finite-size corrections to the spectrum of regular random graphs: An analytical solution. Physical Review E 90, 052109 (2014)DOI: 10.1103/PhysRevE.90.052109 .
  6. F Antenucci, A Crisanti, L Leuzzi, Small-cluster renormalization group in Ising and Blume-Emery-Griffiths models with ferromagnetic, antiferromagnetic, and quenched disordered magnetic interactions,  Physical Review E 90, 012112 (2014) DOI: 10.1103/PhysRevE.90.012112.
  7. F Antenucci, A Crisanti, L Leuzzi, Critical Study of Hierarchical Lattice Renormalization Group in Magnetic Ordered and Quenched Disordered Systems: Ising and Blume–Emery–Griffiths Models,  Journal of Statistical Physics 155, 909-931 (2014) DOI: 10.1 007/s10955-014-0977-z .
  8. FL Metz, L Leuzzi, G Parisi, Renormalization flow of the hierarchical Anderson model at weak disorder, Physical Review B 89, 064201 (2014) DOI: 10.1103/PhysRevB.89.064201
  9. A Crisanti, L Leuzzi, Large Deviations in Physics, Large Deviations in Disordered Spin Systems,  Springer, 135-160 (2014) .
  10. C Lucibello, F Morone, G Parisi, F Ricci-Tersenghi, T Rizzo,  Anomalous finite size corrections in random field models, JSTAT P10025 (2014),  DOI: 10.1088/1742-5468/2014/10/P10025
  11. E Brezin, G Parisi, F Ricci-Tersenghi,The Crossover Region Between Long-Range and Short-Range Interactions for the Critical Exponents,  J. Stat. Phys. 157, 855 (2014), DOI: 10.1007/s10955-014-1081-0
  12. A Lage-Castellanos, R Mulet, F Ricci-Tersenghi, Message passing and Monte Carlo algorithms: Connecting fixed points with metastable states, EPL 107, 57011 (2014) DOI: 10.1209/0295-5075/107/57011
  13. C Lucibello, F Morone, G Parisi, F Ricci-Tersenghi, T Rizzo, Finite-size corrections to disordered Ising models on random regular graphs, Phys. Rev. E 90,  012146 (2014),  DOI: 10.1103/PhysRevE.90.012146
  14. M Baity-Jesi et al., JSTAT P05014 (20014), DOI: 10.1088/1742-5468/2014/05/P05014
  15. MC Angelini, G Parisi, F Ricci-Tersenghi, Phys. Rev. E 89, 062120 (2014), DOI: 10.1103/PhysRevE.89.062120
  16. F Morone, G Parisi, F Ricci-Tersenghi, Large deviations of correlation functions in random magnets, Phys. Rev. B 89, 214202 (2014), DOI: 10.1103/PhysRevB.89.214202
  17. G Parisi, F Ricci-Tersenghi, T  Rizzo, Diluted mean-field spin-glass models at criticality, JSTAT P04013 (2014),  DOI: 10.1088/1742-5468/2014/04/P04013
  18. M Baity.Jesi et al., Dynamical transition in the D=3 Edwards-Anderson spin glass in an external magnetic field, Phys. Rev. E 89, 032140 (2014), DOI: 10.1103/PhysRevE.89.032140
  19. L Nicolao, G Parisi, F Ricci-Tersenghi, Spatial correlation functions and dynamical exponents in very large samples of four-dimensional spin glasses, Phys. Rev. E 89, 032127 (2014) DOI: 10.1103/PhysRevE.89.032127
  20. A Decelle, F Ricci-Tersenghi, Pseudolikelihood Decimation Algorithm Improving the Inference of the Interaction Network in a General Class of Ising Models, Phys. Rev. Lett. 112, 070603 (2014),  DOI: 10.1103/PhysRevLett.112.070603
  21. A Billoire et al., Cumulative overlap distribution function in realistic spin glasses, Phys. Rev. B 90, 094201 (2014), DOI: 10.1103/PhysRevB.90.094201
  22. P Charbonneau et al., Exact theory of dense amorphous hard spheres in high dimension. III. The full replica symmetry breaking solution, JSTAT P10009 (2014)  DOI: 10.1088/1742-5468/2014/10/P10009
  23. De Vita G, SorrisoValvo L, Valentini F, Servidio S, Primavera L, Carbone V and Veltri P Analysis of cancellation exponents in two-dimensional Vlasov turbulence. PHYSICS OF PLASMAS,  21, 072315 (2014), doi: 10.1063/1.4891339
  24. Carbone F, SorrisoValvo L. Experimental analysis of intermittency in electrohydrodynamic instability. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER, 37, 61 (2014), doi: 10.1140/epje/i2014-14061-x
  25. Chen C H K, SorrisoValvo L, Safrankova J, Nemecek Z. INTERMITTENCY OF SOLAR WIND DENSITY FLUCTUATIONS FROM ION TO ELECTRON SCALES. THE ASTROPHYSICAL JOURNAL, 789, L8  (2014), doi: 10.1088/2041-8205/789/1/L8
  26. Bruno R, Telloni D, Primavera L, Pietropaolo E, D’Amicis R, SorrisoValvo L, Carbone V, Malara F, Veltri P, RADIAL EVOLUTION OF THE INTERMITTENCY OF DENSITY FLUCTUATIONS IN THE FAST SOLAR WIND. THE ASTROPHYSICAL JOURNAL,  786, 53 (2014), doi: 10.1088/0004-637X/786/1/53
  27. S Evoli, R Guzzi, B Rizzuti, Molecular simulations of ß-lactoglobulin complexed with fatty acids reveal the structural basis of ligand affinity to internal and possible external binding sites, Proteins 82 2609-2619 (2014), DOI: 10.1002/prot.24625
  28. M Pantusa, R Bartucci, B Rizzuti, Stability of trans-resveratrol associated with transport proteins, J Agric Food Chem 62 4384-4391 (2014), DOI: 10.1021/jf405584a

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