List of publications

Submitted

• The role of zealots in the spread of linguistic traits
  Vivian Dornelas, Celia Anteneodo, Renan Nunes, Els Heinsalu, Marco Patriarca
  arxiv:2508.01500

• Effect of diversity distribution symmetry on global oscillations of networks of excitable units
  Stefano Scialla, Marco Patriarca, Els Heinsalu, Marius E. Yamakou, Julyan H. E. Cartwright
  arXiv:2507.09804

Published

1. Dynamical equivalence between resonant translocation of a polymer chain and diversity-induced resonance
   Marco Patriarca, Stefano Scialla, Els Heinsalu, Marius E. Yamakou, Julyan H. E. Cartwright
   Chaos 35 (7): 073115 (2025)
   https://doi.org/10.1063/5.0262633    arXiv:2502.00900

2. Learning thresholds lead to stable language coexistence,
   Mikhail V. Tamm, Els Heinsalu, Stefano Scialla, Marco Patriarca,
   Phys. Rev. E 111, 024304 (2025)
   https://doi.org/10.1103/PhysRevE.111.024304   arXiv:2406.14522

3. Language dynamics model with finite-range interactions influencing the diffusion of linguistic traits and human dispersal
   Clément Zankoc; Els Heinsalu; Marco Patriarca
   European Physical Journal B 97, 66 (2024)  
   https://doi.org/10.1140/epjb/s10051-024-00706-3

4. A three-state language competition model including language learning and attrition,
   Stefano Scialla, Jens-Kristjan Liivand, Marco Patriarca, Els Heinsalu,
   Front. Complex Syst. 1-1266733 (2023)
   https://doi.org/10.3389/fcpxs.2023.1266733

5. Are “hubs” in beta-cell clusters an emergent network property or do they exist independently?
   Patriarca, Marco; Scialla, Stefano; Yamakou, Marius; Heinsalu, Els; Cartwright, Julyan H.E.
   Acta Physiol, 239: e14044
   doi:  10.1111/apha.14044

6. The Physics of Languages
   Marco Patriarca, Els Heinsalu, and David Sánchez
   Physics World, 13 June 2023
   https://physicsworld.com/a/the-physics-of-languages/

7. Diversity-induced decoherence
   Marius E. Yamakou, Els Heinsalu, Marco Patriarca, and Stefano Scialla,
   Phys. Rev. E 106, L032401 (2022)
   doi: 10.1103/PhysRevE.106.L032401   https://arxiv.org/abs/2206.08064

8. Influence of invasion on natural selection in dispersal-structured populations,
   David Navidad Maeso, Marco Patriarca, Els Heinsalu,
   Physica A 547, 124427 (2022),
   doi: 0.1016/j.physa.2022.127389   arxiv.org/abs/2204.11899

9. The interplay between diversity and noise in an excitable cell network model,
   Stefano Scialla, Marco Patriarca, Els Heinsalu.
   Europhysics Letters 137, 51001 (2022)
   doi: 10.1209/0295-5075/ac5cdb   arXiv:2203.12506

10. Hubs, diversity, and synchronization in FitzHugh-Nagumo oscillator networks: Resonance effects and biophysical implications,
    Stefano Scialla, Alessandro Loppini, Marco Patriarca, and Els Heinsalu. 
    Phys. Rev. E 103, 052211 (2021) 
    doi:10.1103/PhysRevE.103.052211   arXiv:2105.05652

11. The role of bilinguals in the Bayesian naming game,
    Gionni Marchetti, Marco Patriarca, Els Heinsalu.
    Physica D 428, 133062 (2021)  
    doi:10.1016/j.physd.2021.133062   arXiv:2106.00069

12. A Bayesian Approach to the Naming Game Model,
    Gionni Marchetti, Marco Patriarca,  and Els Heinsalu,
    Frontiers in Physics 8, 10 (2020)  
    doi:10.3389/fphy.2020.00010    arXiv:1911.13012

13. "Languages in Space and Time: Models and Methods from Complex Systems Theory"
    Patriarca, Marco; Heinsalu, Els; Leonard, Jean Leó.
    Cambridge University Press (2020).

14. A Bird’s-Eye View of Naming Game Dynamics: From Trait Competition to Bayesian Inference,
    Gionni Marchetti, Marco Patriarca, and Els Heinsalu,
    Chaos 30, 063119 (2020)  
    doi:10.1063/5.0009569    arXiv:2004.01994

15. Network resilience and assessment of the credit granting policy,
    E Heinsalu, F Pampurini, M Patriarca, AG Quaranta.
    International Review of Business Research Papers 16 (2) 1-15  (2020)

16. The dynamics of natural selection in dispersal-structured populations
    E Heinsalu, D. N. Maeso, M Patriarca
    Physica A: Statistical Mechanics and its Applications 547, 124427 (2020)

17. Patterns of linguistic diffusion in space and time: The case of Mazatec
    J.L. Léonard, M. Patriarca, E. Heinsalu, K. Sharma, A. Chakraborti
    Complexity Applications in Language and Communication Sciences, 139-170 (2019)

18. The role of dispersal in competition success and in the emerging diversity
    E. Heinsalu, D. Navidad Maeso, M. Patriarca
    The European Physical Journal B 91, 1-9 (2018)

19. Patterns of Linguistic Diffusion in Space&Time: The Case of Mazatec
    J.-L. Léonard; Heinsalu, E; M. Patriarca, 
    in: ECONOPHYSICS AND SOCIOPHYSICS: RECENT PROGRESS AND FUTURE DIRECTIONS, p. 227-251,
    Series International Workshop on Econophysics and Sociophysics - Recent Progress and Future Directions, (2017),

20. Applicazioni alla linguistica dei metodi e modelli della teoria dei sistemi complessi
    M. Patriarca, E. Heinsalu, J.L. Léonard
    (2018)

21. Diffusion in the presence of a local attracting factor: Theory and interdisciplinary applications
    H. Veermäe, M. Patriarca
    Physical Review E 95 (6), 062116 (2017)

22. Classical and quantum Brownian motion in an electromagnetic field
    M Patriarca, P Sodano
    Fortschritte der Physik 65 (6-8), 1600058 (2017)

23. Emerging Diversity and Competition Success in Dispersal-Structured Populations
    D. N. Maeso, M. Patriarca, E. Heinsalu
    2017

24. Kinetic Exchange Models as D Dimensional Systems: A Comparison of Different Approaches
    M. Patriarca, E Heinsalu, A Singh, A Chakraborti
    Econophysics and Sociophysics: Recent Progress and Future Directions, 147-158 (2017)

25. The microscopic origin of the Pareto law and other power-law distributions
    M Patriarca, E Heinsalu, A Chakraborti, K Kaski
    Econophysics and Sociophysics: Recent Progress and Future Directions, 159-176 (2017)

26. Thermal Equilibrium in D-dimensions: From Fluids and Polymers to Kinetic Wealth Exchange Models
    M Patriarca, E Heinsalu, A Singh, A Chakraborti

27. Modular algorithmic complexity applied to the Mazatec diasystem
    JL Léonard, E Heinsalu, A Gaillard-Corvaglia, P Darlu
    Proceedings of the International Workshop on Structural Complexity in (2016)

28. Power-laws as statistical mixtures
    M Patriarca, E Heinsalu, L Marzola, A Chakraborti, K Kaski
    Proceedings of ECCS 2014: European Conference on Complex Systems, 271-282 (2016)

29. Constructive effects of diversity in a multi-neuron model of the homeostatic regulation of the sleep–wake cycle
    M Patriarca, E Hernández-García, R Toral
    Chaos, Solitons & Fractals 81, 567-574 (2015)

30. Modeling Regional Variation from EAS: Complexity and Communal Aggregates
    JL Léonard, E Heinsalu, M Patriarca, P Darlu
    Linguistic variation in the basque and education-1 Euskararen bariazioa eta ... 2015

31. Uni-vs. bi-directional kinetic exchange models
    E Heinsalu, M Patriarca
    International Journal of Computational Economics and Econometrics 5 (3), 213-219 3 2015

32. Patriarca and Heinsalu (2014),
    Kinetic Wealth Exchange Models: A short review,
    Proc. ICSSA2014

33. Variation dialectal del Tseltal Maya occidental,
    in: Polian (2014) 

34. Kinetic models of immediate exchange
    E Heinsalu, M Patriarca
    The European Physical Journal B 87, 1-10 28 2014

35. IEICE Proceeding Series
    M Patriarca, S Postnova, HA Braun, E Hernández-García, R Toral (2014)

36. The role of bilinguals in language competition
    E Heinsalu, M Patriarca, JL Léonard
    Advances in Complex Systems 17 (01), 1450003 37 2014

37. Kinetic exchange models: From molecular physics to social science
    M Patriarca, A Chakraborti
    American Journal of Physics 81 (8), 618-623 (2013)

38. Uni- versus bidirectional kinetic exchange models
    E. Heinsalu, M. Patriarca
    Int. J. Comput. Economics & Econometrics, in press

39. M. Patriarca and A. Chakraborti
    Kinetic exchange models: From molecular physics to social science
    Am. J. Phys. 81, 618 (2013)  
    doi:10.1119/1.4807852   arXiv:1305.0768

40. M. Patriarca, E. Hernandez-Garcia, R. Toral, S. Postnova, and H.A. Braun
    Noise and diversity effects in a homeostatic model of wake-sleep cycle
    PLoS Comput. Biol. 8(8) (2012) e1002650  
    doi:10.1371/journal.pcbi.1002650   arXiv:1209.5046

41. M. Patriarca, X. Castelló, J.R. Uriarte, V.M. Eguı́luz, and M. San Miguel
    Modeling two-language competition dynamics
    Advances in Complex Systems 15 (2012) 1250048  
    doi:10.1142/S0219525912500488   arXiv:1206.2960

42. Diversity & Noise-Effects in a Model of Homeostatic Regulation of the Sleep Wake Cycle
    M. Patriarca (2012) 

43. A. Chakraborti, I.M. Toke, M. Patriarca, and F. Abergel
    Econophysics review: II. Agent-based models
    Quantitative Finance 11 (2011) 1013-1041  
    doi:10.1080/14697688.2010.539249   arXiv:0909.1974

44. A. Chakraborti, I.M. Toke, M. Patriarca, and F. Abergel
    Econophysics review: I. Empirical facts
    Quantitative Finance 11 (2011) 991-1012    doi:10.1080/14697688.2010.539248   arXiv:0909.1974

45. M. Patriarca, E. Heinsalu, and R. Kitt, J. Kalda
    Econophysics studies in Estonia
    Journal of Science and Culture (Indian Science News Association) 76(9-10) (2010) 374
    Special issue Sep.-Oct. “Econophysics”
    http://www.scienceandculture-isna.org/sep-oct-2010.htm   arXiv:1006.3708

46. E. Heinsalu, M. Patriarca, and Fabio Marchesoni
    Stochastic Resonance in a surface dipole
    Chem. Phys. 375 (2010) 410   doi:10.1016/j.chemphys.2010.03.013

47. M. Patriarca, E. Heinsalu and A. Chakraborti
    Basic kinetic wealth-exchange models: common features and open problems
    Eur. Phys. J. B 73, (2010) 145  doi:10.1140/epjb/e2009-00418-6  arXiv:physics/06112452

48. A. Chakraborti and M. Patriarca
    A variational principle for the Pareto power law
    Phys. Rev. Lett. 103 (2009) 228701   doi:10.1103/PhysRevLett.103.228701   arXiv:cond-mat/0605325

49. E. Heinsalu, M. Patriarca, I. Goychuk and P. Hänggi
    Fractional Fokker-Planck subdiffusion in alternating force fields
    Phys. Rev. E 79 (2009) 041137   doi:10.1103/PhysRevE.79.041137   arXiv.org:0902.3878

50. E. Heinsalu, M. Patriarca and F. Marchesoni
    Stochastic resonance in bistable confining potentials. On the role of confinement
    Eur. J. Phys. B 69 1 (2009) 19   doi:10.1140/epjb/e2009-00050-6   arXiv:0901.2523

51. M. Patriarca and E. Heinsalu
    Influence of geography on language competition
    Physica A 388 (2009) 174   doi:10.1016/j.physa.2008.09.034   arxiv.org:0807.3100

52. A. Chakraborty and M. Patriarca
    Gamma-distribution and wealth inequality
    Pramana J. Phys. 71(2) (2008) 233
    Special Issue: Statistical Physics Approaches to Multidisciplinary Problems
    doi:10.1007/s12043-008-0156-3  arXiv.org:0802.4410  http://www.ias.ac.in/pramana/v71/p233/fulltext.pdf

53. E. Heinsalu, M. Patriarca, and F. Marchesoni
    Dimer diffusion in a washboard potential
    Phys. Rev. E 77, 021129 (2008)  
    doi:10.1103/PhysRevE.77.021129   arXiv:0708.2858

54. E. Heinsalu, M. Patriarca, I. Goychuk, and P. Hänggi
    Use and abuse of a fractional Fokker-Planck dynamics for time-dependent driving
    Phys. Rev. Lett. 99 (2007) 120602  
    doi:10.1103/PhysRevLett.99.120602   arXiv:cond-mat/0703420

55. M. Patriarca, A. Chakraborti, E. Heinsalu, and G. Germano
    Relaxation in Statistical Many-agent Economy Models
    Eur. Phys. J. B 57 (2007) 219  
    doi:10.1140/epjb/e2007-00122-7   arXiv:physics/0608174

56. E. Heinsalu, M. Patriarca, I. Goychuk, and P. Hänggi
    Fractional diffusion in periodic potentials
    J. Phys.: Condensed Matter 19 (2007) 065114  
    doi:10.1088/0953-8984/19/6/065114   arXiv:cond-mat/0604269

57. M. Patriarca, A. Kuronen, M. Robles, and K. Kaski
    3D interactive Molecular Dynamics program for the study of defect dynamics in crystals
    Comp. Phys. Comm. 176 (2007) 383  
    doi:10.1016/j.cpc.2006.07.019   arXiv:cond-mat/0212318

58. A. Chakraborti, M. Patriarca, and M.S. Santhanam
    Financial time-series analysis: A brief overview
    in: Econophysics and Sociophysics of Markets and Networks, A. Chatterjee and B.K. Chakrabarti, Editors, Springer, 2007
    doi:10.1007/978-88-470-0665-2 4   arXiv:0704.1738

59. E. Heinsalu, M. Patriarca, I. Goychuk, G. Schmid, and P. Hänggi
    Fractional Fokker-Planck dynamics: Numerical algorithm and simulations
    Phys. Rev. E 73 (2006) 020101  
    doi:10.1103/PhysRevE.73.046133   arXiv:cond-mat/0603516

60. M. Patriarca, A. Chakraborti, and G. Germano
    Influence of saving propensity on the power-law tail of wealth distribution
    Physica A 369 (2006) 723  
    doi:10.1016/j.physa.2006.01.091   arXiv:physics/0506028

61. I. Goychuk, E. Heinsalu, M. Patriarca, G. Schmid, and P. Hänggi
    Current and universal scaling in anomalous transport
    Phys. Rev. E 73 (2006) 020101  
    doi:10.1103/PhysRevE.73.020101    arXiv:cond-mat/0509172

62. P. Szelestey, M. Patriarca, and K. Kaski
    Computational study of a screw dislocation interacting with a stacking fault tetrahedron in Ni
    Modelling Simul. Mater. Sci. Eng. 13 (2005) 541  
    doi:10.1088/0965-0393/13/4/005

63. M. Patriarca
    Feynman-Vernon model for a moving thermal environment
    Physica E 29 (2005) 243  
    doi:10.1016/j.physe.2005.05.021

64. M. Patriarca, P. Szelestey, and E. Heinsalu
    Brownian Model of Dissociated Dislocations
    Acta Physica Polonica B 36(5) (2005) 1745  
    http://www.actaphys.uj.edu.pl/ cur/store/vol36/pdf/v36p1745.pdf

65. M. Patriarca, A. Chakraborti, K. Kaski, and G. Germano
    Kinetic theory models for the distribution of wealth: power law from overlap of exponentials
    in: Econophysics of Wealth Distributions, Econophys-Kolkata 1, A. Chatterjee, S.Yarlagadda, B.K. Chakrabarti, Eds., Springer, 2005
    doi:10.1007/88-470-0389-X 10   arXiv:physics/0504153

66. A. Kuronen and M. Patriarca
    Atomistic modeling of strain relaxation in hetero-structures
    in: Handbook of Theoretical and Computational Nanotechnology, M. Rieth and W. Schommers, Editors, American Scientific Publishers, 2005

67. P. Szelestey, M. Patriarca, and K. Kaski
    Dissociated dislocations in Ni: A computational study
    Mater. Sci. Eng. A 390 (2005) 393  
    doi:10.1016/j.msea.2004.08.014

68. M. Patriarca, A. Chakraborti, and K. Kaski
    A statistical model with a standard Γ-distribution
    Phys. Rev. E 70, (2004) 016104  
    doi:10.1103/PhysRevE.70.016104   arXiv:cond-mat/0402200

69. M. Patriarca, A. Chakraborti, and K. Kaski
    Gibb’s versus non-Gibb’s distributions in money dynamics
    Physica A 340 (2004) 334  
    doi:10.1016/j.physa.2004.04.024   arXiv:cond-mat/0312167

70. M. Patriarca and T. Leppänen
    Modelling language competition
    Physica A 338 (2004) 296  
    doi:10.1016/j.physa.2004.02.056

71. P. Szelestey, M. Patriarca, and K. Kaski
    Computational study of core structure and Peierls stress of dissociated dislocations in Ni
    Modelling Simul. Mater. Sci. Eng. 11 (2003) 883  
    doi:10.1088/0965-0393/11/6/006

72. M. Patra, M. Patriarca, and M. Karttunen
    Stability of charge inversion, Thomson problem, and application to electrophoresis
    Phys. Rev. E 67 (2003) 031402  
    doi:10.1103/PhysRevE.67.031402   arXiv:physics/0211006

73. P. Szelestey, M. Patriarca, L.F. Perondi, and K. Kaski
    Modified EAM potentials for modelling stacking fault behavior in Cu, Al, Au, and Ni
    Int. J. Mod. Phys. B 16(19) (2002) 2823  
    doi:10.1142/S0217979202011226

74. M. Patriarca, A. Kuronen, and K. Kaski
    Nucleation and dynamics of dislocations in mismatched heterostructures
    2001 MRS Fall Meeting Proc. vol. 696 Symposium N4.4, MRS-Material Research Society (2002)
    doi:10.1557/PROC-696-N4.4

75. M. Robles , V. Mustonen, K. Kaski, and M. Patriarca
    The influence of many body interactions in the stress-velocity relation for one dislocation in a 2D lattice
    2001 MRS Fall Meeting Proc. vol. 701 Symposium T4.10, MRS-Material Research Society (2002)
    doi:10.1557/PROC-701-T4.10.1

76. * B.L. Altschuler, C. Biagini, and M. Patriarca
    Quantum chaos and transport in mesoscopic systems
    in: Field Theories for low dimensional systems, G. Morandi, P. Sodano, A. Tagliacozzo, and V. Tognetti Editors, Springer-Verlag, Berlin, 2000

77. M. Patriarca
    Quantum mechanical versus stochastic processes in path integration
    in: Path Integrals from peV to TeV: 50 years after Feynman’s Paper
    R. Casalbuoni, R. Giachetti, V. Tognetti, R. Vaia, and P. Verrucchi Eds., World Scientific, Singapore, 1999, p.589

78. C. Presilla, R. Onofrio, and M. Patriarca
    Classical and quantum measurements of position
    J. Phys. A 30(21) (1997) 7385   doi:10.1088/0305-4470/30/21/014  
    arXiv:hep-th/9406024

79. M. Patriarca
    Statistical correlations in the oscillator model of quantum dissipative systems
    Il Nuovo Cimento B 111 (1996) 61  
    doi:10.1007/BF02726201

80. F. Illuminati, M. Patriarca, and P. Sodano
    Quantum dissipation in non-homogeneous environments
    in: Fluctuation Phenomena: Disorder and Nonlinearity
    A.R. Bishop, S. Jimenez and L. Vazquez, Eds., World Scientific, Singapore (1995), p.53.

81. F. Illuminati, M. Patriarca, and P. Sodano
    Classical and quantum dissipation in nonhomogeneous environments
    Physica A 211 (1994) 449  
    doi:10.1016/0378-4371(94)00171-5   arXiv:hep-th/9406024

82. F. Marchesoni and M. Patriarca
    Self-organized criticality in dislocation networks
    Phys. Rev. Lett. 72 (1994) 4101  
    doi:10.1103/PhysRevLett.72.4101

83. M. Patriarca
    Boundary conditions for the Schrödinger equation in the simulation of quantum systems
    Phys. Rev. E 50 (1994) 1616  
    doi:10.1103/PhysRevE.50.1616

84. Marco Patriarca,
    Tesi di Dottorato: Sistemi quantistici in ambienti dissipativi  /  Phd Thesis: Quantum Systems in Dissipative Environments,
    University of Perugia (1993) 

85. F. A. Gianturco, M. Patriarca, and O. Roncero
    Resonant states and photodissociation cross sections in protonated rare gases
    Molecular Physics 67 (1989) 281  
    doi:10.1080/00268978900101081

86. F. A. Gianturco and M. Patriarca
    Accurate Ne-H+ and Ar-H+ interactions from spectroscopic and scattering states
    Il Nuovo Cimento 11 D (1989) 1287  
    doi:10.1007/BF02450546

87. M. Patriarca
    Tesi di Laurea: Ioni Molecolari semplici  /  Master Thesis: Simple Molecular Ions
    La Sapienza University of Rome (1986)