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Article ; Online: Governments: Balance research funds across Europe.

Parisi, Giorgio

2016 Volume 530, Issue 7588, Page(s) 33

MeSH term(s)	Europe ; European Union/economics ; Federal Government ; Research/economics ; Research Support as Topic/economics ; Universities/economics
Language	English
Publishing date	2016-02-04
Publishing country	England
Document type	Letter
ZDB-ID	120714-3
ISSN	1476-4687 ; 0028-0836
ISSN (online)	1476-4687
ISSN	0028-0836
DOI	10.1038/530033d
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Zs.A 26: Show issues			Location: Je nach Verfügbarkeit (siehe Angabe bei Bestand) bis Jg. 1994: Bestellungen von Artikeln über das Online-Bestellformular Jg. 1995 - 2021: Lesesall (1.OG) ab Jg. 2022: Lesesaal (EG)
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Article ; Online: Finite-size scaling of the random-field Ising model above the upper critical dimension.

Fytas, Nikolaos G / Martín-Mayor, Víctor / Parisi, Giorgio / Picco, Marco / Sourlas, Nicolas

Physical review. E

2023 Volume 108, Issue 4-1, Page(s) 44146

Abstract: Finite-size scaling above the upper critical dimension is a long-standing puzzle in the field of statistical physics. Even for pure systems various scaling theories have been suggested, partially corroborated by numerical simulations. In the present ... ...

Abstract	Finite-size scaling above the upper critical dimension is a long-standing puzzle in the field of statistical physics. Even for pure systems various scaling theories have been suggested, partially corroborated by numerical simulations. In the present manuscript we address this problem in the even more complicated case of disordered systems. In particular, we investigate the scaling behavior of the random-field Ising model at dimension D=7, i.e., above its upper critical dimension D_{u}=6, by employing extensive ground-state numerical simulations. Our results confirm the hypothesis that at dimensions D>D_{u}, linear length scale L should be replaced in finite-size scaling expressions by the effective scale L_{eff}=L^{D/D_{u}}. Via a fitted version of the quotients method that takes this modification, but also subleading scaling corrections into account, we compute the critical point of the transition for Gaussian random fields and provide estimates for the full set of critical exponents. Thus, our analysis indicates that this modified version of finite-size scaling is successful also in the context of the random-field problem.
Language	English
Publishing date	2023-11-17
Publishing country	United States
Document type	Journal Article
ZDB-ID	2844562-4
ISSN	2470-0053 ; 2470-0045
ISSN (online)	2470-0053
ISSN	2470-0045
DOI	10.1103/PhysRevE.108.044146
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Article ; Online: Long-Range Anomalous Decay of the Correlation in Jammed Packings.

Rissone, Paolo / Corwin, Eric I / Parisi, Giorgio

Physical review letters

2021 Volume 127, Issue 3, Page(s) 38001

Abstract: We numerically study the structure of the interactions occurring in three-dimensional systems of hard spheres at jamming, focusing on the large-scale behavior. Given the fundamental role in the configuration of jammed packings, we analyze the propagation ...

Abstract	We numerically study the structure of the interactions occurring in three-dimensional systems of hard spheres at jamming, focusing on the large-scale behavior. Given the fundamental role in the configuration of jammed packings, we analyze the propagation through the system of the weak forces and of the variation of the coordination number with respect to the isostaticity condition, ΔZ. We show that these correlations can be successfully probed by introducing a correlation function weighted on the density-density fluctuations. The results of this analysis can be further improved by introducing a representation of the system based on the contact points between particles. In particular, we find evidence that the weak forces and the ΔZ fluctuations support the hypothesis of randomly jammed packings of spherical particles being hyperuniform by exhibiting an anomalous long-range decay. Moreover, we find that the large-scale structure of the density-density correlation exhibits a complex behavior due to the superimposition of two exponentially damped oscillating signals propagating with linearly depending frequencies.
Language	English
Publishing date	2021-07-30
Publishing country	United States
Document type	Journal Article
ZDB-ID	208853-8
ISSN	1079-7114 ; 0031-9007
ISSN (online)	1079-7114
ISSN	0031-9007
DOI	10.1103/PhysRevLett.127.038001
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Article ; Online: Support for the value 5/2 for the spin glass lower critical dimension at zero magnetic field.

Maiorano, Andrea / Parisi, Giorgio

Proceedings of the National Academy of Sciences of the United States of America

2018 Volume 115, Issue 20, Page(s) 5129–5134

Abstract: We study numerically various properties of the free energy barriers in the Edwards-Anderson model of spin glasses in the low-temperature region in both three and four spatial dimensions. In particular, we investigated the dependence of height of free ... ...

Abstract	We study numerically various properties of the free energy barriers in the Edwards-Anderson model of spin glasses in the low-temperature region in both three and four spatial dimensions. In particular, we investigated the dependence of height of free energy barriers on system size and on the distance between the initial and final states (i.e., the overlap distance). A related quantity is the distribution of large local fluctuations of the overlap in large 3D samples at equilibrium. Our results for both quantities (barriers and large deviations) are in agreement with the prediction obtained in the framework of mean-field theory. In addition, our result supports [Formula: see text] as the lower critical dimension of the model.
Language	English
Publishing date	2018-05-01
Publishing country	United States
Document type	Journal Article ; Research Support, Non-U.S. Gov't
ZDB-ID	209104-5
ISSN	1091-6490 ; 0027-8424
ISSN (online)	1091-6490
ISSN	0027-8424
DOI	10.1073/pnas.1720832115
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Location:
Je nach Verfügbarkeit (siehe Angabe bei Bestand)
bis Jg. 1994: Bestellungen von Artikeln über das Online-Bestellformular
Jg. 1995 - 2021: Lesesall (1.OG)
ab Jg. 2022: Lesesaal (EG)

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Article ; Online: Exploratory study of the glassy landscape near jamming.

Artiaco, Claudia / Baldan, Paolo / Parisi, Giorgio

Physical review. E

2020 Volume 101, Issue 5-1, Page(s) 52605

Abstract: We present a study of the landscape structure of hard and soft spheres as a function of the packing fraction and of the energy. We find that, on approaching the jamming transition, the number of different configurations available to the system increases ... ...

Abstract	We present a study of the landscape structure of hard and soft spheres as a function of the packing fraction and of the energy. We find that, on approaching the jamming transition, the number of different configurations available to the system increases steeply and a hierarchical organization of the landscape emerges. We use the knowledge of the structure of the landscape to predict the values of thermodynamic observables on the edge of the transition.
Language	English
Publishing date	2020-06-24
Publishing country	United States
Document type	Journal Article
ZDB-ID	2844562-4
ISSN	2470-0053 ; 2470-0045
ISSN (online)	2470-0053
ISSN	2470-0045
DOI	10.1103/PhysRevE.101.052605
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Article ; Online: Unexpected Upper Critical Dimension for Spin Glass Models in a Field Predicted by the Loop Expansion around the Bethe Solution at Zero Temperature.

Angelini, Maria Chiara / Lucibello, Carlo / Parisi, Giorgio / Perrupato, Gianmarco / Ricci-Tersenghi, Federico / Rizzo, Tommaso

Physical review letters

2022 Volume 128, Issue 7, Page(s) 75702

Abstract: The spin-glass transition in a field in finite dimension is analyzed directly at zero temperature using a perturbative loop expansion around the Bethe lattice solution. The loop expansion is generated by the M-layer construction whose first diagrams are ... ...

Abstract	The spin-glass transition in a field in finite dimension is analyzed directly at zero temperature using a perturbative loop expansion around the Bethe lattice solution. The loop expansion is generated by the M-layer construction whose first diagrams are evaluated numerically and analytically. The generalized Ginzburg criterion reveals that the upper critical dimension below which mean-field theory fails is D_{U}≥8, at variance with the classical result D_{U}=6 yielded by finite-temperature replica field theory. Our expansion around the Bethe lattice has two crucial differences with respect to the classical one. The finite connectivity z of the lattice is directly included from the beginning in the Bethe lattice, while in the classical computation the finite connectivity is obtained through an expansion in 1/z. Moreover, if one is interested in the zero temperature (T=0) transition, one can directly expand around the T=0 Bethe transition. The expansion directly at T=0 is not possible in the classical framework because the fully connected spin glass does not have a transition at T=0, being in the broken phase for any value of the external field.
Language	English
Publishing date	2022-03-04
Publishing country	United States
Document type	Journal Article
ZDB-ID	208853-8
ISSN	1079-7114 ; 0031-9007
ISSN (online)	1079-7114
ISSN	0031-9007
DOI	10.1103/PhysRevLett.128.075702
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Book ; Online: Hard-Sphere Jamming through the Lens of Linear Optimization

Artiaco, Claudia / Rojas, Rafael Díaz Hernández / Parisi, Giorgio / Ricci-Tersenghi, Federico

2022

Abstract: The jamming transition is ubiquitous. It is present in granular matter, colloids, glasses, and many other systems. Yet, it defines a critical point whose properties still need to be fully understood. A major breakthrough came about when the replica ... ...

Abstract	The jamming transition is ubiquitous. It is present in granular matter, colloids, glasses, and many other systems. Yet, it defines a critical point whose properties still need to be fully understood. A major breakthrough came about when the replica formalism was extended to build a mean-field theory that provides an exact description of the jamming transition of spherical particles in the infinite-dimensional limit. While such theory explains the jamming critical behavior of both soft and hard spheres, investigating the transition in finite-dimensional systems poses very difficult and different problems, in particular from the numerical point of view. Soft particles are modeled by continuous potentials; thus, their jamming point can be reached through efficient energy minimization algorithms. In contrast, the latter methods are inapplicable to hard-sphere (HS) systems since the interaction energy among the particles is always zero by construction. To overcome these difficulties, here we recast the jamming of hard spheres as a constrained optimization problem and introduce the CALiPPSO algorithm, capable of readily producing jammed HS packings without including any effective potential. This algorithm brings a HS configuration of arbitrary dimensions to its jamming point by solving a chain of linear optimization problems. We show that there is a strict correspondence between the force balance conditions of jammed packings and the properties of the optimal solutions of CALiPPSO, whence we prove analytically that our packings are always isostatic and in mechanical equilibrium. Furthermore, using extensive numerical simulations, we show that our algorithm is able to probe the complex structure of the free-energy landscape, finding qualitative agreement with mean-field predictions. We also characterize the algorithmic complexity of CALiPPSO and provide an open-source implementation of it. Comment: Changed title to match the version published in PRE. Find our implementation of the CALiPPSO algorithm here: ...
Keywords	Condensed Matter - Soft Condensed Matter ; Condensed Matter - Disordered Systems and Neural Networks ; Physics - Computational Physics
Subject code	612
Publishing date	2022-03-10
Publishing country	us
Document type	Book ; Online
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Book ; Online: Finite-size scaling of the random-field Ising model above the upper critical dimension

Fytas, Nikolaos G. / Martin-Mayor, Victor / Parisi, Giorgio / Picco, Marco / Sourlas, Nicolas

2023

Abstract: Finite-size scaling above the upper critical dimension is a long-standing puzzle in the field of Statistical Physics. Even for pure systems various scaling theories have been suggested, partially corroborated by numerical simulations. In the present ... ...

Abstract	Finite-size scaling above the upper critical dimension is a long-standing puzzle in the field of Statistical Physics. Even for pure systems various scaling theories have been suggested, partially corroborated by numerical simulations. In the present manuscript we address this problem in the even more complicated case of disordered systems. In particular, we investigate the scaling behavior of the random-field Ising model at dimension $D = 7$, i.e., above its upper critical dimension $D_{\rm u} = 6$, by employing extensive ground-state numerical simulations. Our results confirm the hypothesis that at dimensions $D > D_{\rm u}$, linear length scale $L$ should be replaced in finite-size scaling expressions by the effective scale $L_{\rm eff} = L^{D / D_{\rm u}}$. Via a fitted version of the quotients method that takes this modification, but also subleading scaling corrections into account, we compute the critical point of the transition for Gaussian random fields and provide estimates for the full set of critical exponents. Thus, our analysis indicates that this modified version of finite-size scaling is successful also in the context of the random-field problem. Comment: 10 pages, 5 figures, Appendix included, version published in Phys. Rev. E
Keywords	Condensed Matter - Statistical Mechanics ; Condensed Matter - Disordered Systems and Neural Networks
Subject code	612
Publishing date	2023-07-04
Publishing country	us
Document type	Book ; Online
Database	BASE - Bielefeld Academic Search Engine (life sciences selection)

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Article ; Online: Fluctuations in the random-link matching problem.

Malatesta, Enrico M / Parisi, Giorgio / Sicuro, Gabriele

Physical review. E

2019 Volume 100, Issue 3-1, Page(s) 32102

Abstract: Using the replica approach and the cavity method, we study the fluctuations of the optimal cost in the random-link matching problem. By means of replica arguments, we derive the exact expression of its variance. Moreover, we study the large deviation ... ...

Abstract	Using the replica approach and the cavity method, we study the fluctuations of the optimal cost in the random-link matching problem. By means of replica arguments, we derive the exact expression of its variance. Moreover, we study the large deviation function, deriving its expression in two different ways, namely using both the replica method and the cavity method.
Language	English
Publishing date	2019-10-22
Publishing country	United States
Document type	Journal Article
ZDB-ID	2844562-4
ISSN	2470-0053 ; 2470-0045
ISSN (online)	2470-0053
ISSN	2470-0045
DOI	10.1103/PhysRevE.100.032102
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Article ; Online: Relation between Heterogeneous Frozen Regions in Supercooled Liquids and Non-Debye Spectrum in the Corresponding Glasses.

Paoluzzi, Matteo / Angelani, Luca / Parisi, Giorgio / Ruocco, Giancarlo

Physical review letters

2019 Volume 123, Issue 15, Page(s) 155502

Abstract: Recent numerical studies on glassy systems provide evidence for a population of non-Goldstone modes (NGMs) in the low-frequency spectrum of the vibrational density of states D(ω). Similarly to Goldstone modes (GMs), i.e., phonons in solids, NGMs are soft ...

Abstract	Recent numerical studies on glassy systems provide evidence for a population of non-Goldstone modes (NGMs) in the low-frequency spectrum of the vibrational density of states D(ω). Similarly to Goldstone modes (GMs), i.e., phonons in solids, NGMs are soft low-energy excitations. However, differently from GMs, NGMs are localized excitations. Here we first show that the parental temperature T^{} modifies the GM/NGM ratio in D(ω). In particular, the phonon attenuation is reflected in a parental temperature dependency of the exponent s(T^{}) in the low-frequency power law D(ω)∼ω^{s(T^{})}, with 2≤s(T^{})≤4. Second, by comparing s(T^{}) with s(p), i.e., the same quantity obtained by pinning a p particle fraction, we suggest that s(T^{}) reflects the presence of dynamical heterogeneous regions of size ξ^{3}∝p. Finally, we provide an estimate of ξ as a function of T^{}, finding a mild power law divergence, ξ∼(T^{}-T_{d})^{-α/3}, with T_{d} the dynamical crossover temperature and α falling in the range α∈[0.8,1.0].
Language	English
Publishing date	2019-11-07
Publishing country	United States
Document type	Journal Article
ZDB-ID	208853-8
ISSN	1079-7114 ; 0031-9007
ISSN (online)	1079-7114
ISSN	0031-9007
DOI	10.1103/PhysRevLett.123.155502
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