Giorgio Parisi - Academia.edu (original) (raw)
Papers by Giorgio Parisi
Journal of Physics A: Mathematical and General, 2003
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In this work we study numerically a short range p-spin glass model in three dimensions. The behav... more In this work we study numerically a short range p-spin glass model in three dimensions. The behaviour of the model appears to be remarkably different from mean field predictions. In fact it shares some features typical of models with full replica-symmetry breaking (FRSB). Nevertheless, we believe that the transition that we study is intrinsically different from the FRSB and basically due to non-perturbative contributions. We study both the statics and the dynamics of the system which seem to confirm our conjectures.
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Physics Letters B, 1979
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Computing Research Repository, 2010
We describe different implementations of the 3D Heisenberg spin glass model for Graphics Processi... more We describe different implementations of the 3D Heisenberg spin glass model for Graphics Processing Units (GPU). The results show that the {\em fast} shared memory gives better performance with respect to the {\em slow} global memory only if a multi-hit technique is used.
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Journal de Physique I, 1993
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Lecture Notes in Physics
Many systems (among them glasses, rubber, spin glasses...) show at low temperature a very slow ap... more Many systems (among them glasses, rubber, spin glasses...) show at low temperature a very slow approach to equilibrium. A very interesting phenomenon is the following: if the temperature is decreased fast enough, the system goes into an amorphous state that has practically infinite mean life; moreover under very slow cooling some of these systems go into an ordered crystal phase. The crystal phase does not exist in general, it exists only if the parameters of the interactions among the atoms are intentionally chosen in such way this phase is energetically ...
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Physical Review Letters, 2008
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Physics Letters B, 1993
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Physical Review Letters, 1999
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Physical Review E, 2013
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Physica D: Nonlinear Phenomena, 1998
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Philosophical Magazine, 2012
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Journal of Physics A: Mathematical and General, 2003
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Europhysics Letters (EPL), 1992
Abstract.-We investigate the generalization abilities of various types of rules for both feedforw... more Abstract.-We investigate the generalization abilities of various types of rules for both feedforward and symmetric Hopfield neural network, The networks of the size of 24 neurons are taught to perform the rule on a small set of examples using simulated annealing optimization. Results show a rather small dependence of the type of network, but a significant difference in generalizing different rules is found. This suggests the possibility of defining the complexity of a rule to a certain extent independently of physical ...
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Animal Behaviour, 2008
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Physics Letters B, Mar 24, 1988
Volume 203, number 1,2 PHYSICS LETTERS B 24 March 1988 ON THE p-ADIC FIVE-POINT FUNCTION Enzo MAR... more Volume 203, number 1,2 PHYSICS LETTERS B 24 March 1988 ON THE p-ADIC FIVE-POINT FUNCTION Enzo MARINARI and Giorgio PARISI Dipartimento di Fisica, 11 Universitdi Roma, "Tor Vergata", 1-00173 Rome, Italy and INFN, Sezione di Roma, Rome, Italy Received 23 December 1987 The Koba-Nielsen amplitude five-point dual function is computed integrating over the p-adic field. Contrary to what happens for the four-point function the infinite product of all the p-adic functions and the usual five-point function is not a constant. There has been ...
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Arxiv preprint cond-mat/9904321
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Physical Review Letters, 2001
We probe the energy landscape of the 3D Edwards-Anderson spin glass in a magnetic field to test f... more We probe the energy landscape of the 3D Edwards-Anderson spin glass in a magnetic field to test for a spin glass ordering. We find that the spin glass susceptibility is anomalously large on the lattice sizes we can reach. Our ...
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In this letter we show strong numerical evidence that the four dimensional Diluted Ising Model fo... more In this letter we show strong numerical evidence that the four dimensional Diluted Ising Model for a large dilution is not described by the Mean Field exponents. These results suggest the existence of a new fixed point with non-gaussian exponents.
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We use the replica method to study the ideal glass transition of a liquid of identical Hard Spher... more We use the replica method to study the ideal glass transition of a liquid of identical Hard Spheres. We obtain estimates of the configurational entropy in the liquid phase, of the Kauzmann packing fraction, in the range 0.58--0.62, and of the random close packing density, in the range 0.64--0.67, depending on the approximation we use for the equation of state of the liquid. We also compute the pair correlation function in the glassy states (i.e., dense amorphous packings) and we find that the mean coordination number at random close packing is equal to 6. All these results compare well with numerical simulations and with other existing theories.
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Journal of Physics A: Mathematical and General, 2003
Bookmarks Related papers MentionsView impact
In this work we study numerically a short range p-spin glass model in three dimensions. The behav... more In this work we study numerically a short range p-spin glass model in three dimensions. The behaviour of the model appears to be remarkably different from mean field predictions. In fact it shares some features typical of models with full replica-symmetry breaking (FRSB). Nevertheless, we believe that the transition that we study is intrinsically different from the FRSB and basically due to non-perturbative contributions. We study both the statics and the dynamics of the system which seem to confirm our conjectures.
Bookmarks Related papers MentionsView impact
Physics Letters B, 1979
Bookmarks Related papers MentionsView impact
Computing Research Repository, 2010
We describe different implementations of the 3D Heisenberg spin glass model for Graphics Processi... more We describe different implementations of the 3D Heisenberg spin glass model for Graphics Processing Units (GPU). The results show that the {\em fast} shared memory gives better performance with respect to the {\em slow} global memory only if a multi-hit technique is used.
Bookmarks Related papers MentionsView impact
Journal de Physique I, 1993
Bookmarks Related papers MentionsView impact
Lecture Notes in Physics
Many systems (among them glasses, rubber, spin glasses...) show at low temperature a very slow ap... more Many systems (among them glasses, rubber, spin glasses...) show at low temperature a very slow approach to equilibrium. A very interesting phenomenon is the following: if the temperature is decreased fast enough, the system goes into an amorphous state that has practically infinite mean life; moreover under very slow cooling some of these systems go into an ordered crystal phase. The crystal phase does not exist in general, it exists only if the parameters of the interactions among the atoms are intentionally chosen in such way this phase is energetically ...
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Physical Review Letters, 2008
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Physics Letters B, 1993
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Physical Review Letters, 1999
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Physical Review E, 2013
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Physica D: Nonlinear Phenomena, 1998
Bookmarks Related papers MentionsView impact
Philosophical Magazine, 2012
Bookmarks Related papers MentionsView impact
Journal of Physics A: Mathematical and General, 2003
Bookmarks Related papers MentionsView impact
Europhysics Letters (EPL), 1992
Abstract.-We investigate the generalization abilities of various types of rules for both feedforw... more Abstract.-We investigate the generalization abilities of various types of rules for both feedforward and symmetric Hopfield neural network, The networks of the size of 24 neurons are taught to perform the rule on a small set of examples using simulated annealing optimization. Results show a rather small dependence of the type of network, but a significant difference in generalizing different rules is found. This suggests the possibility of defining the complexity of a rule to a certain extent independently of physical ...
Bookmarks Related papers MentionsView impact
Animal Behaviour, 2008
Bookmarks Related papers MentionsView impact
Physics Letters B, Mar 24, 1988
Volume 203, number 1,2 PHYSICS LETTERS B 24 March 1988 ON THE p-ADIC FIVE-POINT FUNCTION Enzo MAR... more Volume 203, number 1,2 PHYSICS LETTERS B 24 March 1988 ON THE p-ADIC FIVE-POINT FUNCTION Enzo MARINARI and Giorgio PARISI Dipartimento di Fisica, 11 Universitdi Roma, "Tor Vergata", 1-00173 Rome, Italy and INFN, Sezione di Roma, Rome, Italy Received 23 December 1987 The Koba-Nielsen amplitude five-point dual function is computed integrating over the p-adic field. Contrary to what happens for the four-point function the infinite product of all the p-adic functions and the usual five-point function is not a constant. There has been ...
Bookmarks Related papers MentionsView impact
Arxiv preprint cond-mat/9904321
Bookmarks Related papers MentionsView impact
Physical Review Letters, 2001
We probe the energy landscape of the 3D Edwards-Anderson spin glass in a magnetic field to test f... more We probe the energy landscape of the 3D Edwards-Anderson spin glass in a magnetic field to test for a spin glass ordering. We find that the spin glass susceptibility is anomalously large on the lattice sizes we can reach. Our ...
Bookmarks Related papers MentionsView impact
In this letter we show strong numerical evidence that the four dimensional Diluted Ising Model fo... more In this letter we show strong numerical evidence that the four dimensional Diluted Ising Model for a large dilution is not described by the Mean Field exponents. These results suggest the existence of a new fixed point with non-gaussian exponents.
Bookmarks Related papers MentionsView impact
We use the replica method to study the ideal glass transition of a liquid of identical Hard Spher... more We use the replica method to study the ideal glass transition of a liquid of identical Hard Spheres. We obtain estimates of the configurational entropy in the liquid phase, of the Kauzmann packing fraction, in the range 0.58--0.62, and of the random close packing density, in the range 0.64--0.67, depending on the approximation we use for the equation of state of the liquid. We also compute the pair correlation function in the glassy states (i.e., dense amorphous packings) and we find that the mean coordination number at random close packing is equal to 6. All these results compare well with numerical simulations and with other existing theories.
Bookmarks Related papers MentionsView impact