共查询到20条相似文献,搜索用时 15 毫秒
1.
Spatial orders appearing at instabilities of synchronous chaos of spatiotemporal systems 总被引:1,自引:0,他引:1
Shihong Wang Jinghua Xiao Xingang Wang Bambi Hu Gang Hu 《The European Physical Journal B - Condensed Matter and Complex Systems》2002,30(4):571-575
Various spatial orders introduced by the instabilities of synchronous chaotic state of spatiotemporal systems are investigated
by considering coupled map lattice and chaotic partial differential equation. In particular, the motions of on-off intermittent
states at the onset of the instabilities are studied in detail. The chaotic desynchronized patterns can be described by a
simple universal form, including three parts: the synchronous chaos; a spatially ordered pattern, determined by the unstable
mode of the reference synchronous chaos; and on-off intermittency of the scale of this given pattern.
Received 31 July 2002 / Received in final form 20 November 2002 Published online 31 December 2002 相似文献
2.
D.A. Stariolo M.A. Montemurro F.A. Tamarit 《The European Physical Journal B - Condensed Matter and Complex Systems》2003,32(3):361-367
We analyze by means of extensive computer simulations the out of equilibrium dynamics of Edwards-Anderson spin glasses in
d
= 4 and d
= 6 dimensions with ±
J interactions. In particular, we focus our analysis on the scaling properties of the two-time autocorrelation function in
a wide range of temperatures from T
= 0.07
T
c
to T
= 0.75
T
c
in both systems. In both the 4
d and 6
d models at very low temperatures we study the effects of discretization of energy levels. Strong sub-aging behaviors are found.
We argue that this is because in the times accessible to our simulations the systems are only able to probe activated dynamics
through the lowest discrete energy levels and remain trapped around nearly flat regions of the energy landscape. For temperatures
T
≥ 0.5
T
c
in 4
d and 6
d we find logarithmic scalings that are compatible with simple dynamical ultrametricity. Nevertheless the behaviour of the
systems, even in 6
d is very different from the mean field SK model results.
Received 21 October 2002 / Received in final form 13 January 2003 Published online 11 April 2003
RID="a"
ID="a"Associate researcher of the Abdus Salam International Centre for Theoretical Physics; e-mail: stariolo@if.ufrgs.br;
http://www.if.ufrgs.br/stariolo
RID="b"
ID="b"Present address: The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34014 Trieste, Italy e-mail: mmontemu@ictp.trieste.it
RID="c"
ID="c"e-mail: tamarit@famaf.unc.edu.ar 相似文献
3.
D.H. Zanette 《The European Physical Journal B - Condensed Matter and Complex Systems》2000,16(3):537-541
A system of globally coupled maps whose synchronized dynamics differs from the individual (chaotic) evolution is considered.
For nonchaotic synchronized dynamics, the synchronized state becomes stable at a critical coupling intensity lower than that
of the fully chaotic case. Below such critical point, synchronization is also stable in a set of finite intervals. Moreover,
the system is shown to exhibit multistability, so that even when the synchronized state is stable not all the initial conditions
lead to synchronization of the ensemble.
Received 22 October 1999 相似文献
4.
S. Miyashita E. Vincent 《The European Physical Journal B - Condensed Matter and Complex Systems》2001,22(2):203-211
Aging in spin glasses (and in some other systems) reveals astonishing effects of `rejuvenation and memory' upon temperature
changes. In this paper, we propose microscopic mechanisms (at the scale of spin-spin interactions) which can be at the origin
of such phenomena. Firstly, we recall that, in a frustrated system, the effective average interaction between two spins may take different values (possibly with opposite signs) at different temperatures. We give simple examples
of such situations, which we compute exactly. Such mechanisms can explain why new ordering processes (rejuvenation) seem to take place in spin glasses when the temperature is lowered. Secondly, we emphasize the fact that inhomogeneous interactions do naturally lead to a wide distribution of relaxation times for thermally activated flips. `Memory spots' spontaneously
appear, in the sense that the flipping time of some spin clusters becomes extremely long when the temperature is decreased.
Such memory spots are capable of keeping the memory of previous ordering at a higher temperature while new ordering processes occur at a lower temperature. After a qualitative
discussion of these mechanisms, we show in the numerical simulation of a simplified example that this may indeed work. Our
conclusion is that certain chaos-like phenomena may show up spontaneously in any frustrated and inhomogeneous magnetic system, without impeding the occurrence of memory effects.
Received 5 February 2001 and Received in final form 27 April 2001 相似文献
5.
L. Wang H. P. Dai H. Dong Y. Y. Cao Y. X. Sun 《The European Physical Journal B - Condensed Matter and Complex Systems》2008,61(3):335-342
This paper considers the problem of controlling
weighted complex dynamical networks by applying adaptive control
to a fraction of network nodes. We investigate the local and
global synchronization of the controlled dynamical network through
the construction of a master stability function and a Lyapunov
function. Analytical results show that a certain number of nodes
can be controlled by using adaptive pinning to ensure the
synchronization of the entire network. We present numerical
simulations to verify the effectiveness of the proposed scheme. In
comparison with feedback pinning, the proposed pinning control
scheme is robust when tested by noise, different weighting and
coupling structures, and time delays. 相似文献
6.
T. Temesvári C. De Dominicis I.R. Pimentel 《The European Physical Journal B - Condensed Matter and Complex Systems》2002,25(3):361-372
Symmetry considerations and a direct, Hubbard-Stratonovich type, derivation are used to construct a replica field-theory relevant
to the study of the spin glass transition of short range models in a magnetic field. A mean-field treatment reveals that two
different types of transitions exist, whenever the replica number n is kept larger than zero. The Sherrington-Kirkpatrick critical point in zero magnetic field between the paramagnet and replica
magnet (a replica symmetric phase with a nonzero spin glass order parameter) separates from the de Almeida-Thouless line,
along which replica symmetry breaking occurs. We argue that for studying the de Almeida-Thouless transition around the upper
critical dimension d = 6, it is necessary to use the generic cubic model with all the three bare masses and eight cubic couplings. The critical
role n may play is also emphasized. To make perturbative calculations feasible, a new representation of the cubic interaction is
introduced. To illustrate the method, we compute the masses in one-loop order. Some technical details and a list of vertex
rules are presented to help future renormalisation-group calculations.
Received 9 October 2001 相似文献
7.
S. Boettcher 《The European Physical Journal B - Condensed Matter and Complex Systems》2003,31(1):29-39
The average ground state energy and entropy for ±J spin glasses on Bethe lattices of connectivities k + 1 = 3..., 26 at T = 0 are approximated numerically. To obtain sufficient accuracy for large system sizes (up to n = 212), the Extremal Optimization heuristic is employed which provides high-quality results not only for the ground state energies
per spin ek+1 but also for their entropies sk+1. The results indicate sizable differences between lattices of even and odd connectivities. The extrapolated ground state
energies compare very well with recent one-step replica symmetry breaking calculations. These energies can be scaled for all
even connectivities k + 1 to within a fraction of a percent onto a simple functional form, e
k + 1 = E
SK
- (2E
SK + )/, where E
SK = - 0.7633 is the ground state energy for the broken replica symmetry in the Sherrington-Kirkpatrick model. But this form
is in conflict with perturbative calculations at large k + 1, which do not distinguish between even and odd connectivities. We also find non-zero entropies per spin sk+1 at small connectivities. While sk+1 seems to vanish asymptotically with 1/(k + 1) for even connectivities, it is numerically indistinguishable from zero already for odd k + 1 ≥ 9.
Received 9 August 2002 Published online 27 January 2003
RID="a"
ID="a"e-mail: sboettc@emory.edu www.physics.emory.edu/faculty/boettcher 相似文献
8.
We prove the existence of correlations between the equilibrium states at different temperatures of the multi-p-spin spherical spin-glass models with continuous replica symmetry breaking: there is no chaos in temperature in these models.
Furthermore, the overlaps satisfy ultrametric relations. As a consequence the Parisi tree is essentially the same at all temperatures
with lower branches developing when lowering the temperature. We conjecture that the reference free energies of the clusters
are also fixed at all temperatures as in the generalized random-energy model.
Received 18 March 2002 / Received in final form 14 June 2002
Published online 1st October 2002
RID="a"
ID="a"e-mail: tommaso.rizzo@inwind.it 相似文献
9.
N.A. Kostov 《The European Physical Journal B - Condensed Matter and Complex Systems》2002,29(2):255-259
We consider quasi-periodic and periodic (cnoidal) wave solutions of a set of n-component dynamical systems related to Korteweg-de Vries equation. Quasi-periodic wave solutions for these systems are expressed
in terms of Novikov polynomials. Periodic solutions in terms of Hermite polynomials and generalized Hermite polynomials for
dynamical systems related to Korteweg-de Vries equation are found.
Received 15 October 2001 / Received in final form 6 March 2002 Published online 2 October 2002
RID="a"
ID="a"e-mail: nakostov@ie.bas.bg 相似文献
10.
The Bethe lattice spin glass revisited 总被引:2,自引:0,他引:2
M. Mézard G. Parisi 《The European Physical Journal B - Condensed Matter and Complex Systems》2001,20(2):217-233
So far the problem of a spin glass on a Bethe lattice has been solved only at the replica symmetric level, which is wrong
in the spin glass phase. Because of some technical difficulties, attempts at deriving a replica symmetry breaking solution
have been confined to some perturbative regimes, high connectivity lattices or temperature close to the critical temperature.
Using the cavity method, we propose a general non perturbative solution of the Bethe lattice spin glass problem at a level
of approximation which is equivalent to a one step replica symmetry breaking solution. The results compare well with numerical
simulations. The method can be used for many finite connectivity problems appearing in combinatorial optimization.
Received 27 September 2000 相似文献
11.
Shihong Wang Junzhong Yang 《The European Physical Journal B - Condensed Matter and Complex Systems》2007,56(1):81-92
Generalized synchronization in a drive-response Chua circuits is investigated. A cascade of transitions to GS is observed
with increasing the interaction strength. The mechanism on the
transitions to GS is given based on the asymptotic behaviors of response dynamics. 相似文献
12.
B. Drossel M.A. Moore 《The European Physical Journal B - Condensed Matter and Complex Systems》2001,21(4):589-594
We study the low-temperature phase of the three-dimensional ±
J Ising spin glass in Migdal-Kadanoff approximation. At zero temperature, T
= 0, the properties of the spin glass result from the ground-state degeneracy and can be elucidated using scaling arguments based
on entropy. The approach to the asymptotic scaling regime is very slow, and the correct exponents are only visible beyond
system sizes around 64. At T
> 0, a crossover from the zero-temperature behaviour to the behaviour expected from the droplet picture occurs at length scales
proportional to T
-2/ds
where ds is the fractal dimension of a domain wall. Canonical droplet behaviour is not visible at any temperature for systems whose
linear dimension is smaller than 16 lattice spacings, because the data are either affected by the zero-temperature behaviour
or the critical point behaviour.
Received 18 February 2001 相似文献
13.
G. Parisi M. Ratiéville 《The European Physical Journal B - Condensed Matter and Complex Systems》2001,22(2):229-237
We consider a class of random matching problems where the distance between two points has a probability law which, for a small
distance l, goes like lr. In the framework of the cavity method, in the limit of an infinite number of points, we derive equations for pk, the probability for some given point to be matched to its kth nearest neighbor in the optimal configuration. These equations are solved in two limiting cases: r = 0 -- where we recover p
k = 1/2k, as numerically conjectured by Houdayer et al. and recently rigorously proved by Aldous -- and r→ + ∞. For 0 < r < + ∞, we are not able to solve the equations analytically, but we compute the leading behavior of pk for large k.
Received 14 February 2001 相似文献
14.
J. Houdayer F. Krzakala O.C. Martin 《The European Physical Journal B - Condensed Matter and Complex Systems》2000,18(3):467-477
We numerically extract large-scale excitations above the ground state in the 3-dimensional Edwards-Anderson spin glass with
Gaussian couplings. We find that associated energies are O(1), in agreement with the mean field picture. Of further interest are the position-space properties of these excitations.
First, our study of their topological properties show that the majority of the large-scale excitations are sponge-like. Second, when probing their geometrical properties, we find that the excitations coarsen when the system size is increased. We conclude that either finite size effects
are very large even when the spin overlap q is close to zero, or the mean field picture of homogeneous excitations has to be modified.
Received 14 August 2000 相似文献
15.
G. Parisi M. Ratiéville 《The European Physical Journal B - Condensed Matter and Complex Systems》2002,29(3):457-468
We get back to the computation of the leading finite size corrections to some random link matching problems, first adressed
by Mézard and Parisi [J. Phys. France 48, 1451 (1987)]. In the so-called bipartite case, their result is in contradiction with subsequent works. We show that they
made some mistakes, and correcting them, we get the expected result. In the non bipartite case, we agree with their result
but push the analytical treatment further.
Received 28 April 2002 Published online 14 October 2002
RID="a"
ID="a"e-mail: giorgio.parisi@roma1.infn.it
RID="b"
ID="b"e-mail: matthieu.ratieville@roma1.infn.it 相似文献
16.
F. Mila D. Dean 《The European Physical Journal B - Condensed Matter and Complex Systems》2002,26(3):301-306
Motivated by the observation of a spin-glass transition in almost disorder-free Kagome antiferromagnets, and by the specific
form of the effective low-energy model of the S = 1/2, trimerized Kagome antiferromagnet, we investigate the possibility to obtain a spin-glass behavior in two-component,
disorder-free models. We concentrate on a toy-model, a modified Ashkin-Teller model in a magnetic field that couples only
to one species of spins, for which we prove that a dynamic spin-glass behavior occurs. The dynamics of the magnetization is
closely related to that of the underlying Ising model in zero field in which spins and pseudo-spins are intimately coupled.
The spin-glass like history dependence of the magnetization is a consequence of the ageing of the underlying Ising model.
Received 21 September 2001 and Received in final form 16 January 2002 相似文献
17.
We consider the spin-glass phase of the Sherrington-Kirkpatrick model in the presence of a magnetic field. The series expansion
of the Parisi function q(x) is computed at high orders in powers of τ = T
c - T and H. We find that none of the Parisi-Toulouse scaling hypotheses on the q(x) behavior strictly holds, although some of them are violated only at high orders. The series is resummed yielding results
in the whole spin-glass phase which are compared with those from a numerical evaluation of the q(x). At the high order considered, the transition turns out to be third order on the Almeida-Thouless line, a result which is
confirmed rigorously computing the expansion of the solution near the line at finite τ. The transition becomes smoother for
infinitesimally small field while it is third order at strictly zero field.
Received 3 March 2003 Published online 4 June 2003
RID="a"
ID="a"e-mail: andrea.crisanti@phys.uniroma1.it
RID="b"
ID="b"e-mail: tommaso.rizzo@phys.uniroma1.it
RID="c"
ID="c"e-mail: temtam@helios.elte.hu 相似文献
18.
V.I. Nekorkin M.L. Voronin M.G. Velarde 《The European Physical Journal B - Condensed Matter and Complex Systems》1999,9(3):533-543
We study the dynamics of an assembly of globally coupled bistable elements. We show that bistability of elements results in some new features of clustering in the assembly when there is global coupling. We provide conditions for the existence of stable amplitude-phase clusters and splay-phase states.
Received 12 June 1998 and Received in final form 30 November 1998 相似文献
19.
Y. Zhang H.A. Cerdeira G. Hu 《The European Physical Journal B - Condensed Matter and Complex Systems》2001,23(1):97-102
A ring of diffusively coupled R?ssler oscillators, which can develop the conventional rotating wave from high-dimensional
chaos by increasing the coupling ɛ continuously is studied. The chaotic generator for the rotating wave emerges around ɛ =
ɛ, where the topological transition induced by the coupling not only changes the topological structure of all the oscillators,
which share a common strange attractor, but also changes them into being different from each other. Starting from this transition,
infinitely long range temporal correlation and spatial order in the style of antiphase state are established gradually, which
gives rise to the chaotic generator of the rotating wave.
Received 15 March 2001 相似文献
20.
V.I. Nekorkin V.B. Kazantsev M.G. Velarde 《The European Physical Journal B - Condensed Matter and Complex Systems》2000,16(1):147-155
The dynamics of a system composed of two nonlinearly coupled, drastically different nonlinear and eventually oscillatory elements
is studied. The rich variety of attractors of the system is studied with the help of phase space analysis and Poincare maps.
Received 19 March 1999 and Received in final form 1 November 1999 相似文献