共查询到10条相似文献,搜索用时 171 毫秒
1.
Disease spreading in structured scale-free networks 总被引:2,自引:0,他引:2
Y. Moreno A. Vázquez 《The European Physical Journal B - Condensed Matter and Complex Systems》2003,31(2):265-271
We study the spreading of a disease on top of structured scale-free networks recently introduced. By means of numerical simulations
we analyze the SIS and the SIR models. Our results show that when the connectivity fluctuations of the network are unbounded
whether the epidemic threshold exists strongly depends on the initial density of infected individuals and the type of epidemiological
model considered. Analytical arguments are provided in order to account for the observed behavior. We conclude that the peculiar
topological features of this network and the absence of small-world properties determine the dynamics of epidemic spreading.
Received 16 October 2002 Published online 4 February 2003
RID="a"
ID="a"e-mail: yamir@ictp.trieste.it 相似文献
2.
D. Stauffer A. Aharony L. da Fontoura Costa J. Adler 《The European Physical Journal B - Condensed Matter and Complex Systems》2003,32(3):395-399
Neural networks are supposed to recognise blurred images (or patterns) of N pixels (bits) each. Application of the network to an initial blurred version of one of P pre-assigned patterns should converge to the correct pattern. In the “standard" Hopfield model, the N “neurons” are connected to each other via N2 bonds which contain the information on the stored patterns. Thus computer time and memory in general grow with N2. The Hebb rule assigns synaptic coupling strengths proportional to the overlap of the stored patterns at the two coupled
neurons. Here we simulate the Hopfield model on the Barabási-Albert scale-free network, in which each newly added neuron is
connected to only m other neurons, and at the end the number of neurons with q neighbours decays as 1/q
3. Although the quality of retrieval decreases for small m, we find good associative memory for 1 ≪ m ≪ N. Hence, these networks gain a factor N/m ≫ 1 in the computer memory and time.
Received 12 January 2003 Published online 11 April 2003
RID="a"
ID="a"e-mail: stauffer@thp.uni-koeln.de 相似文献
3.
Recent experiments have demonstrated that the dynamics in liquids close to the glass transition temperature is strongly heterogeneous.
The characteristic size of these heterogeneities has been measured to be a few nanometers at T
g. We extend here a recent model for describing the heterogeneous nature of the dynamics which allows both to derive this length
scale and the right orders of magnitude of the heterogeneities of the dynamics close to the glass transition. Our model allows
then to interpret quantitatively small probes diffusion experiments.
Received 29 March 2002 and Received in final form 11 November 2002
RID="a"
ID="a"e-mail: long@lps.u-psud.fr 相似文献
4.
I. Lubashevsky P. Wagner R. Mahnke 《The European Physical Journal B - Condensed Matter and Complex Systems》2003,32(2):243-247
This paper introduces a car following model where the driving scheme takes into account the deficiencies of human decision
making in a general way. Additionally, it improves certain shortcomings of most of the models currently in use: it is stochastic
but has a continuous acceleration. This is achieved at the cost of formulating the model in terms of the time derivative of
the acceleration, making it non-Newtonian. However, the recipe for construction of bounded rational driver models proposed
in this paper seems to be very general and can be applied to most, if not all of the traditional car-following models.
Received 18 November 2002 / Received in final form 6 February 2003 Published online 1st April 2003
RID="a"
ID="a"e-mail: ialub@fpl.gpi.ru
RID="b"
ID="b"e-mail: peter.wagner@dlr.de
RID="c"
ID="c"e-mail: reinhard.mahnke@physik.uni-rostock.de 相似文献
5.
P. Lejček S. Hofmann 《The European Physical Journal B - Condensed Matter and Complex Systems》2003,31(3):439-441
The paper of L. Rubinovich and M. Polak [Eur. Phys. J. B 22, 267 (2001)] contains some controversial items. The notation “excess” in connection with various thermodynamic quantities
describing solute segregation on the basis of the Langmuir-McLean isotherm is used in a meaning contradictory to general thermodynamics.
The approach used to interpret the linear relationship between segregation entropy and enthalpy results in rather strange
conclusions. These items are discussed, and it is shown how a formulation with standard terms is in accordance with general
thermodynamics.
Received 14 January 2002 / Received in final form 27 September 2002 Published online 14 February 2003
RID="a"
ID="a"e-mail: lejcekp@fzu.cz 相似文献
6.
M. Kuperman D. Zanette 《The European Physical Journal B - Condensed Matter and Complex Systems》2002,26(3):387-391
We analyze the phenomenon of stochastic resonance in an Ising-like system on a small-world network. The system, which is subject
to the combined action of noise and an external modulation, can be interpreted as a stylized model of opinion formation by
imitation under the effects of a “fashion wave”. Both the amplitude threshold for the detection of the external modulation
and the width of the stochastic-resonance peak show considerable variation as the randomness of the underlying small-world
network is changed.
Received 19 December 2001 相似文献
7.
R. Schorr H. Rieger 《The European Physical Journal B - Condensed Matter and Complex Systems》2003,33(3):347-354
We consider the optimal paths in a d-dimensional lattice, where the bonds have isotropically correlated random weights. These paths can be interpreted as the ground state configuration of a simplified polymer model in a random
potential. We study how the universal scaling exponents, the roughness and the energy fluctuation exponent, depend on the
strength of the disorder correlations. Our numerical results using Dijkstra's algorithm to determine the optimal path in directed
as well as undirected lattices indicate that the correlations become relevant if they decay with distance slower than 1/r in d = 2 and 3. We show that the exponent relation 2ν - ω = 1 holds at least in d = 2 even in case of correlations. Both in two and three dimensions, overhangs turn out to be irrelevant even in the presence
of strong disorder correlations.
Received 20 December 2002 / Received in final form 10 April 2003 Published online 20 June 2003
RID="a"
ID="a"e-mail: schorr@lusi.uni-sb.de 相似文献
8.
We present an extensive experimental study and scaling analysis of friction of gelatin gels on glass. At low driving velocities,
sliding occurs via propagation of periodic self-healing slip pulses whose velocity is limited by collective diffusion of the
gel network. Healing can be attributed to a frictional instability occurring at the slip velocity V = V
c. For V > V
c, sliding is homogeneous and friction is ruled by the shear-thinning rheology of an interfacial layer of thickness of order
the (nanometric) mesh size, containing a solution of polymer chain ends hanging from the network. In spite of its high degree
of confinement, the rheology of this system does not differ qualitatively from known bulk ones. The observed ageing of the
static friction threshold reveals the slow increase of adhesive bonding between chain ends and glass. Such structural ageing
is compatible with the existence of a velocity-weakening regime at velocities smaller than V
c, hence with the existence of the healing instability.
Received: 7 March 2003 / Accepted: 2 May 2003 / Published online: 11 June 2003
RID="b"
ID="b"e-mail: ronsin@gps.jussieu.fr 相似文献
9.
H. Behringer M. Pleimling A. Hüller 《The European Physical Journal B - Condensed Matter and Complex Systems》2003,31(1):81-93
Cluster molecular field approximations represent a substantial progress over the simple Weiss theory where only one spin is
considered in the molecular field resulting from all the other spins. In this work we discuss a systematic way of improving
the molecular field approximation by inserting spin clusters of variable sizes into a homogeneously magnetised background.
The density of states of these spin clusters is then computed exactly. We show that the true non-classical critical exponents
can be extracted from spin clusters treated in such a manner. For this purpose a molecular field finite size scaling theory
is discussed and effective critical exponents are analysed. Reliable values of critical quantities of various Ising and Potts
models are extracted from very small system sizes.
Received 30 September 2002 / Received in final form 25 November 2002 Published online 27 January 2003
RID="a"
ID="a"e-mail: pleim@theorie1.physik.uni-erlangen.de 相似文献
10.
We analyze the deviations from Maxwell-Boltzmann statistics found in recent experiments studying velocity distributions in
two-dimensional granular gases driven into a non-equilibrium stationary state by a strong vertical vibration. We show that
in its simplest version, the “stochastic thermostat” model of heated inelastic hard spheres, contrary to what has been hitherto
stated, is incompatible with the experimental data, although predicting a reminiscent high-velocity stretched-exponential
behavior with an exponent 3/2. The experimental observations lead to refine a recently proposed random restitution coefficient
model. Very good agreement is then found with experimental velocity distributions within this framework, which appears self-consistent
and further provides relevant probes to investigate the universality of the velocity statistics.
Received: 27 May 2002 / Accepted: 6 May 2003 / Published online: 27 May 2003
RID="a"
ID="a"e-mail: Alain.Barrat@th.u-psud.fr 相似文献