共查询到20条相似文献,搜索用时 10 毫秒
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T.D. Frank A.R. Plastino 《The European Physical Journal B - Condensed Matter and Complex Systems》2002,30(4):543-549
A generalized thermostatistics is developed for an entropy measure introduced by Sharma and Mittal. A maximum-entropy scheme
involving the maximization of the Sharma and Mittal entropy under appropriate constraints expressed as escort mean values
is advanced. Maximum-entropy distributions exhibiting a power law behavior in the asymptotic limit are obtained. Thus, results
previously derived for the Renyi entropy and the Tsallis entropy are generalized. In addition, it is shown that for almost
deterministic systems among all possible composable entropies with kernels that are described by power laws the Sharma-Mittal
entropy is the only entropy measure that gives rise to a thermostatistics based on escort mean values and admitting of a partition
function.
Received 27 June 2002 Published online 31 December 2002 相似文献
3.
K. Schenk B. Drossel S. Clar F. Schwabl 《The European Physical Journal B - Condensed Matter and Complex Systems》2000,15(1):177-185
We study finite-size effects in the self-organized critical forest-fire model by numerically evaluating the tree density and
the fire size distribution. The results show that this model does not display the finite-size scaling seen in conventional
critical systems. Rather, the system is composed of relatively homogeneous patches of different tree densities, leading to
two qualitatively different types of fires: those that span an entire patch and those that do not. As the system size becomes
smaller, the system contains less patches, and finally becomes homogeneous, with large density fluctuations in time.
Received 24 April 1999 and Received in final form 26 October 1999 相似文献
4.
Y. Kafri D. Biron M.R. Evans D. Mukamel 《The European Physical Journal B - Condensed Matter and Complex Systems》2000,16(4):669-676
The coarsening process in a class of driven systems is studied. These systems have previously been shown to exhibit phase
separation and slow coarsening in one dimension. We consider generalizations of this class of models to higher dimensions.
In particular we study a system of three types of particles that diffuse under local conserving dynamics in two dimensions.
Arguments and numerical studies are presented indicating that the coarsening process in any number of dimensions is logarithmically
slow in time. A key feature of this behavior is that the interfaces separating the various growing domains are macroscopically
smooth (well approximated by a Fermi function). This implies that the coarsening mechanism in one dimension is readily extendible
to higher dimensions.
Received 3 April 2000 相似文献
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M. Bengrine A. Benyoussef A. El Kenz M. Loulidi F. Mhirech 《The European Physical Journal B - Condensed Matter and Complex Systems》1999,12(1):129-133
A one-dimensional model of a rice-pile is numerically studied for different driving mechanisms. We found that for a sufficiently
large system, there is a sharp transition between the trivial behaviour of a 1D BTW model and self-organized critical (SOC)
behaviour. Depending on the driving mechanism, the self-organized critical rice-pile model belongs to two different universality
classes.
Received 18 December 1998 相似文献
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P. H. Chavanis 《The European Physical Journal B - Condensed Matter and Complex Systems》2008,62(2):179-208
We study a general class of nonlinear mean field
Fokker-Planck equations in relation with an effective generalized
thermodynamical (E.G.T.) formalism. We show that these equations describe
several physical systems such as: chemotaxis of bacterial
populations, Bose-Einstein condensation in the canonical ensemble,
porous media, generalized Cahn-Hilliard equations, Kuramoto model,
BMF model, Burgers equation, Smoluchowski-Poisson system for
self-gravitating Brownian particles, Debye-Hückel theory of
electrolytes, two-dimensional turbulence... In particular, we show
that nonlinear mean field Fokker-Planck equations can provide
generalized Keller-Segel models for the chemotaxis of
biological populations. As an example, we introduce a new model of
chemotaxis incorporating both effects of anomalous diffusion and
exclusion principle (volume filling). Therefore, the notion of
generalized thermodynamics can have applications for concrete
physical systems. We also consider nonlinear mean field
Fokker-Planck equations in phase space and show the passage from
the generalized Kramers equation to the generalized Smoluchowski
equation in a strong friction limit. Our formalism is simple and
illustrated by several explicit examples corresponding to Boltzmann,
Tsallis, Fermi-Dirac and Bose-Einstein entropies among others. 相似文献
9.
S. Franz G. Parisi 《The European Physical Journal B - Condensed Matter and Complex Systems》2000,18(3):485-491
We explore the consequences of Replica Symmetry Breaking at zero temperature. We introduce a repulsive coupling between a
system and its unperturbed ground state. In the Replica Symmetry Breaking scenario a finite coupling induces a non trivial
overlap probability distribution among the unperturbed ground state and the one in presence of the coupling. We find a closed
formula for this probability for arbitrary ultrametric trees, in terms of the parameters defining the tree. The same probability
is computed in numerical simulations of a simple model with many ground states, but no ultrametricity: polymers in random
media in 1+1 dimension. This gives us an idea of what violation of our formula can be expected in cases when ultrametricity
does not hold.
Received 16 June 2000 相似文献
10.
L. G. Moyano A. P. Majtey C. Tsallis 《The European Physical Journal B - Condensed Matter and Complex Systems》2006,52(4):493-500
We introduce, and numerically study, a system of N symplectically and globally coupled
standard maps localized in a d=1 lattice array. The global coupling is modulated
through a factor r-α, being
r the distance between maps. Thus, interactions are long-range (nonintegrable) when
0≤α≤1, and short-range (integrable) when α>1.
We verify that the largest Lyapunov exponent λM scales as λM ∝
N-κ(α), where κ(α) is positive when interactions are
long-range, yielding weak chaos in the thermodynamic
limit N↦∞ (hence λM→0). In the short-range case,
κ(α) appears to vanish,
and the behaviour corresponds to strong chaos. We show that, for certain
values of the control parameters of the system, long-lasting metastable states
can be present. Their duration tc scales as tc ∝Nβ(α),
where β(α) appears to be numerically in agreement with the following
behavior: β>0 for 0 ≤α< 1, and zero for α≥1.
These results are consistent with features typically found in nonextensive statistical mechanics.
Moreover, they exhibit strong similarity between the present
discrete-time system, and the α-XY Hamiltonian ferromagnetic model. 相似文献
11.
A.K. Chattopadhyay 《The European Physical Journal B - Condensed Matter and Complex Systems》2002,29(4):567-576
We study the dynamics of a growing crystalline facet where the growth mechanism is controlled by the geometry of the local
curvature. A continuum model, in (2+1) dimensions, is developed in analogy with the Kardar-Parisi-Zhang (KPZ) model is considered
for the purpose. Following standard coarse graining procedures, it is shown that in the large time, long distance limit, the
continuum model predicts a curvature independent KPZ phase, thereby suppressing all explicit effects of curvature and local
pinning in the system, in the “perturbative” limit. A direct numerical integration of this growth equation, in 1+1 dimensions,
supports this observation below a critical parametric range, above which generic instabilities, in the form of isolated pillared
structures lead to deviations from standard scaling behaviour. Possibilities of controlling this instability by introducing
statistically “irrelevant" (in the sense of renormalisation groups) higher ordered nonlinearities have also been discussed.
Received 23 April 2002 / Received in final form 24 July 2002 Published online 31 October 2002
RID="a"
ID="a"e-mail: akc@mpipks-dresden.mpg.de 相似文献
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S. Ispolatov P.L. Krapivsky S. Redner 《The European Physical Journal B - Condensed Matter and Complex Systems》1998,2(2):267-276
A model for the evolution of the wealth distribution in an economically interacting population is introduced, in which a specified
amount of assets are exchanged between two individuals when they interact. The resulting wealth distributions are determined
for a variety of exchange rules. For “random” exchange, either individual is equally likely to gain in a trade, while “greedy”
exchange, the richer individual gains. When the amount of asset traded is fixed, random exchange leads to a Gaussian wealth
distribution, while greedy exchange gives a Fermi-like scaled wealth distribution in the long-time limit. Multiplicative processes
are also investigated, where the amount of asset exchanged is a finite fraction of the wealth of one of the traders. For random
multiplicative exchange, a steady state occurs, while in greedy multiplicative exchange a continuously evolving power law
wealth distribution arises.
Received: 13 August 1997 / Revised: 31 December 1997 / Accepted: 26
January 1998 相似文献
14.
S. Lahiri A. M. Jayannavar 《The European Physical Journal B - Condensed Matter and Complex Systems》2009,69(1):87-92
We investigate the total entropy production of a Brownian particle in a driven bistable system. This system exhibits the phenomenon
of stochastic resonance. We show that in the time-periodic steady state, the probability density function for the total entropy
production satisfies Seifert’s integral and detailed fluctuation theorems over finite time trajectories. 相似文献
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B. O'Shaughnessy D. Vavylonis 《The European Physical Journal B - Condensed Matter and Complex Systems》1998,6(3):363-372
We study the reaction kinetics of end-functionalized polymer chains dispersed in an unreactive polymer melt. Starting from
an infinite hierarchy of coupled equations for many-chain correlation functions, a closed equation is derived for the 2nd
order rate constant k after postulating simple physical bounds. Our results generalize previous 2-chain treatments (valid in dilute reactants limit)
by Doi [#!doi:inter2!#], de Gennes [#!gennes:polreactionsiandii!#], and Friedman and O'Shaughnessy [#!ben:interdil_all_aip!#],
to arbitrary initial reactive group density n0 and local chemical reactivity Q. Simple mean field (MF) kinetics apply at short times, .For high Q, a transition occurs to diffusion-controlled (DC) kinetics with (where xt is rms monomer displacement in time t) leading to a density decay . If n0 exceeds the chain overlap threshold, this behavior is followed by a regime where during which k has the same power law dependence in time, , but possibly different numerical coefficient. For unentangled melts this gives while for entangled cases one or more of the successive regimes ,t
-3/8
and t
-3/4
may be realized depending on the magnitudes of Q and n0. Kinetics at times longer than the longest polymer relaxation time are always MF. If a DC regime has developed before then the long time rate constant is where R is the coil radius. We propose measuring the above kinetics in a model experiment where radical end groups are generated
by photolysis.
Received: 2 June 1998 / Revised: 9 July 1998 / Accepted: 10 July 1998 相似文献
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A. Svorenčík F. Slanina 《The European Physical Journal B - Condensed Matter and Complex Systems》2007,57(4):453-462
Inspired by order-book models of financial fluctuations, we
investigate the Interacting gaps model, which is the schematic
one-dimensional system mimicking the order-book dynamics. We find by
simulations the power-law tail in return distribution, power-law decay
of volatility autocorrelation with exponent 0.5 and Hurst exponent
close to 1/2. Surprisingly, when we make a mean-field
approximation, i.e. replace the one-dimensional system by
effectively infinite-dimensional one, we obtain analytically the
return exponent 5/2, in perfect accord with one-dimensional simulations. 相似文献
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J. Dunkel W. Ebeling U. Erdmann 《The European Physical Journal B - Condensed Matter and Complex Systems》2001,24(4):511-524
We investigate the stochastic dynamics of an one-dimensional ring with N self-driven Brownian particles. In this model neighboring particles interact via conservative Morse potentials. The influence of the surrounding heat bath is modeled by Langevin-forces (white noise) and
a constant viscous friction coefficient γ. The Brownian particles are provided with internal energy depots which may lead to active motions of the particles. The depots
are realized by an additional nonlinearly velocity-dependent friction coefficient γ
1(v) in the equations of motions. In the first part of the paper we study the partition functions of time averages and thermodynamical
quantities (e.g. pressure) characterizing the stationary physical system. Numerically calculated non-equilibrium phase diagrams are represented.
The last part is dedicated to transport phenomena by including a homogeneous external force field that breaks the symmetry
of the model. Here we find enhanced mobility of the particles at low temperatures.
Received 21 July 2001 相似文献
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ILki Kim Günter Mahler 《The European Physical Journal B - Condensed Matter and Complex Systems》2006,54(3):405-414
We consider a single harmonic oscillator coupled to a bath
at zero temperature. As is well-known, the oscillator then has a
higher average energy than that given by its ground state. Here we
show analytically that for a damping model with arbitrarily discrete
distribution of bath modes and damping models with continuous
distributions of bath modes with cut-off frequencies, this excess
energy is less than the work needed to couple the system to the
bath, therefore, the quantum second law is not violated. On the
other hand, the second law may be violated for bath modes without
cut-off frequencies, which are, however, physically unrealistic
models.
An erratum to this article is available at . 相似文献