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951.
Exactly solvable models through the generalized empty interval method,for multi-species interactions
A. Aghamohammadi M. Alimohammadi M. Khorrami 《The European Physical Journal B - Condensed Matter and Complex Systems》2003,31(3):371-378
Multi-species reaction-diffusion systems, with nearest-neighbor interaction on a one-dimensional lattice are considered. Necessary
and sufficient constraints on the interaction rates are obtained, that guarantee the closedness of the time evolution equation
for E
n(t)'s, the expectation value of the product of certain linear combination of the number operators on n consecutive sites at time t. The constraints are solved for the single-species left-right-symmetric systems. Also, examples of multi-species system for
which the evolution equations of E
n(t)'s are closed, are given.
Received 25 September 2002 / Received in final form 3 December 2002 Published online 14 February 2003
RID="a"
ID="a"e-mail: mamwad@iasbs.ac.ir 相似文献
952.
K. Mallick P. Marcq 《The European Physical Journal B - Condensed Matter and Complex Systems》2003,31(4):553-561
We study analytically and numerically the problem of a nonlinear mechanical oscillator with additive noise in the absence
of damping. We show that the amplitude, the velocity and the energy of the oscillator grow algebraically with time. For Gaussian
white noise, an analytical expression for the probability distribution function of the energy is obtained in the long-time
limit. In the case of colored, Ornstein-Uhlenbeck noise, a self-consistent calculation leads to (different) anomalous diffusion
exponents. Dimensional analysis yields the qualitative behavior of the prefactors (generalized diffusion constants) as a function
of the correlation time.
Received 10 October 2002 Published online 6 March 2003
RID="a"
ID="a"e-mail: mallick@spht.saclay.cea.fr 相似文献
953.
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
954.
M.?Minozzi G.?Caldarelli L.?Pietronero S.?ZapperiEmail author 《The European Physical Journal B - Condensed Matter and Complex Systems》2003,36(2):203-207
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
955.
We study the pure point spectrum of the energy operator H(P
) of a many-particle charged quantum system in a homogeneous magnetic field based on the results in our previous work under fixation of the sum P
of the pseudomomentum components of the system. We prove that the discrete spectrum H(P
) of a short-range system is infinite under some conditions (which, for example, hold for a system of two oppositely charged particles) even in the case of a finitely supported potential. For a long-range system of the type of a (+)-ion of an atom (including the ion), the discrete spectrum is infinite. 相似文献
956.
P. Lefè vre L. Rodrí guez-Piazza 《Proceedings of the American Mathematical Society》2003,131(6):1829-1838
The aim of this paper is to prove that for every , every -Rider set is a -Sidon set for all {\frac p{2-p}}\cdot$"> This gives some positive answers for the union problem of -Sidon sets. We also obtain some results on the behavior of the Fourier coefficient of a measure with spectrum in a -Rider set.
957.
It is shown that every probability measure on the interval [0, 1] gives rise
to a unique infinite random graph g on vertices
{v1,
v2, . . .}
and a sequence of random graphs gn on vertices
{v1, . . . ,
vn}
such that
.
In particular,
for Bernoulli graphs with
stable property Q,
can be strengthened to: probability space (, F, P),
set of infinite graphs
G(Q) ,
F with property Q such
that
.AMS Subject Classification: 05C80, 05C62. 相似文献
958.
Let R be a commutative ring without nil-factor. In this paper, we discuss the problem of quasi-valuation ring presented in the reference “Wang Shianghaw, On quasi-valuation ring, Northeast People‘s Univ. Natur. Sci. J., (1)(1957), 27-40”,when the quotient field of R is an algebraic number field or an algebraic function field, and we obtain a characterization of quasi-valuation rings. 相似文献
959.
In this article we study Hamilton cycles in sparse pseudo‐random graphs. We prove that if the second largest absolute value λ of an eigenvalue of a d‐regular graph G on n vertices satisfies and n is large enough, then G is Hamiltonian. We also show how our main result can be used to prove that for every c >0 and large enough n a Cayley graph X (G,S), formed by choosing a set S of c log5 n random generators in a group G of order n, is almost surely Hamiltonian. © 2002 Wiley Periodicals, Inc. J Graph Theory 42: 17–33, 2003 相似文献
960.
Suppose that
,
, and
are three discrete probability distributions related by the equation (E):
, where
denotes the k-fold convolution of
In this paper, we investigate the relation between the asymptotic behaviors of
and
. It turns out that, for wide classes of sequences
and
, relation (E) implies that
, where
is the mean of
. The main object of this paper is to discuss the rate of convergence in this result. In our main results, we obtain O-estimates and exact asymptotic estimates for the difference
. 相似文献