共查询到20条相似文献,搜索用时 46 毫秒
1.
Y. Nishiyama 《The European Physical Journal B - Condensed Matter and Complex Systems》1998,6(3):335-340
Ground-state phase diagram of the one-dimensional bond-random S=1 Heisenberg antiferromagnet is investigated by means of the loop-cluster-update quantum Monte-Carlo method. The random couplings
are drawn from a rectangular uniform distribution. We found that even in the case of extremely broad bond distribution, the
magnetic correlation decays exponentially, and the correlation length is hardly changed; namely, the Haldane phase continues
to be realized. This result is accordant with that of the exact-diagonalization study, whereas it might contradict the conclusion
of an analytic theory founded in a power-law bond distribution instead. The latter theory predicts that a second-order phase
transition occurs at a certain critical randomness, and the correlation length diverges for sufficiently strong randomness.
Received: 31 March 1998 / Revised and Accepted: 7 July 1998 相似文献
2.
Using small-angle X-ray scattering, the repeat distance vs. temperature is measured for a homologous series of multilamellar vesicles of lecithins with varying acyl chain length in
excess water condition around the lipid main transition. A systematic chain length dependence is found which is in accordance
with a bending rigidity renormalization and critical unbinding of the lamellae close to the transition, as previously suggested
in H?nger et al. [Phys. Rev. Lett. 72, 3911 (1994)].
Received 13 January 1999 and Received in final form 6 September 1999 相似文献
3.
J.L. Meunier A. Morel 《The European Physical Journal B - Condensed Matter and Complex Systems》2000,13(2):341-352
For the first order transition of the Ising model below , Isakov has proven that the free energy possesses an essential singularity in the applied field. Such a singularity in the
control parameter, anticipated by condensation theory, is believed to be a generic feature of first order transitions, but
too weak to be observable. We study these issues for the temperature driven transition of the q states 2D Potts model at . Adapting the droplet model to this case, we relate its parameters to the critical properties at and confront the free energy to the many informations brought by previous works. The essential singularity predicted at the
transition temperature leads to observable effects in numerical data. On a finite lattice, a metastability domain of temperatures
is identified, which shrinks to zero in the thermodynamical limit.
Received 30 March 1999 相似文献
4.
Alfred Hüller 《Zeitschrift für Physik B Condensed Matter》1994,93(3):401-405
In the canonical ensemble any singularity of a thermodynamic function at a temperatureT
c
is smeared over a temperature range of orderT
T
/N. Therefore it is rather difficult to distinguish between a discontinuous and a continuous phase transition on the basis of numerical data obtained for finite systems in the canonical ensemble. It is demonstrated for four model systems that this problem cannot be circumvented by considering higher cumulants of the energy distribution or cumulant ratios. On the other hand, the distinction between first and a second order phase transition is rather direct if based on the microcanonical density of states which is readily obtainable in the dynamical ensemble. 相似文献
5.
Nanoparticle Distribution in Three‐Layer Polymer–Nanoparticle Composite Films: Comparison of Experiment and Theory 下载免费PDF全文
Astrid Drechsler Peter Friedel Sebastian Rauch Petra Uhlmann Manfred Stamm Reinhold Rennekamp 《Particle & Particle Systems Characterization》2015,32(1):123-131
The distribution of hydrophobic nanoparticles deposited on a hydrophilic polymer film is investigated by scanning electron microscopy, transmission electron microscopy, and atomic force microscopy before and after spin‐coating a polymer solution on the particle film and drying it at room temperature. Various polymers and solvents are used. To reach equilibrium, all investigated systems are annealed additionally above the glass transition temperature (Tg) of the polymers. The compatibility of the interacting components is estimated by calculating their surface energy, solubility, and mutual interaction parameters. The experimental results show a redistribution of the particles on both interfaces of the polymer film. This corresponds to the calculated immiscibility of particles and polymers. The distribution of the nanoparticles at the interfaces is related mainly to the vapor pressure of the solvent, that is, kinetic effects during spin‐coating. Only minor contributions result from surface energy, solubility, and interaction parameters. 相似文献
6.
F. Schönfeld G. Bouzerar G.S. Uhrig E. Müller-Hartmann 《The European Physical Journal B - Condensed Matter and Complex Systems》1998,5(3):521-528
Using the density matrix renormalization group method (DMRG) we calculate the magnetization of frustrated S=1/2 Heisenberg chains for various modulation patterns of the nearest neighbour coupling: commensurate, incommensurate with
sinusoidal modulation and incommensurate with solitonic modulation. We focus on the order of the phase transition from the
commensurate dimerized phase (D) to the incommensurate phase (I). It is shown that the order of the phase transition depends
sensitively on the model. For the solitonic model in particular, a k-dependent elastic energy modifies the order of the transition. Furthermore, we calculate gaps in the incommensurate phase
in adiabatic approximation.
Received: 9 March 1998 / Accepted: 17 April 1998 相似文献
7.
D. I. Dimitrov L. I. Klushin A. Skvortsov A. Milchev K. Binder 《The European physical journal. E, Soft matter》2009,29(1):9-25
A flexible polymer chain under good solvent conditions, end-grafted on a flat repulsive substrate surface and compressed by
a piston of circular cross-section with radius L may undergo the so-called “escape transition” when the height of the piston D above the substrate and the chain length N are in a suitable range. In this transition, the chain conformation changes from a quasi-two-dimensional self-avoiding walk
of “blobs” of diameter D to an inhomogeneous “flower” state, consisting of a “stem” (stretched string of blobs extending from the grafting site to
the piston border) and a “crown” outside of the confining piston. The theory of this transition is developed using a Landau
free-energy approach, based on a suitably defined (global) order parameter and taking also effects due to the finite chain
length N into account. The parameters of the theory are determined in terms of known properties of limiting cases (unconfined mushroom,
chain confined between infinite parallel walls). Due to the non-existence of a local order parameter density, the transition
has very unconventional properties (negative compressibility in equilibrium, non-equivalence between statistical ensembles
in the thermodynamic limit, etc.). The reasons for this very unusual behavior are discussed in detail. Using Molecular Dynamics
(MD) simulation for a simple bead-spring model, with N in the range 50
N
300 , a comprehensive study of both static and dynamic properties of the polymer chain was performed. Even though for the
considered rather short chains the escape transition is still strongly rounded, the order parameter distribution does reveal
the emerging transition clearly. Time autocorrelation functions of the order parameter and first passage times and their distribution
indicate clearly the strong slowing down associated with the chain escape. The theory developed here is in good agreement
with all these simulation results. 相似文献
8.
9.
T. Emig T. Nattermann 《The European Physical Journal B - Condensed Matter and Complex Systems》1999,8(4):525-546
The simultaneous effect of both disorder and crystal-lattice pinning on the equilibrium behavior of oriented elastic objects
is studied using scaling arguments and a functional renormalization group technique. Our analysis applies to elastic manifolds,
e.g., interfaces, as well as to periodic elastic media, e.g., charge-density waves or flux-line lattices. The competition between both pinning mechanisms leads to a continuous, disorder
driven roughening transition between a flat state where the mean relative displacement saturates on large scales and a rough
state with diverging relative displacement. The transition can be approached by changing the impurity concentration or, indirectly,
by tuning the temperature since the pinning strengths of the random and crystal potential have in general a different temperature
dependence. For D dimensional elastic manifolds interacting with either random-field or random-bond disorder a transition exists for 2<D<4, and the critical exponents are obtained to lowest order in . At the transition, the manifolds show a superuniversal logarithmic roughness. Dipolar interactions render lattice effects
relevant also in the physical case of D=2. For periodic elastic media, a roughening transition exists only if the ratio p of the periodicities of the medium and the crystal lattice exceeds the critical value . For p<p
c
the medium is always flat. Critical exponents are calculated in a double expansion in and and fulfill the scaling relations of random field models.
Received 28 August 1998 相似文献
10.
E. Orlandini T. Garel 《The European Physical Journal B - Condensed Matter and Complex Systems》1998,6(1):101-110
We study a single self avoiding hydrophilic hydrophobic polymer chain, through Monte-Carlo lattice simulations. The affinity
of monomer i for water is characterized by a (scalar) charge , and the monomer-water interaction is short-ranged. Assuming incompressibility yields an effective short ranged interaction
between monomer pairs (i,j), proportional to . In this article, we take (resp. ()) for hydrophilic (resp. hydrophobic) monomers and consider a chain with (i) an equal number of hydro-philic and -phobic
monomers (ii) a periodic distribution of the along the chain, with periodicity 2p. The simulations are done for various chain lengths N, in d=2 (square lattice) and d=3 (cubic lattice). There is a critical value p
c
(d,N) of the periodicity, which distinguishes between different low temperature structures. For p >p
c
, the ground state corresponds to a macroscopic phase separation between a dense hydrophobic core and hydrophilic loops. For
p <p
c
(but not too small), one gets a microscopic (finite scale) phase separation, and the ground state corresponds to a chain
or network of hydrophobic droplets, coated by hydrophilic monomers. We restrict our study to two extreme cases, and to illustrate the physics of the various phase transitions. A tentative variational approach is also presented.
Received: 10 March 1998 / Received in final form: 25 June 1998 / Accepted: 1st July 1998 相似文献
11.
F. Monroy F. Ortega R.G. Rubio 《The European Physical Journal B - Condensed Matter and Complex Systems》2000,13(4):745-754
The thermoelastic behaviour of polyvinylacetate monolayers spread on an aqueous subphase has been studied using rheological
data previously published (Monroy et al., Phys. Rev. E 58, 7629 (1998)). The results show fluid-like viscoelastic behaviour well above a transition temperature , while at lower temperatures a soft solid-like behaviour emerges. The correlation between thermodynamic and elastic properties
below can be described in terms of scaling laws.
Received 12 January 1999 and Received in final form 11 June 1999 相似文献
12.
S. De Toro Arias X. Waintal J.-L. Pichard 《The European Physical Journal B - Condensed Matter and Complex Systems》1999,10(1):149-158
The interplay between the quantum interferences responsible for one particle localization over a length L1, and the partial dephasing induced by a local interaction of strength U with another particle leading to partial delocalization over a length L
2
> L
1
, is illustrated by a study of the motion of two particles put close to each other at the initial time. Localization is reached
in two steps. First, before the time t1 necessary to propagate over L1, the interaction slows down the ballistic motion. On the contrary, after t1 the interaction favors a very slow delocalization, characterized by a spreading of the center of mass, until L2 is reached. This slow motion is related to the absence of quantum chaos in this one dimensional model, the interaction being
only able to induce weaker chaos with critical spectral statistics. Under appropriate initial conditions, the motion remains
invariant under the duality transformation mapping the behavior at small U onto the behavior at large U.
Received 24 August 1998 相似文献
13.
W. Essafi F. Lafuma C.E. Williams 《The European Physical Journal B - Condensed Matter and Complex Systems》1999,9(2):261-266
We show experimentally that Manning counterion condensation also leads to a renormalization of the charge density at high
concentrations of highly charged, flexible, hydrophilic polyelectrolytes. Investigations by small angle neutron and X-ray
scattering of semi-dilute solutions of poly(acrylamide-co-sodium-2-acrylamido-2-methylpropane sulfonate) at different charge densities above the condensation threshold, show that
the scattering function is invariant with the charge density.
Received 16 June 1998 相似文献
14.
D. Loison 《The European Physical Journal B - Condensed Matter and Complex Systems》2000,15(3):517-521
We study the phase transition in generalized chiral or Stiefel's models using Monte Carlo simulations. These models are characterized
by a breakdown of symmetry O(N)/O(N-P). We show that the phase transition is clearly first order for when P=N and P=N-1, contrary to predictions based on the renormalization group in expansion but in agreement with a recent non perturbative renormalization group approach.
Received 7 October 1999 相似文献
15.
N. Menyhárd 《Solid State Communications》1977,21(5):495-498
1D–3D crossover is investigated in the Gorkov-Dzyaloshinskii model of weakly coupled metallic chains using the multiplicative renormalization group method. A two-step scaling procedure is carried out using different approximations in the 1D and 3D regions with matching at the crossover temperature defined here. In those cases when the 1D charge density wave (CDW) susceptibility diverges as T → 0, CDW-type phase transition is found to occur in the 3D system. The critical temperature of the transition is calculated. 相似文献
16.
V. Cherepanov I.Y. Korenblit A. Aharony O. Entin-Wohlman 《The European Physical Journal B - Condensed Matter and Complex Systems》1999,8(4):511-523
The effects of quenched dipole moments on a two-dimensional Heisenberg antiferromagnet are found exactly, by applying the
renormalization group to the appropriate classical non-linear sigma model. Such dipole moments represent random fields with
power law correlations. At low temperatures, they also represent the long range effects of quenched random strong ferromagnetic
bonds on the antiferromagnetic correlation length, , of a two-dimensional Heisenberg antiferromagnet. It is found that the antiferromagnetic long range order is destroyed for
any non-zero concentration, x, of the dipolar defects, even at zero temperature. Below a line , where T is the temperature, is independent of T, and decreases exponentially with x. At higher temperatures, it decays exponentially with , with an effective stiffness constant , which decreases with increasing x/T. The latter behavior is the same as for annealed dipole moments, and we use our quenched results to interpolate between the
two types of averaging for the problem of ferromagnetic bonds in an antiferromagnet. The results are used to estimate the
three-dimensional Néel temperature of a lamellar system with weakly coupled planes, which decays linearly with x at small concentrations, and drops precipitously at a critical concentration. These predictions are shown to reproduce successfully
several of the prominent features of experiments on slightly doped copper oxides.
Received 22 October 1998 相似文献
17.
H.K. Janssen U.C. Täuber E. Frey 《The European Physical Journal B - Condensed Matter and Complex Systems》1999,9(3):491-511
We investigate the Kardar-Parisi-Zhang (KPZ) equation in d spatial dimensions with Gaussian spatially long-range correlated noise -- characterized by its second moment -- by means of dynamic field theory and the renormalization group. Using a stochastic Cole-Hopf transformation we derive
exact exponents and scaling functions for the roughening transition and the smooth phase above the lower critical dimension . Below the lower critical dimension, there is a line marking the stability boundary between the short-range and long-range noise fixed points. For , the general structure of the renormalization-group equations fixes the values of the dynamic and roughness exponents exactly,
whereas above , one has to rely on some perturbational techniques. We discuss the location of this stability boundary in light of the exact results derived in this paper, and from results known in the literature. In particular, we conjecture
that there might be two qualitatively different strong-coupling phases above and below the lower critical dimension, respectively.
Received 5 August 1998 相似文献
18.
19.
C.M. Marques D. Izzo T. Charitat E. Mendes 《The European Physical Journal B - Condensed Matter and Complex Systems》1998,3(3):353-358
We study the scattering intensity of dilute and semi-dilute solutions of star polymers. The star conformation is described
by a model introduced by Daoud and Cotton. In this model, a single star is regarded as a spherical region of a semi-dilute
polymer solution with a local, position dependent screening length. For high enough concentrations, the outer sections of
the arms overlap and build a semi-dilute solution (a sea of blobs) where the inner parts of the actual stars are embedded.
The scattering function is evaluated following a method introduced by Auvray and de Gennes. In the dilute regime there are
three regions in the scattering function: the Guinier region (low wave vectors, ) from where the radius of the star can be extracted; the intermediate region () that carries the signature of the form factor of a star with f arms: ; and a high wavevector zone () where the local swollen structure of the polymers gives rise to the usual q
-5/3
decay. In the semi-dilute regime the different stars interact strongly, and the scattered intensity acquires two new features:
a liquid peak that develops at a reciprocal position corresponding to the star-star distances; and a new large wavevector
contribution of the form q
-5/3
originating from the sea of blobs.
Received: 3 September 1997 / Revised: 13 January 1988 / Accepted: 31 March 1998 相似文献
20.
The singularity of the specific heat is studied for the dilution (J>J'>0) type and Gaussian type random Ising models using the Pfaffian method numerically. The type of singularity at the paramagnetic-ferromagnetic
phase boundary is studied using the standard regression method using data up to system size. It is shown that the logarithmic type singularity is more reliable than the double-logarithmic type and cusp
type singularities. The critical temperatures are estimated accurately for both the dilution type and Gaussian type random
Ising models. A phase diagram relating strength of the randomness and temperature is also presented.
Received: 26 February 1998 / Revised: 15 May 1998 / Accepted: 25 June 1998 相似文献