共查询到20条相似文献,搜索用时 31 毫秒
1.
We obtain new properties of general d-dimensional lattice ferromagnetic spin systems with nearest neighbor interactions in the high-temperature region (1). Each model is characterized by a single-site a priori spin distribution, taken to be even. We state our results in terms of the parameter =s
4–3s
22, where s
k denotes the kth moment of the a priori distribution. Associated with the model is a lattice quantum field theory which is known to contain particles. We show that for >0, small, there exists a bound state with mass below the two-particle threshold. The existence of the bound state has implications for the decay of correlations, i.e., the 4-point functions decay at a slower rate than twice that of the 2-point function. These results are obtained using a lattice version of the Bethe–Salpeter equation. The existence results generalize to N-component models with rotationally invariant a priori spin distributions. 相似文献
2.
Let be a von Neumann algebra with a cyclic and separating vector . Let =i[H, ·] be the spatial derivation implemented by a selfadjoint operatorH, such thatH=0. Let be the modular operator associated with the pair (, ). We prove the equivalence of the following three conditions:1)H is essential selfadjoint onD(), andH commutes strongly with .2) The restriction ofH toD() is essential selfadjoint onD(1/2) equipped with the inner product(|)#=(|)+(1/2|1/2), , D(1/2).3) exp (itH) exp (–itH)= for anyt.We show by an example, that the first part of 1),H is essential selfadjoint onD(), does not imply 3). This disproves a conjecture due to Bratteli and Robinson [3].Part of this work was done while O.B. was a member of Zentrum für interdisziplinäre Forschung der Universität Bielefeld 相似文献
3.
A. D. W. B. Crumey 《Communications in Mathematical Physics》1987,111(2):167-179
The classical non-linear Schrödinger equation associated with a symmetric Lie algebra =km is known to possess a class of conserved quantities which from a realization of the algebrak []. The construction is now extended to provide a realization of the Kac-Moody algebrak[, –1] (with central extension). One can then define auxiliary quantities to obtain the full algebra [, –1]. This leads to the formal linearization of the system. 相似文献
4.
H. Albrecht H. Meierling E. F. Wassermann H. Zähres F. T. Hedgcock 《Zeitschrift für Physik B Condensed Matter》1982,49(3):213-220
The impurity contribution to the resistivity in zero field (T) of dilute hexagonal single crystals of ZnMn, CdMn and MgMn has been studied in the mK range on samples cut parallel () and perpendicular () to thec-axis, using a SQUID technique for the measurements. Typical spin glass behavior is found in (T) as well as (T) for all alloys, with Kondo like logarithmic increases at higher temperatures and maxima atT
m at lower temperatures, indicating the influence of impurity interactions. The differences in the corresponding isotropic resistivity poly(T) between the three systems can qualitatively be understood within the framework of a theoretical model by Larsen, describing (T) as a function of universal quantitiesT/T
K and RKKY/T
K
, where RKKY is the RKKY-interaction strength andT
K the Kondo temperature. With respect to the two lattice directions studied, the behavior of (T and (T is anisotropic in the Kondo regime as well as in the range where ordering becomes important. While the anisotropy in the Kondo slope can be understood by an anisotropic unitarity limit, the understanding of the anisotropy in region where impurity interactions are important remains problematic.Dedicated to Prof. Dr. S. Methfessel on the occasion of his 60th birthday 相似文献
5.
For a simple, continuum two-dimensional Coulomb gas (with soft cutoff), Gallavotti and Nicoló [J. Stat. Phys.
38:133–156 (1985)] have proved the existence of finite coefficients in the Mayer activity expansion up to order 2n below a series of temperature thresholdsT
n
=T
[1+(2n–1)–1] (n=1, 2,...). With this in mind they conjectured that an infinite sequence of intermediate, multipole phases appears between the exponentially screened plasma phase aboveT
1 and the full, unscreened Kosterilitz-Thouless phase belowT
T
KT. We demonstrate that Debye-Hückel-Bjerrum theory, as recently investigated ford=2 dimensions, provides a natural and quite probably correct explanation of the pattern of finite Mayer coefficients while indicating the totalabsence of any intermediate phases at nonzero density ; only the KT phase extends to >0. 相似文献
6.
Andreas Knauf 《Journal of statistical physics》1993,73(1-2):423-431
We present numerical and analytical evidence for a first-order phase transition of the ferromagnetic spin chain with partition functionZ()=(–1)/() at the inverse temperature cr=2. 相似文献
7.
A cluster of two atoms described by thes-f model with Coulomb repulsion has been considered. The interaction between localized 4f electrons (S=1/2) is taken in the molecular field approximation. The thermodynamic quantities like magnetization, specific heat and correlation functions n
, n
, S
z
n
, S
z
n
, S
z (n
–n
), n
n
and S
+
a
+
a
as functions of temperature are presented for different band fillingN=0, 0.5, 1, 1.5, 2. The dependence of Curie temperature onN is calculated. The phase diagram forN=1 (T=0K) shows the possibility of existence of two phases: paramagnetic and ferromagnetic.The Curie temperature and the specific heat as functions ofN exhibit similar trends as found in experiments on doped magnetic semiconductors. 相似文献
8.
A recent calculation, in the weak-noise limit, of the rate of escape of a particle over a one-dimensional potential barrier is extended by including an inertial term in the Langevin equation. Specifically, we consider a system described by the Langevin equation
, where is a Gaussian colored noise with mean zero and correlator (t)(t')=(D/)exp(–|t–t'|/). A pathintegral formulation is augmented by a steepest descent calculation valid in the weak-noise (D0) limit. This yields an escape rateexp(–S/D), where the actionS is the minimum, over paths characterizing escape over the barrier, of a generalized Onsager-Machlup functional, the extremal path being an instanton of the theory. The extremal actionS is calculated analytically for smallm and for general potentials, and numerical results forS are displayed for various ranges ofm and for the typical case of the quartic potentialV(x)=–x
2/2+x
4/4. 相似文献
9.
TheA+B diffusion-limited reaction, with equal initial densitiesa(0)=b(0)=n
0, is studied by means of a field-theoretic renormalization group formulation of the problem. For dimensiond>2 an effective theory is derived, from which the density and correlation functions call be calculated. We find the density decays in time as
ford<4, with =n
0
–Cn
0
d/2
+..., whereC is a universal constant andC is nonuniversal. The calculation is extended to the case of unequal diffusion constantsD
A
D
B
, resulting in a new amplitude but the same exponent. Ford2 a controlled calculation is not possible, but a heuristic argument is presented that the results above give at least the leading term in an =2–d expansion. Finally, we address reaction zones formed in the steady state by opposing currents ofA andB particles, and derive scaling properties. 相似文献
10.
K. Kriŝtiaková O. Ŝauŝa J. Kriŝtiak Ŝ. Jánoŝ 《Zeitschrift für Physik B Condensed Matter》1989,75(2):197-199
We have measured the ac susceptibility of a wire with a Nb core (1.27 mm diam.) and a Cu cladding (0.37 mm thickness) atT50 K andB0.1 mG. Due to its proximity to Nb, the Cu becomes fully superconducting. From the data we find a breakdown fieldH
b
=1.2 (mG) and a coherence length =2.2T
–1/2 (m) for the Cu, as well as a field penetration depth -34T
1/2 (m) at the Cu/Nb interface. 相似文献
11.
J. Dimock 《Communications in Mathematical Physics》1977,57(1):51-66
It is proved that for two-particle phenomena theP()2 quantum field theories with speed of lightc converge to non-relativistic quantum mechanics with a function potential in the limitc.Supported by NSF Grant No. PHY 7506746 相似文献
12.
We present and discuss the derivation of a nonlinear nonlocal integrodifferential equation for the macroscopic time evolution of the conserved order parameter (r, t) of a binary alloy undergoing phase segregation. Our model is ad-dimensional lattice gas evolving via Kawasaki exchange with respect to the Gibbs measure for a Hamiltonian which includes both short-range (local) and long-range (nonlocal) interactions. The nonlocal part is given by a pair potential dJ(|x–y|), >0 x and y in d, in the limit 0. The macroscopic evolution is observed on the spatial scale –1 and time scale –2, i.e., the density (r, t) is the empirical average of the occupation numbers over a small macroscopic volume element centered atr=x. A rigorous derivation is presented in the case in which there is no local interaction. In a subsequent paper (Part II) we discuss the phase segregation phenomena in the model. In particular we argue that the phase boundary evolutions, arising as sharp interface limits of the family of equations derived in this paper, are the same as the ones obtained from the corresponding limits for the Cahn-Hilliard equation. 相似文献
13.
D. H. Mayer 《Communications in Mathematical Physics》1979,68(1):1-8
By applying the theory of linear positive operators in a Banach space we derive spectral properties of certain composition operators in the Banach spaceA
() of holomorphic functions over some domain . Examples of such operators are provided by the so called generalized transfer matrices of classical one-dimensional lattice systems. 相似文献
14.
This work concerns the nature of chaotic dynamical processes. Sheldon Newhouse wrote on dynamical processes (depending on a parameter )x
x+1=T(x
n
; ), wherex is in the plane, such as might arise when studying Poincaré return maps for autonomous differential equations in IR3. He proved that if the system is chaotic there will very often be existing parameter values for which there are infinitely many periodic attractors coexisting in a bounded region of the plane, and that such parameter values would be dense in some interval. The fact that infinitely many coexisting sinks can occur brings into question the very nature of the foundations of chaotic dynamical processes. We prove, for an apparently typical situation, that Newhouse's construction yields only a set of parameter values of measure zero.This research was supported in part by grants from the Air Force Office of Scientific Research AFOSR 81-0217, the Consiglio Nazionale delle Ricerche-Comitato per le Matematiche, and the National Science Foundation DMS 84-19110On leave from: Dipartimento di Matematica G. Castel nuovo Universita di Roma La Sapienza P. le Aldo Moro 5, I-00185 Rome, Italy 相似文献
15.
András Sütő 《Communications in Mathematical Physics》1987,111(3):409-415
The spectrum (H) of the tight binding Fibonacci Hamiltonian (H
mn=
m,n+1+
m+1,n
+
m,n
v(n),v(n)=
((n–1)), 1/ is the golden number) is shown to coincide with the dynamical spectrum, the set on which an infinite subsequence of traces of transfer matrices is bounded. The point spectrum is absent for any , and (H) is a Cantor set for 4. Combining this with Casdagli's earlier result, one finds that the spectrum is singular continuous for 16.On leave from the Central Research Institute for Physics, Budapest, Hungary 相似文献
16.
Zusammenfassung Messungen des Imaginärteils der Suszeptibilität als Funktion der Mikrowellenfeldstärkeh wurden bei Hauptresonanz an Proben aus reinem und mit Dysprosium dotierten Yttrium-Eisen-Granat durchgeführt. Die Gestalt der (1/h)-Kurven urde auf Grund einer früher veröffentlichten Theorie behandelt. Der an der Probe 3 gemessene Verlauf von kann befriedigend mit Hilfe des Modells der unabhängigen Spinwellen interpretiert werden. Dasselbe gilt für die Messung an der Probe 2 mit Gleichfeld in [111]-Richtung. Die Steilheit der quasilinearen Kurvenabschnitte ist bei diesen(1/h)-Kurven von der GrößeH/H
k
abhängig. Die Spinwellenhalbwertsbreite wurde auf Grund des benützten Modells mit Hilfe des Maximums der Größeh bestimmt. Der an der Probe aus reinem YIG gemessene Verlauf von stimmt für den Fall des Gleichfeldes in [100]-Richtung mit dem Modell der stark gekoppelten Spinwellen gut überein. Die Messung an dieser Probe mit Gleichfeld in [111]-Richtung weist einen anderen Verlauf der (1/h) Kurve auf, welcher nicht durch den Einfluß der magnetokristallischen Anisotropie der YIG erklärt werden kann. Dies sollte eher der Anisotropie der GrößeH
k
zugeschrieben werden und wir vermuten, daß die letztgenannte Messung ein Verhalten widerspiegelt, das irgendwo zwischen den mit der Theorie diskutierten Extremfällen liegt. Dasselbe kann von der Messung an der Probe 2 mit Gleichfeld in [100]-Richtung gesagt werden.
Saturation effects at main resonance in YIG
The imaginary part of the susceptibility at main resonance was measured as a function of the microwave field intensityh on samples of pure YIG and also on YIG doped with Dy. The experimental results are compared with a theory published earlier. In particular the form of the(1/h) curves is discussed and also the way in which the spin wave relaxation frequencies can be determined.相似文献
17.
K. Binder 《Journal of statistical physics》1981,24(1):69-86
Theq-state Potts model on the square lattice is studied by Monte Carlo simulation forq=3, 4, 5, 6. Very good agreement is obtained with exact results of Kiharaet al. and Baxter for energy and free energy at the critical point. Critical exponent estimates forq=3 are0.4,0.1,1.45, in rough agreement with high-temperature series extrapolation and real space renormalization-group methods. The transition forq=5, 6 is found to be a very weakly first-order transition, i.e., pronounced pseudocritical phenomena occur, specific heat, susceptibility, etc. (nearly) diverge at the first-order transition temperature. Dynamics is associated to the model in the same way as for the kinetic Ising model, and the nonlinear slowing down of the order parameter and of the energy is studied. The dynamic exponent is estimated to be (=zv)1.9. Within our accuracy noq dependence is detected. The relaxation is found to be consistent with dynamic scaling predictions, and dynamic scaling functions associated with the nonlinear relaxation are estimated. 相似文献
18.
H. E. Wilhelm 《Applied physics. B, Lasers and optics》1983,31(3):173-177
Based on the (relativistic) Maxwell equations with displacement current E/t, the initial-boundary-value problem for the compression of an initially homogeneous magnetic fieldB={0,B(x,t),0} between a fixed liner atx=0 and a detonation-driven liner atx=s(t) is solved analytically. By homogenizing the boundary conditions at the moving boundary, the transient electromagnetic fields are shown to be a superposition of quasistatic elliptic (E/t=0) and hyperbolic (E/t0) wave solutions. The wave equation is solved by a Fourier expansion in time-dependent eigenfunctionsf
n
=f
n
[nx/s(t)] for the variable region 0xs(t), where the Fourier amplitudes
n
(t) are determined by coupled differential equations of second order. It is concluded that the conventional elliptic flux compression theories (E/t=0) hold approximately for nonrelativistic liner speeds
, whereas the hyperbolic theory (E/t0) is valid for arbitrary liner speeds
. 相似文献
19.
We present exact explicit expressions for the row spin-spin correlation functions
00
n0 in the isotropicd= 2 Ising model, in terms of elliptic integrals, forn 5. We also give a general structural formula for
00
n0. 相似文献
20.
We give the algebra
q
/*
dual to the matrix Lorentz quantum group
q
of Podles-Woronowicz, and Watamuraet al. As a commutation algebra, it has the classical form
q
/*
U
q
(sl(2, )) U
q
(sl(2, )). However, this splitting is not preserved by the coalgebra structure which we also give. For the derivation, we use a generalization of the approach of Sudbery, viz. tangent vectors at the identity. 相似文献