共查询到20条相似文献,搜索用时 453 毫秒
1.
K. V. Samokhin 《JETP Letters》1996,64(8):580-585
The friction dynamics of contacting D-dimensional disordered elastic manifolds, driven by external forces, is studied, and the existence of a zero-temperature
depinning transition below some critical dimensionality is demonstrated for different kinds of elastic response. It is shown
that this model falls into the universality class of single interface depinning in a 2D-dimensional random medium.
Pis’ma Zh. éksp. Teor. Fiz. 64, No. 8, 532–537 (25 October 1996)
Published in English in the original Russian Journal. Edited by Steve Torstveit. 相似文献
2.
Heinrich Saller 《International Journal of Theoretical Physics》1997,36(12):2783-2826
Quantum mechanical operators and quantum fields are interpreted as realizations of timespace manifolds. Such causal manifolds
are parametrized by the classes of the positive unitary operations in all complex operations, i.e., by the homogenous spacesD(n)=GL(C
R
n
)/U(n) withn=1 for mechanics andn=2 for relativistic fields. The rankn gives the number of both the discrete and continuous invariants used in the harmonic analysis, i.e., two characteristic masses
in the relativistic case. ‘Canonical’ field theories with the familiar divergencies are inappropriate realizations of the
real 4-dimensional causal manifoldD(2). Faithful timespace realizations do not lead to divergencies. In general they are reducible, but nondecomposable—in addition
to representations with eigenvectors (states, particle), they incorporate principal vectors without a particle (eigenvector)
basis as exemplified by the Coulomb field.
In theorthogonal andunitary groupsO(N
+,N
−), respectively, thepositive orthogonal and unitary ones areO(N) andU(N), respectively. 相似文献
3.
We propose to study the infrared behaviour of polymerised (or tethered) random manifolds of dimension D interacting via an exclusion condition with a fixed impurity in d-dimensional Euclidean space in which the manifold is embedded. In this paper we take D=1, but modify the underlying free Gaussian covariance (thereby changing the canonical scaling dimension of the Gaussian random
field) so as to simulate a polymerised manifold with fractional dimension . The canonical dimension of the coupling constant is , where −β/2 is the canonical scaling dimension of the Gaussian embedding field. β is held strictly positive and sufficiently
small. For ɛ>0, sufficiently small, we prove for this model that the iterations of Wilson's renormalisation group transformations
converge to a non-Gaussian fixed point. Although ɛ is small, our analysis is non-perturbative in ɛ. A similar model was studied
earlier [CM] in the hierarchical approximation.
Received: 7 January 1999 / Accepted: 20 August 1999 相似文献
4.
Carlo Cafaro 《International Journal of Theoretical Physics》2008,47(11):2924-2933
A new information-geometric approach to chaotic dynamics on curved statistical manifolds based on Entropic Dynamics (ED) is
proposed. It is shown that the hyperbolicity of a non-maximally symmetric 6N-dimensional statistical manifold ℳ
s
underlying an ED Gaussian model describing an arbitrary system of 3N degrees of freedom leads to linear information-geometric entropy growth and to exponential divergence of the Jacobi vector
field intensity, quantum and classical features of chaos respectively. 相似文献
5.
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
6.
Ryushi Goto 《Communications in Mathematical Physics》1998,198(2):469-491
We shall use an infinite dimensional hyper-K?hler quotient method to obtain hyper-K?hler 4 manifolds of type A
∞ and D
∞. Hyper-K?hler manifolds of type A
∞ and D
∞ are constructed in terms of Dynkin diagrams of type A
∞ and D
∞ respectively. A hyper-K?hler manifold of type D
∞ is the minimal resolution of the quotient space of a hyper-K?hler manifold of type A
∞ by an involution. Finally we shall show that a hyper-K?hler manifold of type A
∞ can be considered as the universal cover of elliptic fibre space of type I
b
.
Received: 18 July 1997 / Accepted: 14 April 1998 相似文献
7.
A. López-Ortega 《General Relativity and Gravitation》2006,38(12):1747-1770
Using the monodromy method we calculate the asymptotic quasinormal frequencies of an electromagnetic field moving in D-dimensional Schwarzschild and Schwarzschild de Sitter black holes (D ≥ 4). For the D-dimensional Schwarzschild anti-de Sitter black hole we also compute these frequencies with a similar method. Moreover, we calculate the electromagnetic normal modes of the D-dimensional anti-de Sitter spacetime. 相似文献
8.
9.
W. Cassing Ye.S. Golubeva L.A. Kondratyuk 《The European Physical Journal A - Hadrons and Nuclei》2000,7(2):279-285
We study the possibility to measure the elastic ΦN (Φ≡J/ψ,ψ(2S), ψ(3770), χ2c) scattering cross section in the reaction ˉp+d→Φ+n
sp and the elastic D(ˉD)N scattering cross section in the reaction ˉp+d→D
−
D
0
p
sp. Our studies indicate that the elastic scattering cross sections can be determined for Φ momenta about 4–6 GeV/c and D/ˉD momenta 2–5 GeV/c by selecting events with p
t≥ 0.4 GeV/c for Φ's and p
t(p
sp) ≥ 0.5 GeV/c for D/ˉD-meson production.
Received: 8 November 1999 相似文献
10.
Ilka Agricola 《Communications in Mathematical Physics》2003,232(3):535-563
Given a reductive homogeneous space M=G/H endowed with a naturally reductive metric, we study the one-parameter family of connections ∇
t
joining the canonical and the Levi-Civita connection (t=0, 1/2). We show that the Dirac operator D
t
corresponding to t=1/3 is the so-called ``cubic' Dirac operator recently introduced by B. Kostant, and derive the formula for its square for
any t, thus generalizing the classical Parthasarathy formula on symmetric spaces. Applications include the existence of a new G-invariant first order differential operator on spinors and an eigenvalue estimate for the first eigenvalue of D
1/3. This geometric situation can be used for constructing Riemannian manifolds which are Ricci flat and admit a parallel spinor
with respect to some metric connection ∇ whose torsion T≠ 0 is a 3-form, the geometric model for the common sector of string theories. We present some results about solutions to
the string equations and a detailed discussion of a 5-dimensional example.
Received: 19 February 2002 / Accepted: 26 August 2002 Published online: 22 November 2002
RID="*"
ID="*" This work was supported by the SFB 288 ``Differential geometry and quantum physics' of the Deutsche Forschungsgemeinschaft
and the Max-Planck Society. 相似文献
11.
Lajos Molnár 《Communications in Mathematical Physics》2001,217(2):409-421
Wigner's classical theorem on symmetry transformations plays a fundamental role in quantum mechanics. It can be formulated,
for example, in the following way: Every bijective transformation on the set ℒ of all 1-dimensional subspaces of a Hilbert
space H which preserves the angle between the elements of ℒ is induced by either a unitary or an antiunitary operator on H. The aim of this paper is to extend Wigner's result from the 1-dimensional case to the case of n-dimensional subspaces of H with n∈ℕ fixed.
Received: 28 August 2000 / Accepted: 30 October 2000 相似文献
12.
The statistics of energy levels for a disordered conductor are considered in the critical energy window near the mobility
edge. It is shown that, if the critical wave functions are multifractal, the one-dimensional gas of levels on the energy axis
is compressible, in the sense that the variance of the level number in an interval is 〈 (δN)2〉∼χ〈N〉 for 〈N〉≫1. The compressibility, χ=η/2d, is given exactly in terms of the multifractal exponent η =d−D
2 at the mobility edge in a d-dimensional system.
Pis’ma Zh. éksp. Teor. Fiz. 64, No. 5, 355–360 (10 September 1996)
Published in English in the original Russian journal. Edited by Steve Torstveit. 相似文献
13.
14.
The concept of ‘D-Differentiation’, which, in the context of smooth manifolds, generalises Lie and covariant differentiation, is extended to
R
∞ -supermanifolds under the name of ‘Super D-Differentiation’. This is done by defining new (non-linear) mappings, called ‘μ-mappings’ and by relating their non-linearity to the Leibniz rule that a derivation must satisfy when it acts on a tensor
product. The resulting axiomatics, which is basis-independent and coordinate-free, is then expressed in a general basis (not
necessarily holonomic). Super Lie and Super covariant differentiation are, amongst others, special cases of Super D-Differentiation. In particular, the transformation rules for the connection coefficients and the commutation coefficients
of non-holonomic bases are obtained. These special cases are found to be in agreement with the DeWitt Super covariant and
Super Lie derivatives.
相似文献
15.
《Journal of Nonlinear Mathematical Physics》2013,20(4):457-461
Abstract The Seiberg-Witten equations are of great importance in the study of topology of smooth four-dimensional manifolds. In this work, we propose similar equations for 7-dimensional compact manifolds with G 2-structure. 相似文献
16.
No Heading We show that the Dirac-von Neumann formalism for quantum mechanics can be obtained as an approximation of classical statistical
field theory. This approximation is based on the Taylor expansion (up to terms of the second order) of classical physical
variables – maps f : Ω → R, where Ω is the infinite-dimensional Hilbert space. The space of classical statistical states consists of Gaussian measures
ρ on Ω having zero mean value and dispersion σ2(ρ) ≈ h. This viewpoint to the conventional quantum formalism gives the possibility to create generalized quantum formalisms based
on expansions of classical physical variables in the Taylor series up to terms of nth order and considering statistical states ρ having dispersion σ2(ρ) = hn (for n = 2 we obtain the conventional quantum formalism). 相似文献
17.
V. Ya. Shur S. A. Negashev A. L. Subbotin D. V. Pelegov E. A. Borisova E. B. Blankova S. Trolier-McKinstry 《Physics of the Solid State》1999,41(2):274-277
The recrystallization kinetics of amorphous lead zirconate-titanate films prepared by sol-gel technology are investigated
experimentally using elastic scattering of light. Sequences of elastic dependences of the scattered light intensity are recorded
directly during thermal annealing. The evolution of the morphology of the film surface during annealing is described in terms
of the variation of their fractal dimensionalities D
s. The experimental dependences D
s(t) are compared with the results of a computer simulation of the phase transition kinetics in a thin plate (film).
Fiz. Tverd. Tela (St. Petersburg) 41, 306–309 (February 1999) 相似文献
18.
AnN-dimensional Gaussian landscape with multiscale translation-invariant logarithmic correlations has been constructed, and the
statistical mechanics of a single particle in this environment has been investigated. In the limit of a high dimensional N → ∞, the free energy of the system in the thermodynamic limit coincides with the most general version of Derrida’s generalized
random energy model. The low-temperature behavior depends essentially on the spectrum of length scales involved in the construction
of the landscape. The construction is argued to be valid in any finite spatial dimensions N ≥1.
The text was submitted by the authors in English. 相似文献
19.
We obtain relativistic solutions of a class of compact stars in hydrostatic equilibrium in higher dimensions by assuming a
pseudospheroidal geometry for the spacetime. The space-time geometry is assumed to be (D − 1) pseudospheroid immersed in a D-dimensional Euclidean space. The spheroidicity parameter (λ) plays an important role in determining the equation of state of the matter content and the maximum radius of such stars.
It is found that the core density of compact objects is approximately proportional to the square of the space-time dimensions
(D), i.e., core of the star is denser in higher dimensions than that in conventional four dimensions. The central density of
a compact star is also found to depend on the parameter λ. One obtains a physically interesting solution satisfying the acoustic condition when λ lies in the range λ > (D + 1)/(D − 3) for the space-time dimensions ranging from D = 4 to 8 and (D + 1)/(D − 3) < λ < (D
2 − 4D + 3)/(D
2 − 8D − 1) for space-time dimensions ≥9. The non-negativity of the energy density (ρ) constrains the parameter with a lower limit (λ > 1). We note that in the case of a superdense compact object the number of space-time dimensions cannot be taken infinitely
large, which is a different result from the braneworld model. 相似文献
20.
Quantum Gravitational Corrections to the Real Klein-Gordon Field in the Presence of a Minimal Length
S. K. Moayedi M. R. Setare H. Moayeri 《International Journal of Theoretical Physics》2010,49(9):2080-2088
The (D+1)-dimensional (β,β′)-two-parameter Lorentz-covariant deformed algebra introduced by Quesne and Tkachuk (J. Phys., A Math. Gen. 39, 10909, 2006), leads to a nonzero minimal uncertainty in position (minimal length). The Klein-Gordon equation in a (3+1)-dimensional space-time
described by Quesne-Tkachuk Lorentz-covariant deformed algebra is studied in the case where β′=2β up to first order over deformation parameter β. It is shown that the modified Klein-Gordon equation which contains fourth-order derivative of the wave function describes
two massive particles with different masses. We have shown that physically acceptable mass states can only exist for
b < \frac18m2c2\beta<\frac{1}{8m^{2}c^{2}} which leads to an isotropic minimal length in the interval 10−17 m<(ΔX
i
)0<10−15 m. Finally, we have shown that the above estimation of minimal length is in good agreement with the results obtained in previous
investigations. 相似文献