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2004 - Gale Group | Sunday Times HA GDA
Tópico(s): Nonlinear Dynamics and Pattern Formation
1967 - Springer Science+Business Media | The European Physical Journal A
Eberhard K. Riedel, Franz Wegner,
Dynamic scaling laws for anisotropic magnetic systems are derived where the anisotropy parameters are explicitly treated. The approach is applied to calculate the critical spin relaxation rates for Heisenberg ferromagnets and antiferromagnets with one, two, and three easy axes of magnetization at $T>~{T}_{c}$.
Tópico(s): Physics of Superconductivity and Magnetism
1970 - American Physical Society | Physical Review Letters
Eberhard K. Riedel, Franz Wegner,
used by UR (private communication from P. Slattery) .The value of & used is 0.006 (UR used 0
Tópico(s): Geomagnetism and Paleomagnetism Studies
1970 - American Physical Society | Physical Review Letters
Eberhard K. Riedel, Franz Wegner,
Tópico(s): Physics of Superconductivity and Magnetism
1970 - Elsevier BV | Physics Letters A
Tópico(s): Complex Systems and Time Series Analysis
1968 - Springer Nature | Zeitschrift für Physik A Hadrons and Nuclei
Eberhard K. Riedel, Franz Wegner,
Tópico(s): Geomagnetism and Paleomagnetism Studies
1969 - Springer Science+Business Media | The European Physical Journal A
Tópico(s): Magnetic properties of thin films
1969 - Springer Nature | Zeitschrift für Physik A Hadrons and Nuclei
Leo P. Kadanoff, Franz Wegner,
The eight-vertex model solved by Baxter is shown to be equivalent to two Ising models with nearest-neighbor coupling interacting with one another via a four-spin coupling term. The critical properties of the model in the weak-coupling limit are in agreement with the scaling hypothesis. In this limit where $\ensuremath{\alpha}\ensuremath{\rightarrow}0$, the critical indices obey $\frac{\ensuremath{\gamma}}{{\ensuremath{\gamma}}_{0}}=\frac{\ensuremath{\beta}}{{\ensuremath{\beta}}_{0}}=\frac{\ensuremath{\ ...
Tópico(s): Algebraic structures and combinatorial models
1971 - American Physical Society | Physical review. B, Solid state
It is shown that any Ising model with positive coupling constants is related to another Ising model by a duality transformation. We define a class of Ising models Mdn on d-dimensional lattices characterized by a number n = 1, 2, … , d (n = 1 corresponds to the Ising model with two-spin interaction). These models are related by two duality transformations. The models with 1 < n < d exhibit a phase transition without local order parameter. A nonanalyticity in the specific heat and a different qualitative ...
Tópico(s): Opinion Dynamics and Social Influence
1971 - American Institute of Physics | Journal of Mathematical Physics
Tópico(s): Quantum many-body systems
1972 - IOP Publishing | Journal of Physics C Solid State Physics
The effects of higher-order contributions to the linearized renormalization group equations in critical phenomena are discussed. This analysis leads to three quite different results: (i) An exact scaling law for redefined fields is obtained. These redefined fields are normally analytic functions of the physical fields. Corrections to the standard power laws are derived from this scaling law. (ii) The theory explains why logarithmic terms can exist in the free energy. (iii) The case in which the energy ...
Tópico(s): Statistical Mechanics and Entropy
1972 - American Physical Society | Physical review. B, Solid state
Eberhard K. Riedel, Franz Wegner,
The tricritical behavior of a classical three-well-potential model for two-component systems (such as ${\mathrm{He}}^{3}$-${\mathrm{He}}^{4}$ mixtures) is discussed by using renormalization-group techniques. The tricritical exponents and scaling fields are calculated for three dimensions.
Tópico(s): High-Energy Particle Collisions Research
1972 - American Physical Society | Physical Review Letters
Critical indices for isotropic systems of $n$-dimensional spins in ($d=4\ensuremath{-}\ensuremath{\epsilon}$)-dimensional lattices are calculated to order $\ensuremath{\epsilon}$. All critical indices corresponding to perturbations of the spin probability distribution are given. Such perturbations might arise from the effects of external or crystal fields on the spin system.
Tópico(s): Quantum and electron transport phenomena
1972 - American Physical Society | Physical review. B, Solid state
Morgan K. Grover, Leo P. Kadanoff, Franz Wegner,
A recursion relation obtained by Wilson is used for the numerical calculation of critical indices for the $d=3$ classical Heisenberg model. Some of the results obtained are $\ensuremath{\gamma}=1.36$ and $\ensuremath{\varphi}=1.24$.
Tópico(s): Cosmology and Gravitation Theories
1972 - American Physical Society | Physical review. B, Solid state
Tópico(s): Material Dynamics and Properties
1976 - Springer Nature | Zeitschrift füur Physik B Condensed Matter
Using renormalization group arguments the author expands n-point correlation functions (for non-exceptional wavevectors) in expectation values of translational invariant short-range operators Oi. He uses the fact that the Fourier components of our operators become negligible for wavevectors q large in comparison to the momentum cut-off. The correlation functions show the same non-analyticities at the critical point as the expectation values (Oi). The expansion coefficients are regular in the thermodynamic ...
Tópico(s): Quantum, superfluid, helium dynamics
1975 - Institute of Physics | Journal of Physics A Mathematical and General
Critical exponents for nontrivial fixed points of order σ branching off from the trivial fixed point at dimensionality dσ = 2σ(σ−1) and the exponent η are reported in order ϵ and ϵ2, respectively.
Tópico(s): Material Dynamics and Properties
1975 - Elsevier BV | Physics Letters A
Eberhard K. Riedel, Franz Wegner,
A semi-microscopic scaling-field theory is developed for crossover phenomena near critical and tricritical points. The theory is based on a renormalization-group description of a model with two competing fixed points (such as a critical and a tricritical fixed point) in terms of scaling fields. The coupled nonlinear differential equations for scaling fields are truncated such as to preserve the physics essential for crossover phenomena. The approach allows the explicit calculation of thermodynamic ...
Tópico(s): Spectroscopy and Quantum Chemical Studies
1974 - American Physical Society | Physical review. B, Solid state
A generalization of Wilson's renormalization group equation is discussed. A large class of equivalent fixed points exists for each fixed point. The eigen perturbations fall into two classes: (i) scaling operators whose scaling exponents are independent of the fixed point within the class of equivalent fixed points, and (ii) redundant operators whose exponents depend on the choice of the renormalization group equation. The exponents of the redundant operators are spurious since the free energy depends ...
Tópico(s): Solid-state spectroscopy and crystallography
1974 - IOP Publishing | Journal of Physics C Solid State Physics
It is shown that the critical indices corresponding to (0, $l$ perturbations can be calculated by a Feynman-diagram method. At order ${\ensuremath{\epsilon}}^{2}$, the results are consistent with the special cases $l=1,2, \mathrm{and} 4$ obtained previously. There is also general agreement to order $\ensuremath{\epsilon}$ with the exponents calculated from Wilson's recurrence relation.
Tópico(s): Quantum, superfluid, helium dynamics
1974 - American Institute of Physics | Physical review. A, General physics
The elimination of the elastic degrees of freedom of a harmonic isotropic lattice transforms the magnetoelastic coupling into an effective magnetic interaction which consists of a short-range interaction recently discussed by Aharony and a long-range interaction due to the free surface of the systems. Within the renormalization group approach to critical phenomena it is shown that the critical behaviour of the system is described appropriately by the magnetothermomechanics provided that the additional ...
Tópico(s): Material Dynamics and Properties
1974 - IOP Publishing | Journal of Physics C Solid State Physics
The behaviour of a quantum mechanic particle moving in a random potential is considered with special emphasis on the aspect of local gauge-invariance. Symmetry arguments are reviewed which allow the mapping of such a system onto a field theoretic model of interacting matrices. This model yields an expansion of the critical exponents at the mobility edge around the lower critical dimensionality two.
Tópico(s): Theoretical and Computational Physics
1980 - Elsevier BV | Physics Reports
A. Houghton, Lothar Schäfer, Franz Wegner,
We use a variational approach to calculate the two-particle spectral function ${S}_{2}({x}_{1}, {x}_{1}, {x}_{2}, {x}_{2}, {E}_{1}{E}_{2})$ of a Gaussian-disordered electron system in the limit of deeply localized states and small energy difference $\ensuremath{\omega}={E}_{1}\ensuremath{-}{E}_{2}$. The solution of the variational equations yields a two-center potential, each center in lowest order being determined by the square of an instanton function. The two instantons interact via the constraint that ...
Tópico(s): Theoretical and Computational Physics
1980 - American Physical Society | Physical review. B, Condensed matter
Dirk Reinhardt, Michael G. Nagel, E. A. Stemmann, Franz Wegner,
Tópico(s): Asthma and respiratory diseases
1980 - Springer Science+Business Media | European Journal of Pediatrics
Tópico(s): Quantum many-body systems
1980 - Springer Nature | Zeitschrift füur Physik B Condensed Matter
Tópico(s): Cold Atom Physics and Bose-Einstein Condensates
1980 - Springer Nature | Zeitschrift füur Physik B Condensed Matter
Franz Wegner, Anthony Houghton,
An exact renormalization equation is derived by making an infinitesimal change in the cutoff in momentum space. From this equation the expansion for critical exponents around dimensionality 4 and the limit $n=\ensuremath{\infty}$ of the $n$-vector model are calculated. We obtain agreement with the results of Wilson and Fisher, and with the spherical model.
Tópico(s): Quantum chaos and dynamical systems
1973 - American Institute of Physics | Physical review. A, General physics
Tópico(s): Algebraic structures and combinatorial models
1973 - Elsevier BV | Physica
The magnetic phase diagram of mixed crystals of type (Mn, Fe)WO4 is discusses within molecular field approximation. The two species of magnetic ions tend to align in different orderings. Depending on the interaction strengths the two ordered phases are separated either by a phase in which both orderings are superimposed or by a first order transition. Das magnetische Phasendiagram von Mischkristallen des Typs (Mn, Fe)WO4 wird im Rahen der Molekularfeldnäherung diskutiert. Die zwei Arten magnetischer ...
Tópico(s): Metallurgical Processes and Thermodynamics
1973 - Elsevier BV | Solid State Communications