GLORIA

GEOMAR Library Ocean Research Information Access

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 11
    Electronic Resource
    Electronic Resource
    On the equivalence of different order parameters and coexistence of phases for Ising ferromagnet. II (1978)
    Springer
    Communications in mathematical physics 59 (1978), S. 97-108 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We investigate Ising spin systems with general ferromagnetic, translation invariant interactions,H=−ΣJ BσB,J B≧0. We show that the critical temperatureT i for the order parameterp i defined as the temperature below whichp i〉0, is independent of the way in which the symmetry breaking interactions approach zero from above. Furthermore, all the “equivalent” correlation functions have the same critical exponents asT ↗ Ti from below, e.g. for pair interactions all the odd correlations have the same critical index as the spontaneous magnetization. The number of fluid and crystalline phases (periodic equilibrium states) coexisting at a temperatureT at which the energy is continuous is shown to be related to the number of symmetries of the interactions. This generalizes previous results for Ising spins with even (and non-vanishing nearest-neighbour) ferromagnetic interactions. We discuss some applications of these results to the triangular lattice with three body interactions and to the Ashkin-Teller model. Our results give the answer to the question raised by R.J. Baxter et al. concerning the equality of some critical exponents.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01614244
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 12
    Electronic Resource
    Electronic Resource
    On the uniqueness of the Invariant Equilibrium State and surface tension (1977)
    Springer
    Communications in mathematical physics 56 (1977), S. 147-159 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Symmetric Equilibrium States and their properties under duality transformation are investigated. Necessary and sufficient conditions are derived for equilibrium states to be transformed into equilibrium states by duality. It is shown that ferromagnetic systems satisfying those conditions have correlation functions bounded by those corresponding to the (+) and free boundary conditions. It is then proved than any Invariant Equilibrium State of a ferromagnetic system is transformed into an equilibrium state by duality and is thus unique if the states defined by the (+), and free boundary conditions coincide on the symmetric algebra. The existence of surface tension between two pure phases is established.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01611500
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 13
    Electronic Resource
    Electronic Resource
    General properties of polymer systems (1971)
    Springer
    Communications in mathematical physics 22 (1971), S. 133-161 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We prove the existence of the thermodynamic limit for the pressure and show that the limit is a convex, continuous function of the chemical potential. The existence and analyticity properties of the thermodynamic limit for the correlation functions is then derived; we discuss in particular the Mayer Series and the virial expansion. In the special case of Monomer-Dimer systems it is established that no phase transition is possible; moreover it is shown that the Mayer Series for the density is a series of Stieltjes, which yields upper and lower bounds in terms of Padé approximants. Finally it is shown that the results obtained for polymer systems can be used to study classical lattice systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01651334
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 14
    Electronic Resource
    Electronic Resource
    Equilibrium states for classical systems (1975)
    Springer
    Communications in mathematical physics 41 (1975), S. 11-18 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract It is shown that the Dobrushin-Lanford-Ruelle equations for the probability measure μ, and the Kirkwood-Salsburg type equations for the lattice or continuum correlation functions ϱ, and for the spin correlation functions σ, are essentially equivalent for all ϱ, σ, and μ satisfying certain boundedness conditions. It is also noted that the lattice equations are identical to the equations for the stationary states of a certain Markoff process. This extends previous results of Ruelle, Brascamp and Holley who proved some of these equivalences for states.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01608543
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 15
    Electronic Resource
    Electronic Resource
    Green functions of the anisotropic Heisenberg model (1969)
    Springer
    Communications in mathematical physics 11 (1969), S. 198-213 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The Green functions of the anisotropic Heisenberg model are studied by a method which was applied previously to the reduced density matrices. Integral equations are used to prove the existence of the infinite volume limit of the Green functions, and some analyticity properties with respect to the fugacity (or magnetic field), the potentials, and the complex times.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01645806
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 16
    Electronic Resource
    Electronic Resource
    Exact solutions of the multichannel Kondo-lattice model with infinite range hopping (1997)
    Springer
    Journal of low temperature physics 106 (1997), S. 3-19 
    Details
    ISSN: 1573-7357
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In this work, a multichannel Kondo-lattice model is studied in the thermodynamic limit. The conduction band is described by a constant hopping amplitude between any pair of lattice sites. Because of the infinite range hopping, the dimensionality of the lattice can be arbitrary. For this system, we have obtained the exact thermodynamical properties and the ground-state energies. The metal-insulator transition of the system is discussed at zero temperature in detail, and the phase diagram is provided. Because of the infinite range hopping of the conduction band, the model we solve here is different from the usual situation. In the limit of strong interaction between the conduction electrons and the impurity spins, the wavefunctions take the Jastrow product form, which reflects the strong correlations of the impurity spins and the conduction electrons.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02403912
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 17
    Electronic Resource
    Electronic Resource
    On the definition of phase transition (1976)
    Springer
    Journal of statistical physics 14 (1976), S. 81-86 
    Details
    ISSN: 1572-9613
    Keywords: Phase transition ; unicity of equilibrium states
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It is shown that there exists a phase transition associated with a singularity of the free energy for a model such that for all temperatures the equilibrium state is unique and thus stable with respect to boundary perturbations. It is also shown on this model that there exist phase transitions without symmetry breakdown, which can be related to a phase transition with symmetry breakdown on an equivalent model.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01020136
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 18
    Electronic Resource
    Electronic Resource
    On the chiral hubbard model and the chiral Kondo lattice model (1996)
    Springer
    Journal of statistical physics 82 (1996), S. 421-430 
    Details
    ISSN: 1572-9613
    Keywords: Hubbard model ; Kondo lattice model ; integrability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The integrability of the one-dimensional chiral Hubbard model is discussed in the limit of strong interaction,U=∞. The system is shown to be integrable in the sense of the existence of an infinite number of constants of motion. The system is related to a chiral Kondo lattice model at strong interactionJ=+∞.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02189237
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 19
    Electronic Resource
    Electronic Resource
    Molecule formation and the Farey tree in the one-dimensional Falicov-Kimball model (1994)
    Springer
    Journal of statistical physics 76 (1994), S. 125-157 
    Details
    ISSN: 1572-9613
    Keywords: Falicov-Kimball model ; ground states ; phase diagram ; phase separations ; molecules
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The ground-state configurations of the one-dimensional Falicov-Kimball model are studied exactly with numerical calculations revealing unexpected effects for small interaction strength. In neutral systems we observe molecular formation, phase separation, and changes in the conducting properties; while in nonneutral systems the phase diagram exhibits Farey tree order (Aubry sequence) and a devil's staircase structure. Conjectures are presented for the boundary of the segregated domain and the general structure of the ground states.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02188658
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 20
    Electronic Resource
    Electronic Resource
    Ground states of the spinless Falicov-Kimball model. II (1992)
    Springer
    Journal of statistical physics 66 (1992), S. 913-938 
    Details
    ISSN: 1572-9613
    Keywords: Falicov-Kimball model ; ground-state phase diagram ; large-U expansion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In this paper we continue our investigation of the ground states of the spinless Falicov-Kimball model in the plane of chemical potentials of the two sorts of particles involved. We obtain a number of general properties of the phase diagram. We also derive an expansion for large values of the coupling constant, from which we deduce results concerning particular states.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01055709
    Location Call Number Limitation Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...