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  • phase transition
  • Springer  (26)
  • American Chemical Society
  • American Geophysical Union
  • De Gruyter
  • Emerald
  • 2000-2004  (14)
  • 1970-1974  (12)
  • 1955-1959
  • 1930-1934
Collection
Publisher
  • Springer  (26)
  • American Chemical Society
  • American Geophysical Union
  • De Gruyter
  • Emerald
Years
Year
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Potential analysis 13 (2000), S. 367-408 
    ISSN: 1572-929X
    Keywords: Gibbs measures ; infinite-dimensional diffusions ; phase transition ; cluster expansion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Gibbs states on path spaces of the form C $$\left( {\mathbb{R},\mathbb{R}} \right)^{\mathbb{Z}^d }$$ infinite stochastic differential equations of gradient type or as thermodynamic limits constructed with help of the method of cluster expansions.
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 11 (1974), S. 159-167 
    ISSN: 1572-9613
    Keywords: Hubbard model ; ferromagnetism ; high-temperature expansion ; phase transition
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The first ten terms of the high-temperature expansion of the susceptibility of the single-band Hubbard model in the strong correlation limit are obtained for arbitrary electron density. The series is analyzed by ratio methods and Padé approximants. A critical temperature is found for 0.2 ⩽ρ ⩽ 0.8; forρ 〉 1 further terms in the series are required.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 10 (1974), S. 299-319 
    ISSN: 1572-9613
    Keywords: Bose-Einstein condensation ; phase transition ; helium thin films ; one-dimensional systems ; two-dimensional systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We show that the one- and two-dimensional ideal Bose gases undergo a phase transition if the temperature is lowered at constant pressure. At the pressure-dependent transition temperature Tc (P) and in their thermodynamic limit the specific heat at constant pressure cp and the particle densityn diverge, the entropyS and specific heat at constant volumec v fall off sharply but continuously to zero, and the fraction of particles in the ground state N0/N jumps discontinuously from zero to one. This Bose-Einstein condensation provides a remarkable example of a transition which has most of the properties of a second-order phase transition, except that the order parameter is discontinuous. The nature of the condensed state is described in the large but finiteN regime, and the width of the transition region is estimated. The effects of interactions in real one- and two-dimensional Bose systems and recent experiments on submonolayer helium films are discussed briefly.
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 9 (1973), S. 23-44 
    ISSN: 1572-9613
    Keywords: Lattice gas ; phase transition ; Peierls' argument
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Systems of hard hexagons on a triangular lattice are investigated. The orientation of the hexagons is kept fixed, while the size of the hexagons is varied. The existence of a phase transition is proved for all sizes by means of the Peierls'argument. The proof does not imply a phase transition in the continuous limit.
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 98 (2000), S. 1049-1061 
    ISSN: 1572-9613
    Keywords: Gibbs measure ; phase transition ; lattice spin system ; discrete symmetry breaking
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Georgii's theorem ensures that, restricted to two-dimensional planes, a single ocean (i.e., infinite connected component) of a ground state and islands (i.e., finite connected components) are observed in lattice spin systems at sufficiently low temperature. This paper extends his results for higher dimensional hyperplanes. Our proof is mainly based on a kind of Peierls argument and is different from Georgii's, which relies on the percolation method.
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  • 6
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    Springer
    Journal of statistical physics 10 (1974), S. 471-484 
    ISSN: 1572-9613
    Keywords: Equation of state ; internal virial ; density fluctuations ; mean-square fluctuation ; probability ; probability distribution function ; phase transition ; isotherm ; critical region
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The influence of inhomogeneity of particle density on the equation of state has been considered in the approximation of homogeneous fluctuations. The formula for the relative mean square fluctuation has been derived taking into account intermolecular interaction. It has been shown that the density fluctuations cannot be neglected near the coexistence curve. This curve has been obtained without recourse to the Maxwell construction; unphysical parts of the van der Waals isotherms in fact never appear in the theory. Experimental parameters have not been used.
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 4 (1972), S. 15-41 
    ISSN: 1572-9613
    Keywords: Polymer ; hydrogen bond ; phase transition ; zeros of partition function ; lattice model ; binary mixture ; ice-rule ferroelectric
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A class of lattice models for a binary mixture is defined by assuming that one of the components may form bonds to neighboring molecules of the same species. It is assumed that the fugacity of a molecule depends on the number of bonds which connect the molecule to other molecules. If no molecule is allowed to be connected by more than two bonds to other molecules, then no phase transition occurs, while phase transition can occur if more than two bonds are allowed. If only two or no bonds are allowed, then the model can be solved rigorously for certain planar lattices by transforming it to a dimer covering problem; this model shows behavior similar to the Ising model in zero magnetic field.
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 9 (1973), S. 317-329 
    ISSN: 1572-9613
    Keywords: Correlation function ; ɛ-expansion ; ordered state ; phase transition
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The correlation function and the correlation length are discussed in the theoretical framework of the Wilson-Feynman diagram expansion for small ε=4−d. It is shown explicitly that to order ε2 the scaling relation γ= ν(2−η) is satisfied and that the correlation function is a homogeneous function ofk and ξ. The explicit form of the scaled correlation function is exhibited.
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 9 (1973), S. 235-264 
    ISSN: 1572-9613
    Keywords: Polymer model ; chain folding ; phase transition ; grand partition function ; transfer matrix ; integral equation ; eigenvalue spectrum ; fluctuations ; correlations ; end effects
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A two-dimensional model of polymer chain folding invented by Zwanzig and Lauritzen is here studied using a grand ensemble and transfer matrix method. Due to the character of the model, there are no extensive parameters in the grand ensemble and the dispersion in system size is large, raising doubts about the validity and usefulness of the ensemble. We find it possible to define a thermodynamic limit such that it leads to near equivalence between the canonical and grand ensembles in the limit of large systems. The transfer matrix in this case is a nonlocal operator on a space of L2 functions, and the eigenvalue equation is a homogeneous Fredholm integral equation of the second kind which can be completely solved in terms of Bessel functions. The grand partition function can then be expressed as a sum of powers of the known eigenvalues. It is an easy matter to reproduce the second-order phase transition in the canonical ensemble found in the original work on the model. The investigation is extended to yield the probability densities describing the length of a segment and the correlations among segments. The concept of a local width of the folded chain is found to break down at higher temperatures, while critical correlations are characterized by infinite range, as expected. Apart from physical and methodological implications, the new solution provides striking illustrations of some basic ideas concerning phase transitions.
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Journal of thermal analysis and calorimetry 60 (2000), S. 463-472 
    ISSN: 1572-8943
    Keywords: calcite ; calcium carbonate polymorphs ; phase transition ; thermodynamics ; vaterite
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Although vaterite is the least stable anhydrous calcium carbonate polymorph, it is formed as a metastable phase in some normal and pathological biomineralisation processes. In this work, thermodynamic aspects of the vaterite-calcite phase transition were comprehensively studied. Vaterite samples were prepared by different methods and characterised for the composition, crystal structure, specific surface and grain size. All products were identified to be pure vaterite by careful X-ray diffraction measurements. The enthalpy and Gibbs energy of transition were determined by precise calorimetric and potentiometric measurements. The reliability of the thermodynamic data for the vaterite-calcite phase transition derived from this work was shown by the use of different calorimetric methods to determine the enthalpy of transition and the independent measurements of heat capacity and entropy of vaterite. Our recommended values are Δtrs G*=−2.9±0.2 kJ mol−1 , Δ trs H *=−3.4±0.2 kJ mol−1 and Δ trs S *=−1.7±0.9 J K−1 mol−1 , where the uncertainties are given as twice the standard deviations.
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