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  • PACS. 64.30.+t Equations of state of specific substances - 64.60.Cn Order-disorder transformations; statistical mechanics of model systems  (1)
  • PACS. 64.60.-i General studies of phase transitions - 05.70.Ln Nonequilibrium and irreversible thermodynamics - 05.50.+q Lattice theory and statistics (Ising, Potts, etc.)  (1)
  • entropy  (1)
Source
Material
Years
Keywords
  • 1
    Electronic Resource
    Electronic Resource
    Thermodynamics of the spin transition in [Fe"xZn"1"-"x(2-pic)"3]Cl"2 . EtOH
    Amsterdam : Elsevier
    Journal of Physics and Chemistry of Solids 53 (1992), S. 267-275 
    Details
    ISSN: 0022-3697
    Keywords: Spin transition ; entropy ; ordering ; specific heat ; thermodynamics
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0022-3697(92)90055-I
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Analytical solution of 1D Ising-like systems modified by weak long range interaction (1999)
    Springer
    The European physical journal 10 (1999), S. 271-275 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 64.30.+t Equations of state of specific substances - 64.60.Cn Order-disorder transformations; statistical mechanics of model systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: It is well-known that 1D systems with only nearest neighbour interaction exhibit no phase transition. It is shown that the presence of a small long range interaction treated by the mean field approximation in addition to strong nearest neighbour interaction gives rise to hysteresis curves of large width. This situation is believed to exist in spin crossover systems where by the deformation of the spin changing molecules, an elastic coupling leads to a long range interaction, and strong bonding between the molecules in a chain compound leads to large values for nearest neighbour interaction constants. For this interaction scheme an analytical solution has been derived and the interplay between these two types of interaction is discussed on the basis of experimental data of the chain compound which exhibits a very large hysteresis of 50 K above RT at 370 K. The width and shape of the hysteresis loop depend on the balance between long and short range interaction. For short range interaction energies much larger than the transition temperature the hysteresis width is determined by the long range interaction alone.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100510050855
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    One-dimensional Ising-like systems: an analytical investigation of the static and dynamic properties, applied to spin-crossover relaxation (2000)
    Springer
    The European physical journal 15 (2000), S. 317-326 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 64.60.-i General studies of phase transitions - 05.70.Ln Nonequilibrium and irreversible thermodynamics - 05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We investigate the dynamical properties of the 1-D Ising-like Hamiltonian taking into account short and long range interactions, in order to predict the static and dynamic behavior of spin crossover systems. The stochastic treatment is carried out within the frame of the local equilibrium method [1]. The calculations yield, at thermodynamic equilibrium, the exact analytic expression previously obtained by the transfer matrix technique [2]. We mainly discuss the shape of the relaxation curves: (i) for large (positive) values of the short range interaction parameter, a saturation of the relaxation curves is observed, reminiscent of the behavior of the width of the static hysteresis loop [3]; (ii) a sigmoidal (self-accelerated) behavior is obtained for large enough interactions of any type; (iii) the relaxation curves exhibit a sizeable tail (with respect to the mean-field curves) which is clearly associated with the transient onset of first-neighbor correlations in the system, due to the effect of short-range interactions. The case of negative short-range interaction is briefly discussed in terms of two-step properties.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100510051131
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    Paper (German National Licenses)
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