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Statistical mechanics of phase transitions

Statistical mechanics of phase transitions,Jm Yeomans

Statistical mechanics of phase transitions   (Citations: 262)
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Published in 2002.
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    • ...The spin-1/2 Ising model [1] has been a remarkably successful model of a short-range interacting system to study phase transitions in magnetic, order-disorder, ferroelectric systems, etc...

    J. G. Garcíaet al. Monte Carlo Study of Ising Critical Isotherms

    • ... the classical hard sphere model is appropriate [2, page 84]; again there are no proofs of a phase transition in this model, but there are many simulations [2, 3]. Traditionally such a transition is “understood” theoretically through an order parameter associated with some global (emergent) property of the bulk material, in particular the molecular-level crystalline symmetry which can be detected experimentally in X-ray scattering [4]...

    David Aristoffet al. Rigidity in Solids

    • ...The pickup exhibited in Fig. 1 and Fig. 2 for precipitation, which corresponds to an order parameter, is well known in systems in which the variable corresponding to w, known as the tuning parameter, is externally controlled (Yeomans 1992)...
    • ...(ii) A smooth pickup just below the critical value also occurs in the near neighborhood of a critical point in models where there is a conjugate field, such as an external magnetic field in an Ising model (Yeomans 1992)...

    J. David Neelinet al. The Transition to Strong Convection

    • ...It turns out that these phase transitions only occur when there is a singularity (non-analyticity) in the so-called free energy of the lattice system or in one of its derivatives [3]...
    • ...N 2 with k =1 , 2, 3 can be utilized to identify critical points and local behavior of thermodynamic functions in the neighborhood [3] Perhaps the most intriguing, difficult and potentially promising problem would be understanding the relationship between RG transformations and continuous wavelets, and the application of the latter to identifying phase transition...

    Gagan Mirchandaniet al. Looking through wavelets to view the Ising problem

    • ...[20]. Here, we choose on purely statistical grounds...

    John M. Fry. Statistical modelling of financial crashes: Rapid growth, illusion of ...

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