# Search results for: Jan Fiala

Ekonomický časopis (Journal of Economics) > 2016 > 64 > 6 > 519 – 538

Journal of Statistical Physics > 2010 > 138 > 1-3 > 447-464

*h*. Using ideas from dynamical systems and functional analysis, we show that the free energy

*f*in the vicinity of the second-order phase transition is given, exactly, by $$f\sim\frac{t}{\log t}-\frac{1}{2}\frac{h^2}{t}\quad\mbox{for }h^2\ll t\ll1.$$ Here $t=\lambda_{G}\log(2)(1-\frac{\beta}{\beta_{c}})$ is a reduced temperature,...

Polish Yearbook of International Law > 2009 > 29 > 153-173

Optical and Quantum Electronics > 2009 > 41 > 5 > 409-427

Journal of Statistical Physics > 2006 > 123 > 2 > 455-471

*h*. Utilising ideas from dynamical systems, the free energy of the model is derived by means of an effective cluster energy approximation. This approximation is valid for divergent cluster sizes, and hence appropriate for the discussion of the magnetizing transition. We calculate the phase boundaries and the scaling of the free energy....

Journal of Statistical Physics > 2005 > 121 > 3-4 > 553-577

Journal of Statistical Physics > 2004 > 116 > 5-6 > 1471-1490

*h*. From rigorous and more heuristic arguments, we determine the phase diagram and phase transition behavior of the extended model. Our results are fully consistent with scaling theory...

Journal of Statistical Physics > 2003 > 110 > 1-2 > 73-86