Multicanonical recursions
نویسندگان
چکیده
منابع مشابه
Multicanonical Monte Carlo simulations
Canonical Monte Carlo simulations of disordered systems like spin glasses and systems undergoing rst-order phase transitions are severely hampered by rare event states which lead to exponentially diverging autocorrelation times with increasing system size and hence to exponentially large statistical errors. One possibility to overcome this problem is the multicanonical reweighting method. Using...
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Relying on the recently proposed multicanonical algorithm, we present a numerical simulation of the first order phase transition in the 2d 10-state Potts model on lattices up to sizes 100 × 100. It is demonstrated that the new algorithm lacks an exponentially fast increase of the tunneling time between metastable states as a function of the linear size L of the system. Instead, the tunneling ti...
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The self similar (fractal) structure of the Pascal triangle of binomial coefficients modulo some fixed prime has been known for some time and explored in detail. It turns out that such a fractal structure is the common property arithmetical functions of two variables possessing a more general recursive relation (R) f(i,j) = af(i-l,j) + bf(i 1,j-1) where a and b are fixed integers. 'When a, b ar...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 1996
ISSN: 0022-4715,1572-9613
DOI: 10.1007/bf02189233