2003

Ferroelectric Mott-Hubbard phase in organic conductors

Serguei Brazovskii 1, Pierre Monceau 2, F. Ya Nad 3 Synthetic Metals 137 (2003) 1331-1333 We present key issues of related phenomenons of the Ferroelectricity and the Charge Disproportionation in organic metals. In (TMTTF_2X the dielectric susceptibility demonstrates clear cases of the ferroelectric and anti-ferroelectric phase transitions. Both the susceptibility and the conductivity prove independence and occasional coexistence of ‘structurless’ ferroelectric transitions

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Energy exponents and corrections to scaling in Ising spin glasses

Jean-Philippe Bouchaud 1, Florent Krzakala 2, 3, Olivier C. Martin 1, 2 Physical Review B 68 (2003) 224404 We study the probability distribution P(E) of the ground state energy E in various Ising spin glasses. In most models, P(E) seems to become Gaussian with a variance growing as the system’s volume V. Exceptions include the Sherrington-Kirkpatrick model (where the variance grows more slowly, perhaps

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Brownian Motion in wedges, last passage time and the second arc-sine law

Alain Comtet 1, 2, Jean Desbois 1 Journal of Physics A 36 (2003) L255-L262 We consider a planar Brownian motion starting from $O$ at time $t=0$ and stopped at $t=1$ and a set $F= \{OI_i ; i=1,2,…, n\}$ of $n$ semi-infinite straight lines emanating from $O$. Denoting by $g$ the last time when $F$ is reached by the Brownian motion,

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