Metastability in specific-heat measurements: Simulations with the FPU model
نویسندگان
چکیده
منابع مشابه
On Metastability in FPU
We present an analytical study of the Fermi–Pasta–Ulam (FPU) α– model with periodic boundary conditions. We analyze the dynamics corresponding to initial data with some low frequency Fourier modes excited. We show that, correspondignly, a pair of KdV equations constitute the resonant normal form of the system. We also use such a normal form in order to prove the existence of a metastability phe...
متن کاملResonance, Metastability and Blow up in FPU
We consider the FPU model with nonlinearity starting with terms of order n ≥ 3. We compute the resonant normal form in the region where only one low frequency modes is excited and deduce rigorous results on the correspondence between the dynamics of the normal form and that of the complete system. As n varies, we give a criterion in order to deduce whether the FPU phenomenon (formation of a met...
متن کامل5 Resonance , Metastability and Blow up in FPU
We consider the FPU model with nonlinearity starting with terms of order n ≥ 3. We compute the resonant normal form in the region where only one low-frequency mode is excited and deduce rigorous results on the correspondence between the dynamics of the normal form and that of the complete system. As n varies, we give a criterion in order to deduce whether the FPU phenomenon (formation of a meta...
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We report highly sensitive specific heat measurement on mesoscopic superconducting loops at low temperature. These mesoscopic systems exhibit thermal properties significantly different from that of the bulk materials. The measurement is performed on a silicon membrane sensor where 450 000 superconducting aluminium loops are deposited through electron beam lithography under an applied magnetic f...
متن کاملChopping time of the FPU α-model
We study, both numerically and analytically, the time needed to observe the breaking of an FPU α-chain in two or more pieces, starting from an unbroken configuration at a given temperature. It is found that such a “chopping” time is given by a formula that, at low temperatures, is of the Arrhenius-Kramers form, so that the chain does not break up on an observable time-scale. The result explains...
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ژورنال
عنوان ژورنال: Europhysics Letters (EPL)
سال: 2006
ISSN: 0295-5075,1286-4854
DOI: 10.1209/epl/i2006-10158-9