Nonlinear Elastic Free Energies and Gradient Young-Gibbs Measures

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11620%2F14%3A10285692" target="_blank" >RIV/00216208:11620/14:10285692 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00220-014-1903-6" target="_blank" >http://dx.doi.org/10.1007/s00220-014-1903-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00220-014-1903-6" target="_blank" >10.1007/s00220-014-1903-6</a>

Result language
angličtina
Original language name
Nonlinear Elastic Free Energies and Gradient Young-Gibbs Measures
Original language description
We investigate, in a fairly general setting, the limit of large volume equilibrium Gibbs measures for elasticity type Hamiltonians with clamped boundary conditions. The existence of a quasiconvex free energy, forming the large deviations rate functional,is shown using a new interpolation lemma for partition functions. The local behaviour of the Gibbs measures can be parametrized by Young measures on the space of gradient Gibbs measures. In view of the unboundedness of the state space, the crucial toolhere is an exponential tightness estimate that holds for a vast class of potentials and the construction of suitable compact sets of gradient Gibbs measures.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GAP201%2F12%2F2613" target="_blank" >GAP201/12/2613: Threshold phenomena in stochastic systems</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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