V sistemakh s sil'nym besporyadkom lineinyi otklik mozhet sushchestvenno otlichat'sya ot predskazanii lokal'no-odnorodnogo priblizheniya. Pri etom trebovanie ustoichivosti nakladyvaet sushchestvennye ogranicheniya na statisticheskie svoistva sluchainogo operatora, opredelyayushchego otklik sistemy. V doklade budet pokazano, chto v rezhime sil'nogo besporyadka voznikaet dopolnitel'nyi prostranstvennyi masshtab, kotoryi mozhet sushchestvenno prevyshat' mikroskopicheskii masshtab neodnorodnosti.

V chastnosti, voznikayushchii masshtab proyavlyaetsya kak v prostranstvennykh korrelyatsiyakh neaffinnogo uprugogo otklika [1], tak i v povedenii sistemy vblizi granits [2]. Podavlenie neaffinnykh deformatsii vblizi tverdoi poverkhnosti privodit k izmeneniyu lokal'nogo lineinogo otklika v protyazhennoi prigranichnoi oblasti, razmer kotoroi svyazan s tem zhe kharakternym masshtabom. Analiticheskie rezul'taty budut sopostavleny s chislennym modelirovaniem razlichnykh razuporyadochennykh sistem.

[1] D. A. Conyuh, D. V. Babin, I. O. Raikov, Y. M. Beltukov, Large-scale exponential correlations of nonaffine elastic response of strongly disordered materials, Phys. Rev. B 113, 174207 (2026).

[2] D. V. Babin, I. O. Raikov, Y. M. Beltukov, Nanoscale Linear Response of Strongly Disordered Stable Solids, arXiv:2607.23768.