Functional methods in statistical mechanics; Kinetics processes in condensed matter; Models of statistical physics; irreversibility mechanisms in classical systems.
Main publications:
A. Yu. Zakharov, “Exact Calculation Method of Partition Function for One-Component Classical Systems with Two-Body Interactions”, Physics Letters A, 147:8/9 (1990), 442–444
A. Yu. Zakharov, I. K. Loktionov, “Klassicheskaya statistika odnokomponentnykh sistem s modelnymi potentsialami”, Teoreticheskaya i matematicheskaya fizika, 119:1 (1999), 167–176
A. Yu. Zakharov, Funktsionalnye metody v klassicheskoi statisticheskoi fizike, Uchebno-metodicheskoe posobie, Novgorodskii universitet, 2006, 52 s.
A. Yu. Zakharov, Reshetochnye modeli statisticheskoi fiziki, Uchebno-metodicheskoe posobie, Novgorodskii universitet, 2006, 73 s.
A. Yu. Zakharov, “Variational principle for Kadanoff-Baym kinetic equations”, Transport Theory and Statistical Physics, 37:5-7 (2008), 613–623
A. Yu. Zakharov, “On the probability-free mechanism of macroscopic irreversibility and microscopic foundation of thermodynamics”, Fizika Tverdogo Tela, 61:12 (2019), 2430; Phys. Solid State, 61:12 (2019), 2442–2445
Yu. D. Zavorotnev, A. Yu. Zakharov, L. S. Metlov, “Resonances of the spatial distribution of dislocations upon interaction with the structural order parameter”, Fizika Tverdogo Tela, 60:7 (2018), 1348–1352; Phys. Solid State, 60:7 (2018), 1358–1362
2017
3.
Yu. D. Zavorotnev, A. Yu. Zakharov, L. S. Metlov, “Effect of dislocations on the structural order parameter in a crystal upon torsional strain”, Fizika Tverdogo Tela, 59:11 (2017), 2266–2271; Phys. Solid State, 59:11 (2017), 2290–2295
A. Yu. Zakharov, “Построение пространственного индекса с использованием квадро- и $R$-деревьев”, Issled. Inform., 3 (2001), 133–138
1999
5.
A. Yu. Zakharov, I. K. Loktionov, “Classical statistics of one-component systems with model potentials”, TMF, 119:1 (1999), 167–176; Theoret. and Math. Phys., 119:1 (1999), 532–539
A. Yu. Zakharov, I. K. Loktionov, Ya. I. Granovskii, “The theory of phase transition of the second kind in one-component classical systems”, TVT, 35:3 (1997), 367–372; High Temperature, 35:3 (1997), 361–366