New trends in nonequilibrium statistical mechanics: classical and quantum systems

Abstract

The main aim of this special issue is to report recent advances and new trends in nonequilibrium statistical mechanics of classical and quantum systems, from both theoretical and experimental points of view, within an interdisciplinary context. In particular, the nonlinear relaxation processes in the dynamics of out-of-equilibrium systems and the role of the metastability and environmental noise will be overviewed. Three main areas of nonequilibrium statistical mechanics will be covered: slow relaxation phenomena and dissipative dynamics; long-range interactions and classical systems; quantum systems. New trends such as quantum thermodynamics and novel types of quantum phase transitions occurring in nonequilibrium steady states and topological phase transitions will be also highlighted.

Equilibrium states corresponding to targeted hyperuniform nonequilibrium pair statistics

“…Probing and characterizing the structural properties of manybody systems in and out of equilibrium is a crucial task in the understanding of a large variety of physical, chemical and biological phenomena. [1][2][3][4][5] An outstanding challenge is the determination of effective interactions in many-body systems that accurately yield equilibrium states with prescribed pair statistics. Solving such inverse problems is a powerful way to tackle the unsolved problem concerning the realizability of prescribed functional forms of pair statistics by many-body systems.…”

Equilibrium States Corresponding to Targeted Hyperuniform Nonequilibrium Pair Statistics

“…Probing and characterizing structural properties of many-body systems in and out of equilibrium is a crucial task in the understanding of a large variety of physical, chemical and biological phenomena. [1][2][3][4][5] An outstanding challenge is the determination of effective interactions in many-body systems that accurately yield equilibrium states with prescribed pair statistics. Solutions to such inverse problems could shed light on the unsolved realizability problem [6][7][8][9][10][11] and be used in coarse-grained models for macromolecules and solutions.…”