Recent experimental developments in diverse areas—ranging from cold atomic gases to
light-driven semiconductors to microcavity arrays—move systems into the focus which are …

Path integrals are a ubiquitous tool in theoretical physics. However, their use is sometimes
hindered by the lack of control on various manipulations–such as performing a change of …

Active-matter systems operate far from equilibrium because of the continuous energy
injection at the scale of constituent particles. At larger scales, described by coarse-grained …

In thermal equilibrium the dynamics of phase transitions is largely controlled by fluctuation-
dissipation relations: On the one hand, friction suppresses fluctuations, while on the other …

Anomalous diffusion is being discovered in a fast growing number of systems. The exact
nature of this anomalous diffusion provides important information on the physical laws …

How diversity is maintained in natural ecosystems is a long-standing question in Theoretical
Ecology. By studying a system that combines ecological dynamics, heterogeneous …

The definition and manipulation of Langevin equations with multiplicative white noise
require special care (one has to specify the time discretisation and a stochastic chain rule …

Path integrals are a central tool when it comes to describing quantum or thermal fluctuations
of particles or fields. Their success dates back to Feynman who showed how to use them …

The stochastic approach aims at describing the long-wavelength part of quantum fields
during inflation by a classical stochastic theory. It is usually formulated in terms of Langevin …

Temperature is a fundamental concept in thermodynamics. In macroscopic thermodynamics,
systems possess their own intrinsic temperature which equals the reservoir temperature …