Soft matter science is nowadays an acronym for an increasingly important

class of materials, which ranges from polymers, liquid crystals,

colloids up to complex macromolecular assemblies, covering sizes from

the nanoscale up the microscale. Computer simulations have proven as an

indispensable, if not the most powerful, tool to understand properties

of these materials and link theoretical models to experiments. In this

first volume of a small series recognized leaders of the field review

advanced topics and provide critical insight into the state-of-the-art

methods and scientific questions of this lively domain of soft

condensed matter research.