There is a branch of econophysics that has attracted serious attention from some Marxist and other leftist economists. This is the series of studies of income and wealth distributions. Traditionally income has been thought to reflect lognormal distributions, which can arise endogenously from random processes from an initially equal distribution. In fact, labor income appears to follow such a pattern. However, wealth appears to follow the power law distributions of financial asset returns, unsurprisingly, that have fatter tails than lognormal distributions, that is, greater inquality with more people far off into the upper end of the distribution. Econophysics studies of this began around a decade ago, appearing in places like Physica A and European Physical Journal B by people like Levy and Solomon and also Dragulescu and Yakovenko, although John Angle showed some of the things in the early 1990s in the Journal of Mathematical Sociology.
Then it was figured out by people like Yakovenko and some others that income distribution looks lognormal for most of its lower portion, where it is determined by labor outcomes, but that its upper portion looks more like a more unequal power law, a la wealth and financial market returns. The class nature of this then began attracting the attention of some leftist economists such as Allin Cottrill and Paul Cockshott, who have now coauthored a book, Classical Econophysics, with Gregory John Michaelson, Ian P. Wright, and Victor Yakovenko. More of these studies, some done by economists such as Mauro Gallegati and some of his coauthors, including some physicists, have appeared in the 2005 book, Econophysics of Wealth Distributions, ed. by Chatterjee, Yagarladda, and Chakrabarti, Milan: Springer.