Williams, StephenEvans, Denis2009-08-202010-12-202009-08-202010-12-20Physical Review, E, Statistical, Nonlinear and Soft Matter Physics 78.2 (2008): 021119/1-71539-3755http://hdl.handle.net/10440/733http://digitalcollections.anu.edu.au/handle/10440/733The mathematics of time-dependent nonlinear response theory frequently leads to results which although formally exact, are not amenable to experimental application or even to use in computer simulations. Here we give a rigorous derivation of a tractable expression for the thermostatted nonlinear response of classical many body systems to time-dependent dissipative fields. The theory also allows for the concurrent parametric transformation of the system Hamiltonian. Our analysis shows once again the intimate relationship between nonequilibrium free-energy relations such as the Jarzynski equality and nonlinear response theory. We make a few remarks concerning the maximum entropy production approximation.7 pageshttp://www.sherpa.ac.uk/romeo/index.php "Author can archive pre-print (ie pre-refereeing) … post-print (ie final draft post-refereeing) … [and] publisher's version/PDF. Link to publisher version … [and] Copyright notice required. Publisher's version/PDF can be used on … employers web site." - from SHERPA/RoMEO site (as at 25/02/10). ©2008 The American Physical SocietyKeywords: Computational methods; Computer simulation; Free energy; Sedimentation; Computer simulations; Experimental application; Hamiltonian; Jarzynski equality; Many-body systems; Maximum entropy production; Non-linear responses; Nonequilibrium free-energy; Nonli2008-08-1510.1103/PhysRevE.78.0211192015-12-09