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We use Monte Carlo simulations to evaluate the feasibility of detectingthermal order by disorder in real antiferromagnetic Ising pyrochlores,frustrated by a magnetic field applied in the $[110]$ direction. Building on anideal system with only nearest-neighbour exchange interactions and a perfectlyoriented field, we consider the effects of dipolar interactions and fieldmisalignment. Our approach is special in that it relies more in the possibilityto switch on and off the entropic drive towards order than in the absence of(or immunity to) a particular perturbation. It can then be applied, inprinciple, to other uncontrolled interactions expected to be naturally presentin real {magnetic} materials. We establish the conditions under which entropiceffects can be discerned from an interaction drive towards order, show how touse neutron scattering as a means to unveil this mechanism, and discusspossible materials where to test these ideas.

Monte Carlo study on the detection of classical order by disorder in real antiferromagnetic Ising pyrochlores