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The equations of hydrodynamics are solved for a slow squeeze-Oow in the presence of a gradient of the viscosity which, in turn, is caused by a temperature gradient. The gradient induces an asymmetry of the spreading velocity and a drift of the center of mass towards the direction where the viscosity is decreasing. Due to this phenomenon, adjacent asperites in the friction zone between two solids sliding over each other experience an effective attraction.

Squeeze-Flow in the Presence of a Temperature Gradient: Effective Attraction between Asperites in the Friction Zone of Two Solids