Yardangs and Dunes: Minimum- and Maximum-Dissipation Aeolian Landforms

R. Lorenz
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Abstract

Abstract. Yardangs are ridges formed in soft rock by aeolian erosion in a unidirectional wind environment, and often have a 4 : 1 length : width ratio that is associated with a minimum-drag shape for a given width. Dunes are emergent aeolian landforms formed by accumulation and removal of sand particles. Dunes have a range of morphologies (barchans, stars, linear, transverse etc.) which can be mapped to the sand supply and the diversity of wind directions. The dune pattern that generally emerges is one that maximizes gross bedform normal transport (GBNT). For fixed imposed wind speed, a minimum drag force corresponds to a minimum dissipation, whereas maximum sand transport corresponds to maximum dissipation. These examples illuminate a more general paradox in non-equilibrium thermodynamics, wherein entropy production rates may be maximized or minimized depending, vaguely, on the degrees of freedom in the system. In these geomorphological examples, however, the difference is informatively clear: whereas yardangs emerge simply by removal of material alone and dissipation is minimized, dunes form by the much less constrained removal and accumulation to maximize dissipation.
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沙塘与沙丘:最小和最大耗散风成地貌
摘要Yardangs是由单向风环境下的风蚀作用在软岩中形成的山脊,通常具有1:1的长宽比,这与给定宽度的最小阻力形状有关。沙丘是由沙粒积聚和移动而形成的新兴风成地貌。沙丘有一系列的形态(条形、星形、线形、横形等),这可以映射到沙的供应和风向的多样性。通常出现的沙丘模式是一个最大的总床型正常运输(GBNT)。对于固定施加风速,最小阻力对应最小耗散,而最大输沙对应最大耗散。这些例子阐明了非平衡热力学中一个更普遍的悖论,其中熵产率可能最大化或最小化,模糊地取决于系统中的自由度。然而,在这些地貌学的例子中,差异在信息上是明显的:沙丘的形成仅仅是由于单纯的物质移动和耗散最小化,而沙丘的形成则是由于较少的限制移动和积累,以最大限度地耗散。
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