Method for producing mixed materials

Abstract

To provide a mixed material generation method using a material composition search method for varying an optimal solution of a combination optimization problem of material compositions that gradually approach a target physical property value by the number of materials included in the material compositions.SOLUTION: A mixed material generation method by an information processing system includes an annealing type calculation device using an Ising model, and a material composition search device for converting a combination optimization problem of material compositions that gradually approach a target physical property value into an Ising model to make the calculation device solve the combination optimization problem. The mixed material generation method receives a target value of at least one physical property, converts a mathematical formula obtained by formulating the combination optimization problem of the material compositions into an Ising model, calculates an optimal solution of the material compositions that gradually approach the target value by using the Ising model, and outputs the optimal solution. The mathematical formula is formulated such that it is less likely to be calculated as an optimal solution as the number of materials included in the material compositions increases, and that it is more likely to be calculated as the optimal solution as the number of materials included in the material compositions decreases.SELECTED DRAWING: Figure 5

Claims

1. An information processing system comprising: an annealing-type computing device using the Ising model; a material composition search device that converts a combinatorial optimization problem of material compositions asymptotically approaching target material properties into an Ising model and has the computing device solve it; and a mixed material generation device that generates a mixed material of a specified material composition, An input receiving step that accepts input of a target value for at least one physical property, A conversion step of converting a mathematical formula that formulates a combinatorial optimization problem for material compositions that asymptotically approach the target value from a mixture of materials with known physical properties into the Ising model in a data format usable by the computing device, An optimal solution calculation step, which uses the Ising model to calculate the optimal solution for a material composition that asymptotically approaches the target value, An output control step that outputs the optimal solution of material composition that asymptotically approaches the calculated target value, A control step of controlling the mixed material generating apparatus to generate the mixed material by specifying the optimal solution of material composition that asymptotically approaches the target value, Execute, The above formula is, The formulation is such that, among material compositions that asymptotically approach the target value, the more materials included in the material composition, the more difficult it is to calculate the optimal solution, and the fewer materials included in the material composition, the easier it is to calculate the optimal solution. A method for producing mixed materials.

2. A material composition search device is connected via a communication network to an annealing-type computing device using the Ising model and a mixed material generation device that generates a mixed material with a specified material composition. The device converts a combinatorial optimization problem of material compositions that asymptotically approaches target material properties into an Ising model and has the computing device solve it. An input receiving step that accepts input of a target value for at least one physical property, A conversion step of converting a mathematical formula that formulates a combinatorial optimization problem for material compositions that asymptotically approach the target value from a mixture of materials with known physical properties into the Ising model in a data format usable by the computing device, A collaborative step of transmitting the converted Ising model to the computing device and receiving from the computing device the optimal solution for material composition that asymptotically approaches the target value calculated by the computing device, An output control step that outputs the optimal solution of material composition that asymptotically approaches the received target value, A control step of controlling the mixed material generating apparatus to generate the mixed material by specifying the optimal solution of material composition that asymptotically approaches the target value, Execute, The above formula is, The formulation is such that, among material compositions that asymptotically approach the target value, the more materials included in the material composition, the more difficult it is to calculate the optimal solution, and the fewer materials included in the material composition, the easier it is to calculate the optimal solution. A method for producing mixed materials.

3. The above formula is, A cost function that outputs values ​​such that the closer the physical properties of the mixed material are to the target value, the easier it is to calculate the optimal solution, and the further the physical properties of the mixed material are from the target value, the more difficult it is to calculate the optimal solution. A first constraint condition that outputs a value such that the optimal solution is not calculated when the sum of the ratios of the materials contained in the mixed material does not equal 100%, A second constraint condition outputs a value such that the fewer the number of materials contained in the mixed material, the easier it is to calculate the optimal solution, and the more the number of materials contained in the mixed material, the more difficult it is to calculate the optimal solution. The problem of optimizing the combination of material compositions that asymptotically approach the target value is formulated using an energy function that includes the above. A method for producing a mixed material according to claim 1 or 2, characterized by the above.

4. The method for producing a mixed material according to claim 1 or 2, wherein the aforementioned formula is the following formula (1). [Math 1] However, in formula (1) above, The aforementioned L is the number of physical properties to be optimized. The aforementioned N is the number of materials whose physical properties are known. The aforementioned D k,i This is the property value of the k-th property of material i that we want to optimize. The aforementioned r i This is the following equation (2), which expresses the mixing ratio (composition ratio) of material i using the binary method: [Math 2] The aforementioned D k,0 This is the target value for the k-th physical property of the mixed material that we want to optimize. The aforementioned n i,j This is the number "0" or "1" when the mixing ratio of material i is expressed using the binary method. Said c j This is the coefficient when the mixing ratio of material i is expressed using the binary method. The aforementioned α k β and γ are weighting constants.

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