{"model": "reduced-order chip thermal stack + hotspot spreading (educational)", "inputs": {"die_power_w": 700.0, "die_size_mm": 20.0, "die_thickness_um": 250.0, "hotspot_power_frac": 0.35, "hotspot_area_frac": 0.05, "tim_conductivity_w_mk": 5.0, "heatsink_resistance_c_w": 0.15, "ambient_c": 25.0}, "outputs": {"thermal_resistance_ja_c_w": 0.1825, "silicon_resistance_c_w": 0.00752, "tim_resistance_c_w": 0.025, "heatsink_resistance_c_w": 0.15, "silicon_conductivity_w_mk": 83.1, "junction_temp_uniform_c": 152.76, "junction_temp_hotspot_c": 266.12, "hotspot_delta_c": 113.36, "avg_power_density_w_cm2": 175.0, "peak_hotspot_flux_w_cm2": 1225.0, "tj_max_c": 100.0, "thermal_margin_c": -166.12, "verdict": "over temperature (whole die exceeds Tj,max -- reduce power or improve cooling)"}, "profile": {"stack": [{"layer": "Silicon die", "r_c_w": 0.00752, "top_c": 152.76, "bot_c": 147.5, "drop_c": 5.26}, {"layer": "TIM", "r_c_w": 0.025, "top_c": 147.5, "bot_c": 130.0, "drop_c": 17.5}, {"layer": "Heatsink", "r_c_w": 0.15, "top_c": 130.0, "bot_c": 25.0, "drop_c": 105.0}], "lateral": [[0.0, 152.77], [0.111, 152.77], [0.222, 152.77], [0.333, 152.77], [0.444, 152.77], [0.556, 152.77], [0.667, 152.77], [0.778, 152.77], [0.889, 152.77], [1.0, 152.77], [1.111, 152.77], [1.222, 152.77], [1.333, 152.77], [1.444, 152.77], [1.556, 152.77], [1.667, 152.77], [1.778, 152.77], [1.889, 152.78], [2.0, 152.78], [2.111, 152.78], [2.222, 152.79], [2.333, 152.8], [2.444, 152.81], [2.556, 152.82], [2.667, 152.83], [2.778, 152.85], [2.889, 152.87], [3.0, 152.89], [3.111, 152.92], [3.222, 152.96], [3.333, 153.0], [3.444, 153.05], [3.556, 153.12], [3.667, 153.2], [3.778, 153.29], [3.889, 153.4], [4.0, 153.53], [4.111, 153.68], [4.222, 153.86], [4.333, 154.08], [4.444, 154.32], [4.556, 154.61], [4.667, 154.95], [4.778, 155.33], [4.889, 155.78], [5.0, 156.28], [5.111, 156.86], [5.222, 157.52], [5.333, 158.27], [5.444, 159.11], [5.556, 160.06], [5.667, 161.12], [5.778, 162.3], [5.889, 163.6], [6.0, 165.05], [6.111, 166.64], [6.222, 168.38], [6.333, 170.28], [6.444, 172.35], [6.556, 174.58], [6.667, 176.99], [6.778, 179.57], [6.889, 182.32], [7.0, 185.24], [7.111, 188.33], [7.222, 191.58], [7.333, 194.98], [7.444, 198.53], [7.556, 202.2], [7.667, 205.98], [7.778, 209.86], [7.889, 213.81], [8.0, 217.8], [8.111, 221.83], [8.222, 225.85], [8.333, 229.84], [8.444, 233.77], [8.556, 237.6], [8.667, 241.32], [8.778, 244.88], [8.889, 248.26], [9.0, 251.42], [9.111, 254.34], [9.222, 256.99], [9.333, 259.34], [9.444, 261.37], [9.556, 263.05], [9.667, 264.39], [9.778, 265.35], [9.889, 265.93], [10.0, 266.12], [10.111, 265.93], [10.222, 265.35], [10.333, 264.39], [10.444, 263.05], [10.556, 261.37], [10.667, 259.34], [10.778, 256.99], [10.889, 254.34], [11.0, 251.42], [11.111, 248.26], [11.222, 244.88], [11.333, 241.32], [11.444, 237.6], [11.556, 233.77], [11.667, 229.84], [11.778, 225.85], [11.889, 221.83], [12.0, 217.8], [12.111, 213.81], [12.222, 209.86], [12.333, 205.98], [12.444, 202.2], [12.556, 198.53], [12.667, 194.98], [12.778, 191.58], [12.889, 188.33], [13.0, 185.24], [13.111, 182.32], [13.222, 179.57], [13.333, 176.99], [13.444, 174.58], [13.556, 172.35], [13.667, 170.28], [13.778, 168.38], [13.889, 166.64], [14.0, 165.05], [14.111, 163.6], [14.222, 162.3], [14.333, 161.12], [14.444, 160.06], [14.556, 159.11], [14.667, 158.27], [14.778, 157.52], [14.889, 156.86], [15.0, 156.28], [15.111, 155.78], [15.222, 155.33], [15.333, 154.95], [15.444, 154.61], [15.556, 154.32], [15.667, 154.08], [15.778, 153.86], [15.889, 153.68], [16.0, 153.53], [16.111, 153.4], [16.222, 153.29], [16.333, 153.2], [16.444, 153.12], [16.556, 153.05], [16.667, 153.0], [16.778, 152.96], [16.889, 152.92], [17.0, 152.89], [17.111, 152.87], [17.222, 152.85], [17.333, 152.83], [17.444, 152.82], [17.556, 152.81], [17.667, 152.8], [17.778, 152.79], [17.889, 152.78], [18.0, 152.78], [18.111, 152.78], [18.222, 152.77], [18.333, 152.77], [18.444, 152.77], [18.556, 152.77], [18.667, 152.77], [18.778, 152.77], [18.889, 152.77], [19.0, 152.77], [19.111, 152.77], [19.222, 152.77], [19.333, 152.77], [19.444, 152.77], [19.556, 152.77], [19.667, 152.77], [19.778, 152.77], [19.889, 152.77], [20.0, 152.77]], "geometry": {"die_size_mm": 20.0, "hotspot_size_mm": 4.472, "die_thickness_um": 250.0, "tim_thickness_um": 50.0}}, "steps": 205, "node": "ip-172-26-4-148", "compute_ms": 0.3}