curl --request POST \
  --url https://api.fincept.in/quantlib/physics/thermodynamics/clausius-clapeyron \
  --header 'Content-Type: application/json' \
  --header 'X-API-Key: <api-key>' \
  --data '
{
  "delta_H": 40660,
  "T": 373.15,
  "delta_V": 0.03
}
'

{
  "success": true,
  "data": {
    "dP_dT": 3631.8
  }
}

{
  "detail": "Invalid API key"
}

{
  "detail": "Insufficient credits. This endpoint requires 5 credits."
}

{
  "detail": [
    {
      "loc": [
        "<string>"
      ],
      "msg": "<string>",
      "type": "<string>"
    }
  ]
}

quantlib-physics

Calculate Clausius-Clapeyron Equation

Calculates dP/dT along a phase transition curve using the Clausius-Clapeyron equation. This equation relates the slope of the coexistence curve to latent heat and volume change during a first-order phase transition. Applicable to modeling regime transitions and critical phenomena in markets.

Use Cases:

Model phase transitions in market regimes
Analyze critical phenomena and market crashes
Study discontinuous transitions (e.g., liquidity crises)
Regime change sensitivity analysis
Thermodynamic analogies for market structure

Formula: dP/dT = ΔH / (T ΔV)

Where ΔH is latent heat and ΔV is volume change.

Credits: 5 credits per request (Pro Tier) [Tier: ENTERPRISE, Credits: 10]

POST

quantlib

physics

thermodynamics

clausius-clapeyron

curl --request POST \
  --url https://api.fincept.in/quantlib/physics/thermodynamics/clausius-clapeyron \
  --header 'Content-Type: application/json' \
  --header 'X-API-Key: <api-key>' \
  --data '
{
  "delta_H": 40660,
  "T": 373.15,
  "delta_V": 0.03
}
'

{
  "success": true,
  "data": {
    "dP_dT": 3631.8
  }
}

{
  "detail": "Invalid API key"
}

{
  "detail": "Insufficient credits. This endpoint requires 5 credits."
}

{
  "detail": [
    {
      "loc": [
        "<string>"
      ],
      "msg": "<string>",
      "type": "<string>"
    }
  ]
}

Authorizations

X-API-Key

string

header

required

API key for authentication. Get your key at https://api.fincept.in/auth/register

Body

application/json

delta_H

number

required

Latent heat (enthalpy change) during phase transition (J/mol)

Example:

40660

number

required

Temperature at phase transition (Kelvin)

Example:

373.15

delta_V

number

required

Volume change during phase transition (m³/mol)

Example:

0.03

Response

Clausius-Clapeyron equation calculated successfully

success

boolean

Example:

true

data

object

Show child attributes

Free Tier (0 credits)

Basic Tier (1 credit)

Standard Tier (2 credits)

Pro Tier (5 credits)

Enterprise Tier (10 credits)

Calculate Clausius-Clapeyron Equation

Authorizations

Body

Response